Accelerated life models when the stress is not constant
Alternative parametric estimation in the exponential case under random censorship
An application of nonprarametric Cox regression model in reliability analysis: a case study
The contribution deals with an application of the nonparametric version of Cox regression model to the analysis and modeling of the failure rate of technical devices. The objective is to recall the method of statistical analysis of such a model, to adapt it to the real–case study, and in such a way to demonstrate the flexibility of the Cox model. The goodness-of-fit of the model is tested, too, with the aid of the graphical test procedure based on generalized residuals.
An Invariance Principle for Progressively Truncated Likelihood Ratio Statistics.
Análisis bayesiano de supervivencia basado en el modelo de Rayleigh: addendum.
In the printed version of the paper Bayesian survival analysis based on the Rayleigh model (Trabajos de Estadística Vol. 5, no. 1, 1990), figures num. 1, 2 and 3 mentioned on page 91 were not printed with the paper. That may create confusion and problems for the readers in understanding the conclusions, as in the absence of figures the paper is incomplete. For this reason we publish the figures in this issue.
Analysis of a two-unit standby redundant system with three states of units
A cold-standby redundant system with two identical units and one repair facility is considered. Units can be in three states> good (I), degraded (II), and failed (III). We suppose that only the following state-transitions of a unit are possible: . The repair of a unit of the type can be interpreted as a preventive maintenance. Its realization depends on the states of both units. Several characteristics of the system (probabilities, distribution functions or their Laplace-Stieltjes transforms...
Apollo 13 Risk Assessment Revisited
Fault tree methodology is the most widespread risk assessment tool by which one is able to predict - in principle - the outcome of an event whenever it is reduced to simpler ones by the logic operations conjunction and disjunction according to the basics of Boolean algebra. The object of this work is to present an algorithm by which, using the corresponding computer code, one is able to predict - in practice - the outcome of an event whenever its fault tree is given in the usual form.
Application des lois non paramétriques dans les systèmes d’attente et la théorie de renouvellement
Les distributions non paramétriques de survie trouvent, de plus en plus, des applications dans des domaines très variés, à savoir : théorie de fiabilité et analyse de survie, files d’attente, maintenance, gestion de stock, théorie de l’économie, L’objet de ce travail est d’utiliser les bornes inférieures et supérieures (en terme de la moyenne) des fonctions de fiabilité appartenant aux classes de distribution de type et , présentées par Sengupta (1994), pour l’évaluation de certaines caractéristiques....
Application des lois non paramétriques dans les systèmes d'attente et la théorie de renouvellement
Les distributions non paramétriques de survie trouvent, de plus en plus, des applications dans des domaines très variés, à savoir: théorie de fiabilité et analyse de survie, files d'attente, maintenance, gestion de stock, théorie de l'économie, ... L'objet de ce travail est d'utiliser les bornes inférieures et supérieures (en terme de la moyenne) des fonctions de fiabilité appartenant aux classes de distribution de type IFR, DFR, NBU et NWU, présentées par Sengupta (1994), pour l'évaluation de...
Approche non paramétrique en théorie de la fiabilité : revue bibliographique
Approximation of reliability for a large system with non-markovian repair-times
Approximation of Reliability for a large system with non-markovian repair-times
Consider a system of many components with constant failure rate and general repair rate. When all components are reliable and easily reparable, the reliability of the system can be evaluated from the probability q of failure before restoration. In [14], authors give an asymptotic approximation by monotone sequences. In the same framework, we propose, here, a bounding for q and apply it in the ageing property case.
Asymptotic expansions of functions of statistics