Generalized order statistics: an exponential family in model parameters

DOI10.1080/02331888.2010.498046zbMath1241.62074OpenAlexW1992452598MaRDI QIDQ2892891

Udo Kamps, Stefan Bedbur, Eric Beutner

Publication date: 25 June 2012

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2010.498046

zbMATH Keywords

maximum likelihood estimationasymptotic efficiencyFisher information matrixsequential order statisticsuniformly minimum variance unbiased estimationregular exponential familyconditional proportional hazard ratessequentiel \(k\)-out-of-\(n\) system

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (21)

Inference in a model of successive failures with shape-adjusted hazard rates ⋮ Testing the validity of a link function assumption in repeated type-II censored general step-stress experiments ⋮ Two-sample nonparametric prediction intervals based on random number of generalized order statistics ⋮ Multivariate testing and model-checking for generalized order statistics with applications ⋮ Distances between models of generalized order statistics ⋮ Classification using sequential order statistics ⋮ Concomitants of \(m\)-generalized order statistics from generalized Farlie-Gumbel-Morgenstern distribution family ⋮ Hypotheses testing for generalized order statistics with simple order restrictions on model parameters under the alternative ⋮ Bayesian estimation and prediction with multiply type-II censored samples of sequential order statistics from one- and two-parameter exponential distributions ⋮ On the reversed hazard rate of sequential order statistics ⋮ Confidence regions in step-stress experiments with multiple samples under repeated type-II censoring ⋮ Homogeneity testing via weighted affinity in multiparameter exponential families ⋮ Meta-analysis of general step-stress experiments under repeated type-II censoring ⋮ UMPU tests based on sequential order statistics ⋮ Estimation in a Model of Sequential Order Statistics with Ordered Hazard Rates ⋮ Classification into Kullback-Leibler balls in exponential families ⋮ Two-sample Bayesian prediction for sequential order statistics from exponential distribution based on multiply Type-II censored samples ⋮ Confidence regions in models of ordered data ⋮ Optimal equivariant prediction regions based on multiply type-II censored generalized order statistics from exponential distributions ⋮ Link functions for parameters of sequential order statistics and curved exponential families ⋮ Estimation of common location parameter of several heterogeneous exponential populations based on generalized order statistics

Cites Work

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• Marginal distributions of sequential and generalized order statistics
• A concept of generalized order statistics
• On multivariate dispersion orderings based on the standard construction
• On distributions Of generalized order statistics
• Dependence structure of generalized order statistics
• Projection bounds on expectations of spacings of generalized order statistics from DFR and DFRA families
• Mathematical Statistics
• Linear Estimators and Predictors Based on Generalized Order Statistics from Generalized Pareto Distributions
• On Fisher's Bound for Asymptotic Variances

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