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Mathematical and Statistical Characterizations of Generalized Hyperexponential Distribution Functions

机译：广义超指数分布函数的数学和统计特征

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摘要

This paper examines in detail the class of generalized hyperexponential (GH) probability distribution functions. The family is compared to and contrasted with similar popular classes of distributions used in stochastic modeling. Each of these families arises from a desire to preserve the computationally attractive feature of memorylessness possessed by the exponential probability distribution while extending the representations to a broader class in order to approximate an arbitrary probability distribution function. Thus, the simple structure and attractive properties of the GH probability distribution functions are presented with a view toward facilitating the mathematical operations which frequently occur in practice. (Author)

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作者
Botta, R. F.; Harris, C. M.; Marchal, W. G.;
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年度 1986
页码 p.1-46
总页数 46
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Exponential functions; Probability distribution functions; Operation; Mathematics; Mathematical models; Stochastic processes;

机译：指数函数;概率分布函数;运算;数学;数学模型;随机过程;

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2. Characterization of continuous distributions conditioned on a pair of non-adjacent generalized order statistics using Meijer's G function [J] . M. J. S. Khan, M. A. R. Khan, N. Wahid Applied mathematical sciences . 2017,第13a16期

机译：使用Meijer G函数对基于一对不相邻的广义阶统计量的连续分布进行刻画
3. Characterization of continuous distributions conditioned on a pair of nonadjacent generalized order statistics using Meijer's G-function [J] . Khan M.J.S., Khan A.H., Khan M.I. Journal of applied statistical science . 2011,第2期

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4. Evaluation of Statistic Probability Distribution Functions: II. Chi-Squared Probability Function and the Inverse Functions of z, t, F, and Chi-Squared Distributions [C] . Ruming Li, Manjit S. Kang, Guixue Wang International Conference on Computational Science and Computational Intelligence . 2016

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5. Statistical Inference on Dual Generalized Order Statistics for Burr Type III Distribution. [D] . Kim, Woosuk. 2014

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6. Symmetric hyperbolic systems in algebras of generalized functions and distributional limits [O] . Günther Hörmann, Christian Spreitzer -1

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Mathematical and Statistical Characterizations of Generalized Hyperexponential Distribution Functions

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