文章基本信息

标题：Matrix-exponential distributions: Closure properties
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作者：Juan Eloy Ruiz-Castro
期刊名称：International Journal of Advanced Statistics and Probability
电子版ISSN：2307-9045
出版年度：2013
卷号：1
期号：2
页码：44-52
DOI：10.14419/ijasp.v1i2.891
出版社：Journal of Advanced Computer Science & Technology
摘要：Analysing the properties of a probability distribution is a question of general interest. In this paper we describe the properties of the matrix-exponential class of distributions, developing some properties for the discrete case and proving the closure properties, which for the case of phase-type distributions are extended to the matrix-exponential case, this not being an immediate consequence. Given the structure of this class of distributions, we were able to achieve the results in both matrix and algorithmic form. These results can be used in stochastic modelling, and in the latter case, the model can be analysed in matrix and algorithmic form.