gamma distribution

英語

名詞

gamma distribution (複數 gamma distributions)

1. (機率論，統計學) 伽瑪分佈
   • 1988, A. Clifford Cohen, Betty Jones Whitten, Parameter Estimation in Reliability and Life Span Models, Marcel Dekker，第 93 頁:

     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.

     （請為本引文添加中文翻譯）

   • 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.

     本章中的排序和選擇問題適用於服從伽馬分佈的群體。伽馬分佈模型廣泛應用於許多實用領域，特別是在工程、社會和物理科學領域。

   • 2005, M. T. Todinov, Reliability and Risk Models: Setting Reliability Requirements, Wiley，第 36 頁:

     The negative exponential distribution is a special case of the gamma distribution in which $k=1$. Another important special case of a gamma distribution with parameters $k$ and $\theta =2$ is the χ² distribution $G(k,2)$ with $n=2k$ degrees of freedom. […] Gamma distributions have an additivity property: the sum of two random variables following gamma distributions $G(k_{1},\theta )$ and $G(k_{2},\theta )$ is a random variable following a gamma distribution $G(k_{1}+k_{2},\theta )$ with parameters $k_{1}+k_{2}$ and $\theta$ […] .

     （請為本引文添加中文翻譯）