Analysis and extension of some problems in Probability
Zheng Yu-ge
Abstract
Zheng Yu-ge
Abstract
Through discussing the concept of exponential distribution in probability,the definition of the generalized exponential distribution definition is given.The uniform distribution and the exponential distribution random variable linear function is also proved separately obeys the uniform distribution and the exponential distribution.In addition,the answers of two common questions in theory of Probability are analyzed.
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Through discussing the concept of exponential distribution in probability,the definition of the generalized exponential distribution definition is given.The uniform distribution and the exponential distribution random variable linear function is also proved separately obeys the uniform distribution and the exponential distribution.In addition,the answers of two common questions in theory of Probability are analyzed.
Key concepts: Natural exponential family, Exponentially modified Gaussian distribution, Exponential distribution, Mathematics, Extension (predicate logic), Gamma distribution, Probability integral transform, Exponential family