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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.
In ecology, alpha diversity (α-diversity) is the mean species diversity in a site at a local scale. The term was introduced by R. H. Whittaker [ 1 ] [ 2 ] together with the terms beta diversity (β-diversity) and gamma diversity (γ-diversity).
Gamma diversity and alpha diversity can be calculated directly from species inventory data. [2] [13] The simplest of Whittaker's original definitions of beta diversity is β = γ/α Here gamma diversity is the total species diversity of a landscape and alpha diversity is the mean species diversity per site.
In Bayesian statistics, the gamma distribution is widely used as a conjugate prior. It is the conjugate prior for the precision (i.e. inverse of the variance) of a normal distribution. It is also the conjugate prior for the exponential distribution.
Alpha male savanna baboons have high levels of testosterone and stress; over a long period of time, this can lead to decreased fitness. The lowest-ranking males also had high stress levels, suggesting that it is the beta males that gain the most fitness, avoiding stress but receiving some of the benefits of moderate rank. [ 20 ]
Biostatistics (also known as biometry) is a branch of statistics that applies statistical methods to a wide range of topics in biology. It encompasses the design of biological experiments , the collection and analysis of data from those experiments and the interpretation of the results.
You can’t earn alpha by investing in a benchmark index fund such as an S&P 500 index fund, which is the definition of beta. Bottom line. While alpha and beta might sound like complex and ...
Biotic homogenization is the process by which two or more spatially distributed ecological communities become increasingly similar over time. This process may be genetic, taxonomic, or functional, and it leads to a loss of beta (β) diversity. [1]