Bayesian Shrinkage Estimation of Reliability in the Exponential Distribution
Bayesian survival analysis based on the Rayleigh model.
In this paper, the Bayesian analysis of the survival data arising from a Rayleigh model is carried out under the assumption that the clinical study based on n patients is terminated at the dth death, for some preassigned d (0 < d ≤ n), resulting in the survival times t1 ≤ t2 ≤ ... ≤ td, and (n - d) survivors. For the prior knowledge about the Rayleigh parameter, the gamma density, the inverted gamma density, and the beta density of the second kind are respectively assumed, and for each of...
Bivariate gamma distribution as a life test model
The bivariate gamma distribution is taken as a life test model to analyse a series system with two dependent components and . First, the distribution of a function of and , that is, minimum , is obtained. Next, the reliability of the component system is evaluated and tabulated for various values of the parameters. Estimates of the parameters are also obtained by using Bayesian approach. Finally, a table of the mean and variance of minimum for various values of the parameters involved is...
Bounds for the mean square error of reliability estimation from gamma distribution in presence of an outlier observation.
Cálculo de la distribución del tiempo de vida de componentes mediante autopsia en sistemas binarios aditivos, serie-paralelo y paralelo-serie.
En este artículo se estudia el problema de determinar la función de distribución del tiempo de vida de las componentes de un sistema binario, a partir del conocimiento de las leyes que rigen el funcionamiento del sistema y del conjunto de componentes que causa su fallo (obtenida mediante autopsia del sistema en el momento de su deterioro).Se presentan los resultados de Meilijson (1981) y Nowik (1990) que proponen un sistema de ecuaciones implícito para obtener estas distribuciones. Sin embargo,...
Change Point Tests Based on U-Statistics with Applications in Reliability.
Characteristic Properties of Multivariate Survival Functions in Terms of Residual Life Distributions.
Characterization of the first operating period of a two-unit standby redundant system with three states of units
A two-unit cold-standby redundant system with one repair facility is considered. Each unit can be in three states: good (I), degraded (II), and failed (III). We suppose that only the following state-transitions af a unit are possible: . The paper is devoted to the problems which arise only provided that the units of the redundant system can be in more than two states (i.e. in operating and failed states). The following characteristics dealing with a single operating period of the system are studied...
Characterizations based on length-biased weighted measure of inaccuracy for truncated random variables
In survival studies and life testing, the data are generally truncated. Recently, authors have studied a weighted version of Kerridge inaccuracy measure for truncated distributions. In the present paper we consider weighted residual and weighted past inaccuracy measure and study various aspects of their bounds. Characterizations of several important continuous distributions are provided based on weighted residual (past) inaccuracy measure.
Comparison between explicit and approximate degradation data analysis for linear paths.
Comparison of order statistics in a random sequence to the same statistics with I.I.D. variables
The paper is motivated by the stochastic comparison of the reliability of non-repairable -out-of- systems. The lifetime of such a system with nonidentical components is compared with the lifetime of a system with identical components. Formally the problem is as follows. Let be positive independent random variables with common distribution . For and , let consider and . Remark that this is no more than a change of scale for each term. For let us define to be the th order statistics...
Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
The paper is motivated by the stochastic comparison of the reliability of non-repairable k-out-of-n systems. The lifetime of such a system with nonidentical components is compared with the lifetime of a system with identical components. Formally the problem is as follows. Let Ui,i = 1,...,n, be positive independent random variables with common distribution F. For λi > 0 and µ > 0, let consider Xi = Ui/λi and Yi = Ui/µ, i = 1,...,n. Remark that this is no more than a change of scale for each...
Compound Gamma Bivariate Distributions.
Confidence intervals based on corrected likelihood ratio tests for parallel systems with covariates.
Confidence intervals for reliability functions of an exponential distribution under random censorship
Contribution to Nonparametric Generalized Failure Rate Function Estimation
Determination of reliability bounds for structural systems using linear programming.
Die Schätzung des linearen Todesprozesses bei fehlerbehafteten Beobachtungen.
Dispersive functions and stochastic orders
Generalizations of the hazard functions are proposed and general hazard rate orders are introduced. Some stochastic orders are defined as general ones. A unified derivation of relations between the dispersive order and some other orders of distributions is presented
Estimación bayesiana de una función de fiabilidad con conocimiento a priori gamma expendido.
Se plantea el problema de estimar una función de fiabilidad en el contexto bayesiano no paramétrico, pero utilizando técnicas paramétricas de estimación en procesos estocásticos. Se define el proceso gamma extendido, cuyas trayectorias son tasas de azar crecientes cuando se eligen convenientemente los parámetros del proceso. Se obtienen estimadores basados en este proceso, se estudian sus propiedades asintóticas bayesianas, y se termina con un ejemplo de aplicación mediante simulación.