Meaning of gamma distribution | Babel Free

Definitions

Any of a family of two-parameter continuous probability distributions, of which the common exponential distribution and chi-square distribution are special cases.

Examples

“The gamma distribution is positively skewed and along with the Weibull, lognormal, and inverse Gaussian (IG) distributions is also available as a model⟳ in reliability and life-span studies.”

“1999 [1977, Wiley], Jean Dickinson Gibbons, Ingram Olkin, Milton Sobel, Selecting and Ordering Populations: A New Statistical Methodology, SIAM, Republished unabridged and corrected, page 328, The ranking and selection problems in this chapter apply⟳ to populations that follow⟳ the gamma distribution. The gamma distribution model⟳ is used widely in many fields of applications, particularly in engineering and the social and physical sciences.”

“The negative exponential distribution is a special case of the gamma distribution in which k#61;1. Another important special case of a gamma distribution with parameters k and #92;theta#61;2 is the χ² distribution G(k,2) with n#61;2k degrees of freedom.[…]Gamma distributions have⟳ an additivity property: the sum of two random variables following gamma distributions G(k#95;1,#92;theta) and G(k#95;2,#92;theta) is a random variable following a gamma distribution G(k#95;1#43;k#95;2,#92;theta) with parameters k#95;1#43;k#95;2 and #92;theta[…].”

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