Inadmissibility of two estimators of reliability in the exponential case
Intervalles de confiance pour les estimations des courbes de survie à partir du modèle de Cox
Joint weak hazard rate order under non-symmetric copulas
A weak version of the joint hazard rate order, useful to stochastically compare not independent random variables, has been recently defined and studied in [4]. In the present paper, further results on this order are proved and discussed. In particular, some statements dealing with the relationships between the jointweak hazard rate order and other stochastic orders are generalized to the case of non symmetric copulas, and its relations with some multivariate aging notions (studied in [2]) are presented....
Long-run availability of a priority system: a numerical approach.
Machine fault diagnosis and condition prognosis using classification and regression trees and neuro-fuzzy inference system
Maintenance policy under multiple unrevealed failure.
The unrevealed failures of a system are detected only by inspection. In this work, an inspection policy along with a maintenance procedure for multiunit systems with dependent times to failure is presented. The existence of an optimum policy is also discussed.
Maximum Likelihood Methods for Fitting the Burr Type XII Distribution to Multiply (Progressively) Censored Life Test Data.
Mean square error of the estimator of the conditional hazard function
This paper deals with a scalar response conditioned by a functional random variable. The main goal is to estimate the conditional hazard function. An asymptotic formula for the mean square error of this estimator is calculated considering as usual the bias and variance.
Model of circulation and exchange of banknotes
Modelling of Repairable Systems with Various Degrees of Repair.
Modified Weibull distribution.
New approximate solutions per unit of time for periodically checked systems with different lifetime distributions.
New generalization of compound Rayleigh distribution: Different estimation methods based on progressive type-II censoring schemes and applications
Fitting a suitable distribution to the data from a real experiment is a crucial topic in statistics. However, many of the existing distributions cannot account for the effect of environmental conditions on the components under test. Moreover, the components are usually heterogeneous, meaning that they do not share the same distribution. In this article, we aim to obtain a new generalization of the Compound Rayleigh distribution by using mixture models and incorporating the environmental conditions...
New models in durability tool-testing: pseudo-Weibull distribution
New results on the NBUFR and NBUE classes of life distributions
Some properties of the "new better than used in failure rate" (NBUFR) and the "new better than used in expectation" (NBUE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behaviors. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.
Nichtparametrisches Schätzen in Lebensdauer-Untersuchungen bei reduzierter Information.
Nonparametric estimation: the survival function.
The unknown survival function S(t) of a random variable T ≥ 0 is considered. First we study the properties of S(t) and then, we estimate it from a Bayesian point of view. We compare the estimator with the posterior mean and we finish giving Bayes rules for linear functions of S(t).
Note on the truncated Rayleigh variate
On adaptive replacement policies
On Bayesian estimation in an exponential distribution under random censorship
The paper gives some basic ideas of both the construction and investigation of the properties of the Bayesian estimates of certain parametric functions of the parent exponential distribution under the model of random censorship assuming the Koziol–Green model. Various prior distributions are investigated and the corresponding estimates are derived. The stress is put on the asymptotic properties of the estimates with the particular stress on the Bayesian risk. Small sample properties are studied...