关于广义次指数分布乘积卷积的一个注记

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-09-20 DOI:10.15388/namc.2022.27.29405

D. Konstantinides, R. Leipus, J. Šiaulys

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引用次数: 4

摘要

本文研究了一类广义次指数分布在积卷积下的稳定性。假设第一次分布属于广义次指数分布，我们找到了使其乘积卷积也属于广义次指数分布的条件。研究了一类广义次指数正减尾分布的类似问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on product-convolution for generalized subexponential distributions

In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find conditions for the second distribution in order that their product-convolution belongs to the class of generalized subexponential distributions as well. The similar problem for the class of generalized subexponential positively decreasing-tailed distributions is considered.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.