Multivariate testing and model-checking for generalized order statistics with applications

DOI10.1080/02331888.2013.841696zbMath1304.62040OpenAlexW2007883165MaRDI QIDQ2934859

Stefan Bedbur, Eric Beutner, Udo Kamps

Publication date: 22 December 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2013.841696

zbMATH Keywords

order statisticrecord value\(k\)-out-of-\(n\) systemsequential order statisticconditional proportional hazard ratePfeifer record value

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Order statistics; empirical distribution functions (62G30)

Related Items

Testing the validity of a link function assumption in repeated type-II censored general step-stress experiments ⋮ Classification using sequential order statistics ⋮ Hypotheses testing for generalized order statistics with simple order restrictions on model parameters under the alternative ⋮ CBM for testing multiple hypotheses with directional alternatives in sequential experiments ⋮ Confidence regions in step-stress experiments with multiple samples under repeated type-II censoring ⋮ Inference from multiple samples of Weibull sequential order statistics ⋮ Estimation in a Model of Sequential Order Statistics with Ordered Hazard Rates ⋮ Confidence regions in models of ordered data ⋮ Optimal equivariant prediction regions based on multiply type-II censored generalized order statistics from exponential distributions

Cites Work

• Distances between models of generalized order statistics
• Distributions of exact tests in the exponential family
• 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
• Multivariate dependence of spacings of generalized order statistics
• Nonparametric inference for sequential \(k\)-out-of-\(n\) systems
• Nonparametric model checking for \(k\)-out-of-\(n\) systems
• Intermediate efficiency, theory and examples
• Sequential order statistics and \(k\)-out-of-\(n\) systems with sequentially adjusted failure rates
• Marginal distributions of sequential and generalized order statistics
• A concept of generalized order statistics
• Sequential order statistics: ageing and stochastic orderings
• Some new results on multivariate dispersive ordering of generalized order statistics
• Stochastic comparisons and properties of conditional generalized order statistics
• Order restricted statistical inference for scale parameters based on sequential order statistics
• Generalized order statistics: an exponential family in model parameters
• Approximation Theorems of Mathematical Statistics
• Marginal Distributions of the Counting Process Associated with Generalized Order Statistics
• Dependence structure of generalized order statistics
• Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values
• UNIVARIATE AND MULTIVARIATE LIKELIHOOD RATIO ORDERING OF GENERALIZED ORDER STATISTICS AND ASSOCIATED CONDITIONAL VARIABLES
• Order Statistics
• STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS
• STOCHASTIC ORDERINGS BETWEEN SPACINGS OF GENERALIZED ORDER STATISTICS
• Coherent systems based on sequential order statistics
• ORDERING CONDITIONAL DISTRIBUTIONS OF GENERALIZED ORDER STATISTICS
• Linear Statistical Inference and its Applications
• TESTS OF HYPOTHESES CONCERNING LOCATION AND SCALE PARAMETERS