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Revisiting Relations between Stochastic Ageing and Dependence
A stochastic process model for resistance deterioration of aging
A kinetic theory for age-structured stochastic birth-death processes
Convergence Analysis of Semi-Implicit Euler Methods for Solving
Univariate and multivariate stochastic comparisons and ageing
Exponential stability of numerical solutions for a class of stochastic
Stochastic and ageing properties of coherent systems with
The positive numerical solution for stochastic age-dependent capital
Semi-copulas and Interpretations of Coincidences Between
Stochastic ordering properties for systems with dependent
Stochastic cell-cycle entry and cell-state-dependent fate
Stochastic Mortality Modelling: Key Drivers and Dependent
Testing the stochastic order and the IFR,DFR, NBU,NWU ageing
Some Recent Results on Stochastic Comparisons and Dependence
Multivariate Stochastic Orderings and Positive Dependence in
Age-dependent stochastic models for understanding population
The book fulfills the authors aim in providing a comprehensive treatment of both ageing and dependence concepts, with emphasis on reliability and survival analysis.
Performance and reliability of structures will deteriorate with time as a result of the effects of various loads and the environment. This paper aims to develop a time-dependent reliability model of deteriorating structures that considers both aging effects and random shocks.
This paper is a new submission of a previous manuscript entitled notch-dependent stochastic cell-cycle entry of injury-reactivated tectal radial glia. In this manuscript the authors investigate the cellular and molecular response to optic tectum injury in adult zebrafish.
Dependency is increasing with age and long-term dependence exists. Keywords: stochastic mortality, joint survival functions, copula func-tions, model selection acknowledgement 1 the authors wish to acknowledge the society of actuaries, through the courtesy of edward (jed) frees and emiliano valdez, for providing the data used in this paper.
In this paper, a taylor approximation scheme for a class of age-dependent stochastic delay population equations with mean-reverting ornstein-uhlenbeck (ou) process and poisson jumps is presented. In case that the coefficients of drift and diffusion are taylor approximations, we prove that the numerical solutions converge to the exact solutions.
Ageing and dependence are two important characteristics in reliability and survival analysis, and they affect significantly the decision people make with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas.
Jul 15, 2019 applying a model of aging cells that accounts for natural cell-to-cell asymmetry are frequently minimal and generally context-dependent.
Biological assets with stochastic size-dependent growth in a stochastic price dure and with the corresponding findings for age-dependent growth.
May 24, 2019 ageing for exchangeable lifetimes and to analyze mutual relations among stochastic dependence, univariate ageing, and bivariate ageing.
Dependence properties of order statistics when the observations are independent and follow the phr model. We first review some stochastic orders which will be used in the sequel. Let x and y be two nonnegative random variables with distribution functions f and g; survival functions f¯ and g¯; and density functions f and g, respectively.
The latter envisions the phenomenon of csc ageing as a result of a stochastic and therefore reversible cell autonomous process. However, csc aging could be a programmed cell cycle-dependent process, which affects all or most of the endogenous csc population.
Stochastic ageing and dependence for reliability by chin diew lai, 9780387297422, available at book depository with free delivery worldwide.
Discussed the existence and uniqueness for stochastic age-dependent population equation, when diffusion coefficient and respectively. Numerical analysis for stochastic age-dependent population equation has been studied by zhang and han.
Book review for: stochastic ageing and dependence for reliability, by chin-diew lai and min xie, new york: springer-verlag, 2006 isbn-10: 0-387-29742-1 and isbn.
Keywords residual lifetime inactivity time survival copula dependence signature vector reliability 1 introduction study on the stochastic and ageing.
Age-dependent population models are basic in population dynamics. The hu- man population as well as plant and animal populations are age-structured.
Stochastic ageing and dependence for reliability(chin-diew lai, min xie 2006).
We first review an approach that had been developed in the past years to introduce concepts of bivariate ageing for exchangeable lifetimes and to analyze mutual relations among stochastic dependence, univariate ageing, and bivariate ageing.
The book fulfills the authors aim in providing a comprehensive treatment of both ageing and dependence concepts, with emphasis on reliability and survival analysis. Overall, i recommend this book to all serious-minded researchers, practitioners, teachers, and graduate students who would like to have the most up-to-date information available on the subject of stochastic ageing and dependencies in reliability.
Density functions, we derive a hierarchy of kinetic equations for the stochastic evolution of an ageing population undergoing birth and death. We show that the fully stochastic age-dependent birth-death process precludes factorization of the corresponding probability densities, which then must be solved by using a bbgky-like hierarchy.
Stochastic ageing and dependence for reliability ageing and dependence are two important characteristics in reliability and survival analysis, and they affect significantly the decision people make with regard to maintenance, repair/replace-ment, price setting, warranties, medical studies, and other areas.
Also on dependence concepts and stochastic ageing, there is an excel-lent book by shaked and shanthikumar (1994).
(2010) semi-copulas and interpretations of coincidences between stochastic dependence and ageing.
Stochastic orderings are introduced for vectors of lifetimes based on hazard rates and cumulative hazard functions. Relations are established between those orderings and other ones such as the totally positive ordering of karlin and rinott (1980). Positive dependence notions in reliability theory are recast in terms of the new stochastic orderings.
Age-dependent stochastic delay population equations with mean-reverting ou process and poisson jumps are given.
Ageing and dependence are two important characteristics in reliability and survival analysis, and they affect significantly the decision people make with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. There are many papers published at different technical levels.
This paper proposes state-dependent stochastic models (sdsms) for modeling the impact of deterioration on the performance of engineering systems. Within the stochastic framework, the change of the system state variables due to different deterioration processes and their interaction is modeled explicitly.
Stochastic ageing and dependence for reliability ageing and dependence are two important characteristics in reliability and survival analysis, and they affect.
Jul 7, 2020 the impact of the new deterioration model on the time-dependent reliability of aging bridges is studied.
Mar 2, 2017 for age-dependent stochastic process models, the rul probability density function (pdf) can be calculated using a closed-form solution.
Introduction this paper is concerned with a two-hit model for the initiation of neo-plasia.
We analyze the stochastic demography and evolution of a density-dependent age- (or stage-) structured population in a fluctuating environment. Weighted by body mass) is assumed to act as the single variable of population size, n, exerting density dependence on age-specific vital rates through.
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