On the comparison in hazard rate ordering of fail-safe systems
From MaRDI portal
Publication:2427153
DOI10.1016/j.jspi.2007.08.001zbMath1138.60025OpenAlexW2049846842MaRDI QIDQ2427153
Publication date: 8 May 2008
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jspi.2007.08.001
Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)
Related Items (42)
Power law approximations for radioactive decay chains ⋮ Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples ⋮ ON STOCHASTIC COMPARISONS OF ORDER STATISTICS FROM HETEROGENEOUS EXPONENTIAL SAMPLES ⋮ COMPARISONS ON LARGEST ORDER STATISTICS FROM HETEROGENEOUS GAMMA SAMPLES ⋮ Dispersion and variability orders of mixture exponential distributions and their sample spacings, and some associated characterizations ⋮ On the skewness of order statistics in multiple-outlier PHR models ⋮ STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS ⋮ Average inactivity time model, associated orderings and reliability properties ⋮ Stochastic comparisons of sample spacings in single- and multiple-outlier exponential models ⋮ Improved Ordering Results for Fail-Safe Systems with Exponential Components ⋮ Characterization of MRL order of fail-safe systems with heterogeneous exponential components ⋮ Necessary and sufficient conditions for stochastic orders between (n − r + 1)-out-of-n systems in proportional hazard (reversed hazard) rates model ⋮ MRL ordering of parallel systems with two heterogeneous components ⋮ On sample ranges from two sets of heterogenous random variables ⋮ Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ On extreme order statistics from heterogeneous Weibull variables ⋮ SOME NEW RESULTS ON THE LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER GAMMA MODELS ⋮ Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks ⋮ Error analysis of large-time approximations for decay chains ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ Dispersive ordering of fail-safe systems with heterogeneous exponential components ⋮ On the maxima of heterogeneous gamma variables with different shape and scale parameters ⋮ On maximum order statistics from heterogeneous geometric variables ⋮ On the Skewness of Order Statistics in Multiple-Outlier Models ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ Comparisons of largest order statistics from multiple-outlier gamma models ⋮ LIKELIHOOD RATIO AND HAZARD RATE ORDERINGS OF THE MAXIMA IN TWO MULTIPLE-OUTLIER GEOMETRIC SAMPLES ⋮ Modified proportional hazard rates and proportional reversed hazard rates models via Marshall-Olkin distribution and some stochastic comparisons ⋮ Stochastic Orderings and Ageing Properties of Residual Life Lengths of Live Components in (n-k+1)-Out-Of-n Systems ⋮ On hazard rate ordering of parallel systems with two independent components ⋮ ORDERING CONVOLUTIONS OF HETEROGENEOUS EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS REVISITED ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ Bounds for mixtures of order statistics from exponentials and applications ⋮ On stochastic comparisons of k-out-of-n systems with Weibull components ⋮ Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables ⋮ Stochastic comparisons of series, parallel and \(k\)-out-of-\(n\) systems with heterogeneous bathtub failure rate type components ⋮ Right Spread Order of the Second-Order Statistic from Heterogeneous Exponential Random Variables ⋮ ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS ⋮ Some characterization results for parallel systems with two heterogeneous exponential components ⋮ Some properties of hazard rate functions of systems with two components ⋮ Further results for parallel systems with two heterogeneous exponential components
Cites Work
- The reliability of k out of n systems
- Some new results on stochastic comparisons of spacings from heterogeneous exponential distributions
- Ordering properties of convolutions of exponential random variables
- The hazard rate and the reversed hazard rate orders, with applications to order statistics
- Hazard rate ordering of \(k\)-out-of-\(n\) systems
- Stochastic orders for spacings of heterogeneous exponential random variables
- Some new results on stochastic comparisons of parallel systems
- DEPENDENCE, DISPERSIVENESS, AND MULTIVARIATE HAZARD RATE ORDERING
- Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
- Hazard rate ordering of order statistics and systems
- Bivariate characterization of some stochastic order relations
- Applications of the hazard rate ordering in reliability and order statistics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the comparison in hazard rate ordering of fail-safe systems
