A volume based approach to establish B-spline based expressions for density functions and its application to progressive hybrid censoring

DOI10.1016/j.jkss.2019.04.002zbMath1428.62105OpenAlexW2946392055MaRDI QIDQ2325314

Erhard Cramer, Julian Górny

Publication date: 25 September 2019

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2019.04.002

zbMATH Keywords

exponential distributionmaximum likelihood estimationsimplexB-splineprogressive censoringhybrid censoringvolume approach

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Point estimation (62F10) Censored data models (62N01) Reliability and life testing (62N05)

Related Items (3)

An exact test for exponentiality against renewal increasing mean residual life class ⋮ On exact inferential results for a simple step-stress model under a time constraint ⋮ Type-I hybrid censoring of multiple samples

Cites Work

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• The art of progressive censoring. Applications to reliability and quality
• Volume of slices and sections of the simplex in closed form
• Modularization of hybrid censoring schemes and its application to unified progressive hybrid censoring
• The volume cut off a simplex by a half-space
• The volume of simplices clipped by a half space
• Exact likelihood inference for an exponential parameter under generalized progressive hybrid censoring scheme
• Exact likelihood inference for exponential distributions under generalized progressive hybrid censoring schemes
• Exact likelihood inference based on type-I and type-II hybrid censored samples from the exponential distribution
• From B-spline representations to gamma representations in hybrid censoring
• Type-I censored sequential \(k\)-out-of-\(n\) systems
• Hybrid censoring: models, inferential results and applications
• On some exact distributional results based on Type-I progressively hybrid censored data from exponential distributions
• Topology of random linkages
• Exact likelihood inference for the two-parameter exponential distribution under type-II progressively hybrid censoring
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• The multidimensional content of the frustum of the simplex
• On calculating with B-splines
• Content of the frustum of a simplex
• Exact likelihood inference of the exponential parameter under generalized type II progressive hybrid censoring
• Properties of the Vacancy Statistic in the Discrete Circle Covering Problem
• Exact likelihood inference based on an unified hybrid censored sample from the exponential distribution
• The Computation of all the Derivatives of a B-spline Basis
• Order Statistics
• LINEAR FUNCTIONS OF UNIFORM ORDER STATISTICS AND B-SPLINES
• Exact likelihood inference for the exponential distribution under generalized Type-I and Type-II hybrid censoring
• On progressive hybrid censored exponential distribution
• A very flexible hybrid censoring scheme and its Fisher information
• Type-I hybrid censoring of uniformly distributed lifetimes
• On the exact distribution of the MLEs based on Type-II progressively hybrid censored data from exponential distributions
• Exact confidence bounds for an exponential parameter under hybrid censoring
• A practical guide to splines.

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