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RESIDENCE TIME MOMENTS OF STOCHASTIC COMPARTMENTAL MODELS WITH AGE-DEPENDENT AND TIME-DEPENDENT RATES (MARKOV PROCESS, MATHEMATICAL BIOLOGY).

机译：具有年龄和时间依赖速率的随机区间模型的驻留时间矩（马尔可夫过程，数学生物学）。

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摘要

The residence time moments and cross moments are derived for the general stochastic compartment model with constant transition rates. These moments are obtained for the n-compartment, irreversible catenary system with transition rates that are general functions of time. The two-compartment, reversible system with time-dependent rates is also considered; however, a closed form solution for the moments is derived only for particular functions of time. The residence time moments and cross moments for stochastic compartmental systems with age-dependent transition rates are found by relating survivorship theory to the rates. Necessary characteristic functions for obtaining these moments are derived for the n-compartment, irreversible catenary system and the two-compartment, reversible system. The procedure for the general reversible system is outlined.

机译：对于具有恒定过渡速率的一般随机隔室模型，得出了停留时间矩和交叉矩。这些力矩是针对n室不可逆的悬链线系统而获得的，其过渡速率是时间的一般函数。还考虑了两室，可逆的系统，该系统具有随时间变化的速率。但是，仅针对特定的时间函数导出矩的闭式解。通过将生存理论与速率相关，可以找到具有随年龄变化的过渡速率的随机隔室系统的停留时间和交叉时间。对于n隔室不可逆的悬链系统和两室可逆系统，导出了获得这些力矩的必要特征函数。概述了一般可逆系统的过程。

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作者
OLSON, DAVID RAY.;
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作者单位

Texas A&M University.;

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授予单位 Texas A&M University.;
学科 Statistics.
学位 Ph.D.
年度 1984
页码 110 p.
总页数 110
原文格式 PDF
正文语种 eng
中图分类统计学;
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8. On the Distribution of Some Stochastic Compartmental Models Having Time-Dependent Transition Probabilities,with Applications to Reliability. [R] . epperson,jon ohman 1976

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RESIDENCE TIME MOMENTS OF STOCHASTIC COMPARTMENTAL MODELS WITH AGE-DEPENDENT AND TIME-DEPENDENT RATES (MARKOV PROCESS, MATHEMATICAL BIOLOGY).

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