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The incomplete beta function, ... In Microsoft Excel, for example, the complete beta function can be computed with the GammaLn function ...
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1) in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution.
β, Beta, is the measure of asset sensitivity to a movement in the overall market; Beta is usually found via regression on historical data. Betas exceeding one signify more than average "riskiness" in the sense of the asset's contribution to overall portfolio risk; betas below one indicate a lower than average risk contribution.
Continue reading → The post How to Calculate the Beta of a Portfolio appeared first on SmartAsset Blog. Investors, whether beginner or seasoned professionals, all have a threshold for risk. Some ...
The beta-binomial is a one-dimensional version of the Dirichlet-multinomial distribution as the binomial and beta distributions are univariate versions of the multinomial and Dirichlet distributions respectively. The special case where α and β are integers is also known as the negative hypergeometric distribution.
In finance, the beta (β or market beta or beta coefficient) is a statistic that measures the expected increase or decrease of an individual stock price in proportion to movements of the stock market as a whole. Beta can be used to indicate the contribution of an individual asset to the market risk of a portfolio when it is
The term () represents the movement of the market modified by the stock's beta, while represents the unsystematic risk of the security due to firm-specific factors. Macroeconomic events, such as changes in interest rates or the cost of labor, causes the systematic risk that affects the returns of all stocks, and the firm-specific events are the ...
where Γ is the gamma function and I is the regularized incomplete beta function. Although there are other forms of the cumulative distribution function, the first form presented above is very easy to evaluate through recursive computing. [1] In statistical software R, the cumulative distribution function is implemented as pt.
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