A general threshold stress hybrid hazard model for lifetime data

Tojeiro, Cynthia A. V.; Louzada, Francisco

doi:10.1007/s00362-011-0386-1

Cited by 4 publications

(1 citation statement)

References 28 publications

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“…Introduced by Barlow et al [3], the function ( ) has been used in various contexts such as the estimation of distribution function under left censoring [1], defining a new stochastic order [4], characterization of lifetime distributions [5][6][7], studying ageing behavior [8,9], evolving new repair and maintenance strategies [10,11], the mixed proportional hazards model [12], and stress hybrid hazards model [13].…”

Section: Introductionmentioning

confidence: 99%

Parametric Regression Models Using Reversed Hazard Rates

Variyath

Sankaran

2014

Journal of Probability and Statistics

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Proportional hazard regression models are widely used in survival analysis to understand and exploit the relationship between survival time and covariates. For left censored survival times, reversed hazard rate functions are more appropriate. In this paper, we develop a parametric proportional hazard rates model using an inverted Weibull distribution. The estimation and construction of confidence intervals for the parameters are discussed. We assess the performance of the proposed procedure based on a large number of Monte Carlo simulations. We illustrate the proposed method using a real case example.

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Section: Introductionmentioning

confidence: 99%

Parametric Regression Models Using Reversed Hazard Rates

Variyath

Sankaran

2014

Journal of Probability and Statistics

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Estimation, prediction and interpretation of NGG random effects models: an application to Kevlar fibre failure times

2013

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AperTO -Archivio Istituzionale Open Access dell'Università di TorinoEstimation, prediction and interpretation of NGG random effects models: An application to Kevlar fibre failure times / Argiento, R.; Pievatolo, A.. -55(2014), pp. 805-826. Original Citation:Estimation, prediction and interpretation of NGG random effects models: An application to Kevlar fibre failure times Compared to a previous parametric Bayesian analysis, we obtain narrower credibility intervals and a better fit to the data. We also fit a similar semiparametric model, which can be seen a a special case of ours, where the error is a scale mixture of Weibull densities, mixed by a Dirichlet process, whereas the shape parameter has a parametric prior. The adequacy of the two semiparametric models is comparable, but the more general model provides a different evaluation of the posterior variance of the left tail of the lifetime distribution, which is an effect of assuming a nonparametric prior on both parameters of the Weibull density.

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