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Titlebook: Statistical Models and Methods for Biomedical and Technical Systems; Filia Vonta,Mikhail Nikulin,Catherine Huber-Carol Book 2008 Birkhäuse

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Multistate System Reliability Assessment by Using the Markov Reward Modelfrom perfect functioning up to complete failure. The general approach is suggested for computation of commonly used reliability measures. According to the approach, the general Markov reward model should be built, so that different reliability measures can be calculated by the corresponding reward m
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Sampling in Survival Analysis and Estimation with Unknown Selection Bias and Censoringserved only if its life-line .(σ, .) = {(σ + .),0 ≤ . ≤ .} intersects a general Borel set . in ℝ × ℝ.. Denoting by σ. and .. the birth time and lifetime for the observed individuals, we point out that the distribution function (d.f.) .. of the r.v. .. suffers from a selection bias in the sense that
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Testing the Acceleration Function in Lifetime Models this is done under the assumption of parametric and nonparametric baseline distribution. Furthermore, based on nonparametric estimators for regression functions, tests are proposed for checking whether a parametric acceleration function is appropriate to model the influence of the covariates. Resam
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Goodness-of-Fit Tests for Pareto Distributionmethods to test the hypothesis that the underlying data come from a Pareto distribution. The tests presented for both the type I and type II Pareto distributions are based on the regression test of Brain and Shapiro (1983) for the exponential distribution. Power comparisons of the tests are carried
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Extended Cox and Accelerated Models in Reliability, with General Censoring and Truncationeneral type, more complex than the usual simple case of right censoring, induced the most recent developments on these topics. In the case of clusters of items or families of patients implying a possible dependence between multiple failure times, shared frailty models or hierarchical dependency models are considered.
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Multistate System Reliability Assessment by Using the Markov Reward Model the approach, the general Markov reward model should be built, so that different reliability measures can be calculated by the corresponding reward matrix determination. A numerical example is presented in order to illustrate this approach.
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Testing the Acceleration Function in Lifetime Modelsn functions, tests are proposed for checking whether a parametric acceleration function is appropriate to model the influence of the covariates. Resampling procedures are discussed for the realization of these methods. Simulations complete the considerations.
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