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Normal distribution In statistics, a normal distribution (also known as Gaussian, Gauss, or Laplace–Gauss distribution) is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is\n\n \n \n \n f\n (\n x\n )\n =\n \n \n 1\n \n σ\n \n \n 2\n π\n \n \n \n \n \n \n e\n \n −\n \n \n 1\n 2\n \n \n \n \n (\n \n \n \n x\n −\n μ\n \n σ\n \n \n )\n \n \n 2\n \n \n \n \n \n \n {\displaystyle f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}}\n The parameter \n \n \n \n μ\n \n \n {\displaystyle \mu }\n is the mean or expectation of the distribution (and also its median and mode), while the parameter \n \n \n \n σ\n \n \n {\displaystyle \sigma }\n is its standard deviation.
Probability distribution In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space).For instance, if X is used to denote the outcome of a coin toss ("the experiment"), then the probability distribution of X would take the value 0.5 (1 in 2 or 1/2) for X = heads, and 0.5 for X = tails (assuming that the coin is fair).
Linux distribution A Linux distribution (often abbreviated as distro) is an operating system made from a software collection that includes the Linux kernel and, often, a package management system. Linux users usually obtain their operating system by downloading one of the Linux distributions, which are available for a wide variety of systems ranging from embedded devices (for example, OpenWrt) and personal computers (for example, Linux Mint) to powerful supercomputers (for example, Rocks Cluster Distribution).
List of Linux distributions This page provides general information about notable Linux distributions in the form of a categorized list. Distributions are organized into sections by the major distribution or package management system they are based on.
Pareto distribution The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, (Italian: [paˈreːto] US: pə-RAY-toh), is a power-law probability distribution that is used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena. Originally applied to describing the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population.
Heavy-tailed distribution In probability theory, heavy-tailed distributions are probability distributions whose tails are not exponentially bounded: that is, they have heavier tails than the exponential distribution. In many applications it is the right tail of the distribution that is of interest, but a distribution may have a heavy left tail, or both tails may be heavy.
Arrested Development Arrested Development is an American television sitcom created by Mitchell Hurwitz, which originally aired on Fox for three seasons from 2003 to 2006, followed by a two-season revival on Netflix from 2013 to 2019. The show follows the Bluths, a formerly wealthy dysfunctional family.
Sustainable development Sustainable development is an organizing principle for meeting human development goals while also sustaining the ability of natural systems to provide the natural resources and ecosystem services on which the economy and society depend. The desired result is a state of society where living conditions and resources are used to continue to meet human needs without undermining the integrity and stability of the natural system.
Research and development Research and development (R&D or R+D), known in Europe as research and technological development (RTD), is the set of innovative activities undertaken by corporations or governments in developing new services or products, and improving existing ones. Research and development constitutes the first stage of development of a potential new service or the production process.
Prenatal development Prenatal development (from Latin natalis 'relating to birth') includes the development of the embryo and of the foetus during a viviparous animal's gestation. Prenatal development starts with fertilization, in the germinal stage of embryonic development, and continues in fetal development until birth.
Equity (finance) In finance, equity is ownership of assets that may have debts or other liabilities attached to them. Equity is measured for accounting purposes by subtracting liabilities from the value of the assets.
Taxable income Taxable income refers to the base upon which an income tax system imposes tax. In other words, the income over which the government imposed tax.
Income tax An income tax is a tax imposed on individuals or entities (taxpayers) in respect of the income or profits earned by them (commonly called taxable income). Income tax generally is computed as the product of a tax rate times the taxable income.
Income tax in the United States Income taxes in the United States are imposed by the federal government, and most states. The income taxes are determined by applying a tax rate, which may increase as income increases, to taxable income, which is the total income less allowable deductions.
State income tax In addition to federal income tax collected by the United States, most individual U.S. states collect a state income tax. Some local governments also impose an income tax, often based on state income tax calculations.
Income tax in Canada Income taxes in Canada\nconstitute the majority of the annual revenues of the Government of Canada, and of the governments of the Provinces of Canada. In the fiscal year ending 31 March 2018, the federal government collected just over three times more revenue from personal income taxes than it did from corporate income taxes.Tax collection agreements enable different governments to levy taxes through a single administration and collection agency.
Corporate tax A corporate tax, also called corporation tax or company tax, is a direct tax imposed on the income or capital of corporations or analogous legal entities. Many countries impose such taxes at the national level, and a similar tax may be imposed at state or local levels.
Income tax in Australia Income tax in Australia is imposed by the federal government on the taxable income of individuals and corporations. State governments have not imposed income taxes since World War II. On individuals, income tax is levied at progressive rates, and at one of two rates for corporations.
Shareholder A shareholder (in the United States often referred to as stockholder) of a corporation is an individual or legal entity (such as another corporation, a body politic, a trust or partnership) that is registered by the corporation as the legal owner of shares of the share capital of a public or private corporation. Shareholders may be referred to as members of a corporation.
Stockholder of record Stockholder of record is the name of an individual or entity shareholder that an issuer carries in its shareholder register as the registered holder (not necessarily the beneficial owner) of the issuer's securities. Dividends and other distributions are paid only to shareholders of record.
Shareholders' agreement A shareholders' agreement (sometimes referred to in the U.S. as a stockholders' agreement) (SHA) is an agreement amongst the shareholders or members of a company. In practical effect, it is analogous to a partnership agreement.
Public company A public company, publicly traded company, publicly held company, publicly listed company, or public limited company is a company whose ownership is organized via shares of stock which are intended to be freely traded on a stock exchange or in over-the-counter markets. A public (publicly traded) company can be listed on a stock exchange (listed company), which facilitates the trade of shares, or not (unlisted public company).
Jessica Stockholder Jessica Stockholder (born 1959) is a Canadian-American artist known for site-specific installation works and sculptures that are often described as "paintings in space." She came to prominence in the early 1990s with monumental works that challenged boundaries between artwork and display environment as well as between pictorial and physical experience. Her art often presents a "barrage" of bold colors, textures and everyday objects, incorporating floors, walls and ceilings and sometimes spilling out of exhibition sites.
Derivative suit A shareholder derivative suit is a lawsuit brought by a shareholder on behalf of a corporation against a third party. Often, the third party is an insider of the corporation, such as an executive officer or director.
Friedman doctrine The Friedman doctrine, also called shareholder theory or stockholder theory, is a normative theory of business ethics advanced by economist Milton Friedman which holds that the social responsibility of business is to increase its profits. This shareholder primacy approach views shareholders as the economic engine of the organization and the only group to which the firm is socially responsible.
2022–23 UEFA Europa Conference League The 2022–23 UEFA Europa Conference League will be the second season of the UEFA Europa Conference League, Europe's tertiary club football tournament organised by UEFA.\nThe final will be played at Sinobo Stadium in Prague, Czech Republic. The winners of the 2022–23 UEFA Europa Conference League will automatically qualify for the 2023–24 UEFA Europa League group stage, unless they manage to qualify for the 2023–24 UEFA Champions League group stage.As the title holders of the Europa Conference League, Roma qualified for the 2022–23 UEFA Europa League.
2022–23 UEFA Europa League The 2022–23 UEFA Europa League will be the 52nd season of Europe's secondary club football tournament organised by UEFA, and the 14th season since it was renamed from the UEFA Cup to the UEFA Europa League.\nThe final will be played at the Puskás Aréna in Budapest, Hungary.
2022–23 UEFA Champions League The 2022–23 UEFA Champions League will be the 68th season of Europe's premier club football tournament organised by UEFA, and the 31st season since it was renamed from the European Champion Clubs' Cup to the UEFA Champions League.\nThe final will be played at the Atatürk Olympic Stadium in Istanbul, Turkey.
UEFA Europa Conference League The UEFA Europa Conference League (abbreviated as UECL), colloquially referred to as the UEFA Conference League, is an annual football club competition organised by the Union of European Football Associations (UEFA) for eligible European football clubs. Clubs qualify for the competition based on their performance in their national leagues and cup competitions.
2021–22 UEFA Champions League The 2021–22 UEFA Champions League was the 67th season of Europe's premier club football tournament organised by UEFA, and the 30th season since it was renamed from the European Champion Clubs' Cup to the UEFA Champions League.\nReal Madrid defeated Liverpool 1–0 in the final, which was played at the Stade de France in Saint-Denis, France, for a record-extending 14th title, and their fifth in nine years.
2021–22 UEFA Europa Conference League The 2021–22 UEFA Europa Conference League was the inaugural season of the UEFA Europa Conference League, Europe's tertiary club football tournament organised by UEFA.\nThe final was played at the Arena Kombëtare in Tirana, Albania, with Roma defeating Feyenoord 1–0. As winners, Roma automatically qualified for the 2022–23 UEFA Europa League group stage, although they had already done so through their league position.This season was the first since 1999–2000 (the first season after the dissolution of the UEFA Cup Winners' Cup) where three major European club competitions (UEFA Champions League, UEFA Europa League, and UEFA Europa Conference League) took place.On 24 June 2021, UEFA approved the proposal to abolish the away goals rule in all UEFA club competitions, which had been used since 1965.
Risk Factors
AGREE REALTY CORP ITEM 1A RISK FACTORS General We rely significantly on three major tenants
As of December 31, 2005, we derived approximately 67prca of our annualized base rent from three major tenants, Borders, Walgreen and Kmart
In the event of a default by any of these tenants under their leases, we may experience delays in enforcing our rights as lessor and may incur substantial costs in protecting our investment
The bankruptcy or insolvency of any of the major tenants would likely have a 6 _________________________________________________________________ [57]Table of Contents material adverse effect on the properties affected and the income produced by those properties and correspondingly our ability to make distributions
In the event that certain tenants cease to occupy a property, although under most circumstances such a tenant would remain liable for its lease payments, such an action may result in certain other tenants having the right to terminate their leases at the affected property, which could adversely affect the future income from that property
As of December 31, 2005, 12 of our properties had tenants with those provisions in their leases
We could be adversely affected by a tenant’s bankruptcy
We may not be able to evict a tenant solely because of its bankruptcy
On the other hand, a bankruptcy court might authorize the tenant to terminate its leases with us
If that happens, our claim against the bankrupt tenant for unpaid future rent would be subject to statutory limitations that might be substantially less than the remaining rent we are owed under the leases
In addition, any claim we have for unpaid past rent would likely not be paid in full
Risks involved in single tenant leases
We focus our development activities on net leased real estate or interests therein
Because our properties are generally leased to single tenants, the financial failure of or other default by a tenant resulting in the termination of a lease is likely to cause a significant reduction in our operating cash flow and might decrease the value of the property leased to such tenant
Risks associated with borrowing, including loss of properties in the event of a foreclosure
At December 31, 2005, our ratio of indebtedness to market capitalization was approximately 22dtta3prca
The use of leverage presents an additional element of risk in the event that (1) the cash flow from lease payments on our properties is insufficient to meet debt obligations, (2) we are unable to refinance our debt obligations as necessary or on as favorable terms or (3) there is an increase in interest rates
If a property is mortgaged to secure payment of indebtedness and we are unable to meet mortgage payments, the property could be foreclosed upon with a consequent loss of income and asset value to us
Under the “cross-default” provisions contained in mortgages encumbering some of our properties, our default under a mortgage with a lender would result in our default under mortgages held by the same lender on other properties resulting in multiple foreclosures
Risks associated with our development and acquisition activities
We intend to continue development of new properties and to consider possible acquisitions of existing properties
New project development is subject to a number of risks, including risks of construction delays or cost overruns that may increase project costs, risks that the properties will not achieve anticipated occupancy levels or sustain anticipated rent levels, and new project commencement risks such as receipt of zoning, occupancy and other required governmental permits and authorizations and the incurrence of development costs in connection with projects that are not pursued to completion
In addition, we anticipate that our new development will be financed under lines of credit or other forms of construction financing that will result in a risk that permanent financing on newly developed projects might not be available or would be available only on disadvantageous terms
In addition, the fact that we must distribute 90prca of our taxable income in order to maintain our qualification as a REIT will limit our ability to rely upon income from operations or cash flow from operations to finance new development or acquisitions
As a result, if permanent debt or equity financing was not available on acceptable terms to refinance new development or acquisitions undertaken without permanent financing, further development activities or acquisitions might be curtailed or cash available for distribution might be adversely affected
Acquisitions entail risks that investments will fail to perform in accordance with expectations and that judgments with respect to the costs of improvements to bring an acquired property up to standards established for the market position intended for that property will prove inaccurate, as well as general investment risks associated with any new real estate investment
Our portfolio has limited geographic diversification
Our properties are located primarily in the Midwestern United States and Florida
The concentration of our properties in a limited number of geographic regions creates the risk that, should these regions experience an economic downturn, our operations may be adversely affected
Thirty-three of our properties are located in Michigan
Should Michigan experience an economic downturn, our operations and our rentals from our Michigan properties could be adversely affected
Dependence on key personnel
We are dependent on the efforts of our executive officers
The loss of one or more of our executive officers would likely have a material adverse effect on our future development or 7 _________________________________________________________________ [58]Table of Contents acquisition operations, which could adversely affect the market price of our common stock
We do not presently have key-man life insurance for any of our employees
We are not limited by our organization documents as to the amount of debt we may incur
We intend to maintain a ratio of total indebtedness (including construction or acquisition financing) to market capitalization of 65prca or less
Nevertheless, we may operate with debt levels which are in excess of 65prca of market capitalization for extended periods of time
Our organization documents contain no limitation on the amount or percentage of indebtedness which we may incur
Therefore, our board of directors, without a vote of the stockholders, could alter the general policy on borrowings at any time
If our debt capitalization policy were changed, we could become more highly leveraged, resulting in an increase in debt service that could adversely affect our operating cash flow and our ability to make expected distributions to stockholders, and could result in an increased risk of default on our obligations
We can change our investment and financing policies without stockholder approval
Our investment and financing policies, and our policies with respect to certain other activities, including our growth, debt capitalization, distributions, REIT status and investment and operating policies, are determined by our board of directors
Although we have no present intention to do so, these policies may be amended or revised from time to time at the discretion of our board of directors without a vote of our stockholders
We face competition in seeking properties for acquisition and tenants who will lease space in these properties from insurance companies, credit companies, pension funds, private individuals, investment companies and other REITs, many of which have greater financial and other resources than we do
There can be no assurance that the Company will be able to successfully compete with such entities in its development, acquisition and leasing activities in the future
Risks Associated With Investment In Real Estate There are risks associated with owning and leasing real estate
Although our lease terms obligate the tenants to bear substantially all of the costs of operating our properties, investing in real estate involves a number of risks, including: • The risk that tenants will not perform under their leases, reducing our income from the leases or requiring us to assume the cost of performing obligations (such as taxes, insurance and maintenance) that are the tenant’s responsibility under the lease
• The risk that changes in economic conditions or real estate markets may adversely affect the value of our properties
• The risk that local conditions (such as oversupply of similar properties) could adversely affect the value of our properties
• The risk that we may not always be able to lease properties at favorable rental rates
• The risk of changes in tax, zoning or other laws could make properties less attractive or less profitable
If a tenant fails to perform on its lease covenants, that would not excuse us from meeting any mortgage debt obligation secured by the property and could require us to fund reserves in favor of our mortgage lenders, thereby reducing funds available for payment of dividends on our shares of common stock
We cannot be assured that tenants will elect to renew their leases when the terms expire
If a tenant does not renew its lease or if a tenant defaults on its lease obligations, there is no assurance we could obtain a substitute tenant on acceptable terms
If we 8 _________________________________________________________________ [59]Table of Contents cannot obtain another tenant with comparable structural needs, we may be required to modify the property for a different use, which may involve a significant capital expenditure and a delay in re-leasing the property
Uncertainties relating to lease renewals and re-letting of space
We are subject to the risks that, upon expiration of leases for space located in our properties, the premises may not be re-let or the terms of re-letting (including the cost of concessions to tenants) may be less favorable than current lease terms
If we are unable to re-let promptly all or a substantial portion of our retailers or if the rental rates upon such re-letting were significantly lower than expected rates, our net income and ability to make expected distributions to stockholders would be adversely affected
There can be no assurance that we will be able to retain tenants in any of our properties upon the expiration of their leases
Some potential losses are not covered by insurance
Our leases require the tenants to carry comprehensive liability, casualty, workers’ compensation, extended coverage and rental loss insurance on our properties
However, there are some types of losses, such as terrorist acts or catastrophic acts of nature, for which we or our tenants cannot obtain insurance at an acceptable cost
If there is an uninsured loss or a loss in excess of insurance limits, we could lose both the revenues generated by the affected property and the capital we have invested in the property
We believe the required coverage is of the type, and amount, customarily obtained by an owner of similar properties
We believe all of our properties are adequately insured
We would, however, remain obligated to repay any mortgage indebtedness or other obligations related to the property
Potential liability for environmental contamination could result in substantial costs
Under federal, state and local environmental laws, we may be required to investigate and clean up any release of hazardous or toxic substances or petroleum products at our properties, regardless of our knowledge or actual responsibility, simply because of our current or past ownership of the real estate
If unidentified environmental problems arise, we may have to make substantial payments, which could adversely affect our cash flow and our ability to make distributions to our stockholders
This potential liability results from the fact that: • As owner we may have to pay for property damage and for investigation and clean-up costs incurred in connection with the contamination
• The law may impose clean-up responsibility and liability regardless of whether the owner or operator knew of or caused the contamination
• Even if more than one person is responsible for the contamination, each person who shares legal liability under environmental laws may be held responsible for all of the clean-up costs
Governmental entities and third parties may sue the owner or operator of a contaminated site for damages and costs
These costs could be substantial and in extreme cases could exceed the value of the contaminated property
The presence of hazardous substances or petroleum products or the failure to properly remediate contamination may adversely affect our ability to borrow against, sell or lease an affected property
In addition, some environmental laws create liens on contaminated sites in favor of the government for damages and costs it incurs in connection with a contamination
Our leases require our tenants to operate the properties in compliance with environmental laws and to indemnify us against environmental liability arising from the operation of the properties
However, we could be subject to strict liability under environmental laws because we own the properties
There is also a risk that tenants may not satisfy their environmental compliance and indemnification obligations under the leases
Any of these events could substantially increase our cost of operations, require us to fund environmental indemnities in favor of our secured lenders and reduce our ability to service our secured debt and pay dividends to stockholders and any debt security interest payments
Environmental problems at any properties could also put us in default under loans secured by those properties, as well as loans secured by unaffected properties
9 _________________________________________________________________ [60]Table of Contents Real estate investments are relatively illiquid
We may desire to sell a property in the future because of changes in market conditions or poor tenant performance or to avail ourselves of other opportunities
We may also be required to sell a property in the future to meet secured debt obligations or to avoid a secured debt loan default
Real estate projects cannot always be sold quickly, and we cannot assure you that we could always obtain a favorable price
We may be required to invest in the restoration or modification of a property before we can sell it
Tax Risks We will be subject to increased taxation if we fail to qualify as a REIT for federal income tax purposes
A REIT generally is not taxed at the corporate level on income it distributes to its stockholders, as long as it distributes annually at least 90prca of its taxable income to its stockholders
We have not requested and do not plan to request, a ruling from the Internal Revenue Service that we qualify as a REIT If we fail to qualify as a REIT, we will face tax consequences that will substantially reduce the funds available for payment of dividends: • We would not be allowed a deduction for dividends paid to stockholders in computing our taxable income and would be subject to federal income tax at regular corporate rates
• We could be subject to the federal alternative minimum tax and possibly increased state and local taxes
• Unless we are entitled to relief under statutory provisions, we could not elect to be treated as a REIT for four taxable years following the year in which we were disqualified
In addition, if we fail to qualify as a REIT, we will no longer be required to pay dividends (other than any mandatory dividends on any preferred shares we may offer)
As a result of these factors, our failure to qualify as a REIT could adversely effect the market price for our common stock
Excessive non-real estate asset values may jeopardize our REIT status
In order to qualify as a REIT, at least 75prca of the value of our assets must consist of investments in real estate, investments in other REITs, cash and cash equivalents, and government securities
Therefore, the value of any property that is not considered a real estate asset for federal income tax purposes must represent in the aggregate less than 25prca of our total assets
In addition, under federal income tax law, we may not own securities in any one company (other than a REIT, a qualified REIT subsidiary or a taxable REIT subsidiary) which represent in excess of 10prca of the voting securities or 10prca of the value of all securities of any one company, or which have, in the aggregate, a value in excess of 5prca of our total assets, and we may not own securities of one or more taxable REIT subsidiaries which have, in the aggregate, a value in excess of 20prca of our total assets
We may invest in securities of another REIT, and our investment may represent in excess of 10prca of the voting securities or 10prca of the value of the securities of the other REIT If the other REIT were to lose its REIT status during a taxable year in which our investment represented in excess of 10prca of the voting securities or 10prca of the value of the securities of the other REIT as of the close of a calendar quarter, we will lose our REIT status
If we fail to meet any such test at the end of any calendar quarter, we will cease to qualify as a REIT We may have to borrow funds or sell assets to meet our distribution requirements
Subject to some adjustments that are unique to REITs, a REIT generally must distribute 90prca of its taxable income
In addition, we may be required not to accrue as expenses for tax purposes some items which actually have been paid, including, for example, payments of principal on our debt, or some of our deductions might be disallowed by the Internal Revenue Service
As a result, we could have taxable income in excess of cash available for distribution
If this occurs, we may have to borrow funds or liquidate some of our assets in order to meet the distribution requirement applicable to a REIT 10 _________________________________________________________________ [61]Table of Contents We may be subject to other tax liabilities
Even if we qualify as a REIT, we may be subject to some federal, state and local taxes on our income and property that could reduce operating cash flow
Changes in tax laws may prevent us from qualifying as a REIT As we have previously described, we intend to qualify as a REIT for federal income tax purposes
However, this intended qualification is based on the tax laws that are currently in effect
We are unable to predict any future changes in the tax laws that would adversely affect our status as a REIT If there is a change in the tax laws that prevents us from qualifying as a REIT or that requires REITs generally to pay corporate level income taxes, we may not be able to make the same level of distributions to our stockholders