On age composition of dynamic heterogeneous populations

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Stochastic Models Pub Date : 2023-10-19 DOI:10.1080/15326349.2023.2263538

Ji Hwan Cha, Maxim Finkelstein

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引用次数: 0

Abstract

Abstract.Populations of items continuously manufactured and incepted into operation are characterized by the corresponding distribution of a random age at each instant of chronological time. In this study, we consider heterogeneous populations with lifetime distributions indexed by a frailty parameter. Two approaches to defining the age composition for the described populations are described and the corresponding stochastic comparisons are considered.Keywords: Age compositionfrailtyheterogeneous populationsproduction ratestochastic comparisons2010 Mathematics Subject Classification:: 60H3 AcknowledgmentsThe authors greatly thank the reviewers for their helpful comments and advice, which have improved the presentation of this paper.Disclosure statementNo potential conflict of interest was reported by the authorsAdditional informationFundingThe work of the first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Number: 2019R1A6A1A11051177). The work of the first author was also supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2023R1A2C1003238).

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动态异质种群的年龄构成

摘要连续生产和投入使用的物品种群的特征是在按时间顺序的每个瞬间随机年龄的相应分布。在这项研究中，我们考虑异质种群，其寿命分布由脆弱参数索引。描述了定义所描述人口年龄构成的两种方法，并考虑了相应的随机比较。关键词:年龄构成;衰弱;异质性人群;生产率;随机比较;2010数学学科分类::60H3致谢作者非常感谢审稿人的有益意见和建议，使本文的表达更加完善。披露声明作者未报告潜在利益冲突补充信息资金第一作者的工作由教育部资助的韩国国家研究基金会(NRF)基础科学研究计划(资助号:2019R1A6A1A11051177)资助。第一作者的工作也得到了韩国政府(MSIP)资助的韩国国家研究基金会(NRF)资助(No. 2023R1A2C1003238)。

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来源期刊

Stochastic Models 数学-统计学与概率论

CiteScore

1.30

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Stochastic Models publishes papers discussing the theory and applications of probability as they arise in the modeling of phenomena in the natural sciences, social sciences and technology. It presents novel contributions to mathematical theory, using structural, analytical, algorithmic or experimental approaches. In an interdisciplinary context, it discusses practical applications of stochastic models to diverse areas such as biology, computer science, telecommunications modeling, inventories and dams, reliability, storage, queueing theory, mathematical finance and operations research.