Inference in a model of successive failures with shape-adjusted hazard rates

DOI10.1007/s10463-015-0508-yzbMath1432.62342OpenAlexW2025156017MaRDI QIDQ287533

Marco Burkschat, Udo Kamps, Stefan Bedbur

Publication date: 20 May 2016

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-015-0508-y

zbMATH Keywords

distance measuremaximum likelihood estimationconfidence regionorder restricted inferencelink functionbathtub shapeload sharing systemproportional hazard ratesequential order statistic

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Reliability and life testing (62N05)

Related Items (3)

Stage life testing with random stage changing times ⋮ Inference from multiple samples of Weibull sequential order statistics ⋮ Link functions for parameters of sequential order statistics and curved exponential families

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distances between models of generalized order statistics
• A sequential order statistics approach to step-stress testing
• A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests
• Order restricted inference for sequential \(k\)-out-of-\(n\) systems
• UMPU tests based on sequential order statistics
• Sequential order statistics with an order statistics prior
• Sequential order statistics and \(k\)-out-of-\(n\) systems with sequentially adjusted failure rates
• A note on stochastic comparisons of generalized order statistics
• A concept of generalized order statistics
• Sequential order statistics: ageing and stochastic orderings
• A family of distributions to model load sharing systems
• Confidence regions in models of ordered data
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• A meta-analysis approach for step-stress experiments
• Order restricted statistical inference for scale parameters based on sequential order statistics
• On the reversed hazard rate of sequential order statistics
• Accelerated Life Models
• AGING PROPERTIES OF SEQUENTIAL ORDER STATISTICS
• Generalized order statistics: an exponential family in model parameters
• MULTIVARIATE STOCHASTIC COMPARISONS OF SEQUENTIAL ORDER STATISTICS
• UNIVARIATE AND MULTIVARIATE LIKELIHOOD RATIO ORDERING OF GENERALIZED ORDER STATISTICS AND ASSOCIATED CONDITIONAL VARIABLES
• A Reliability Distribution with Increasing, Decreasing, Constant and Bathtub-Shaped Failure Rates
• Analytical hazard representations for use in reliability, mortality, and simulation studies
• Some results on the relative ageing of two life distributions
• A Generalization of the Weibull Distribution with Application to the Analysis of Survival Data
• STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS
• Relative Aging of Distributions
• Coherent systems based on sequential order statistics
• Testing Statistical Hypotheses
• Advances in reliability
• Estimation with sequential order statistics from exponential distributions

This page was built for publication: Inference in a model of successive failures with shape-adjusted hazard rates