On the method of pivoting the CDF for exact confidence intervals with illustration for exponential mean under life-test with time constraints

DOI10.1016/j.spl.2014.02.022zbMath1288.62046arXiv1402.2094OpenAlexW2072493412WikidataQ59180041 ScholiaQ59180041MaRDI QIDQ2453912

Erhard Cramer, George Iliopoulos, Narayanaswamy Balakrishnan

Publication date: 11 June 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2094

zbMATH Keywords

exponential distributionprogressive type-I censoringconventional and hybrid type-I censoringgeneralized hybrid type-II censoring

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Censored data models (62N01) Reliability and life testing (62N05)

Related Items (18)

On generalized progressive hybrid censoring in presence of competing risks ⋮ Multi-sample progressive Type-I censoring of exponentially distributed lifetimes ⋮ Analysis of progressive Type‐II censoring in presence of competing risk data under step stress modeling ⋮ k‐step stage life testing ⋮ Inference for type-I and type-II hybrid censored minimal repair and record data ⋮ Exact inference for exponential distribution with multiply Type-I censored data ⋮ Stochastic monotonicity of MLEs of the mean for exponentially distributed lifetimes under hybrid censoring ⋮ The step-stress tampered failure rate model under interval monitoring ⋮ Exact likelihood inference for exponential distributions under generalized progressive hybrid censoring schemes ⋮ Progressive censoring with fixed censoring times ⋮ On exact inferential results for a simple step-stress model under a time constraint ⋮ Exact likelihood inference for the two-parameter exponential distribution under type-II progressively hybrid censoring ⋮ Inference in step-stress models based on failure rates ⋮ Type-I censored sequential \(k\)-out-of-\(n\) systems ⋮ On exact confidence intervals in a competing risks model with generalized hybrid type-I censored exponential data ⋮ Inference on proportional hazard rate model parameter under Type-I progressively hybrid censoring scheme ⋮ Type-I hybrid censoring of multiple samples ⋮ Type-I hybrid censoring of uniformly distributed lifetimes

Cites Work

• Exact inference for progressively type-I censored exponential failure data
• Stochastic monotonicity of the MLE of exponential mean under different censoring schemes
• Stochastic order and MLE of the mean of the exponential distribution
• Exact likelihood inference based on type-I and type-II hybrid censored samples from the exponential distribution
• Hybrid censoring: models, inferential results and applications
• On some exact distributional results based on Type-I progressively hybrid censored data from exponential distributions
• Progressive censoring methodology: an appraisal (with comments and rejoinder)
• Exact likelihood inference for the exponential distribution under generalized Type-I and Type-II hybrid censoring
• Combinatorial Methods in Discrete Distributions
• A First Course in Order Statistics
• The Sampling Distribution of an Estimate Arising in Life Testing
• APPROXIMATE CONFIDENCE INTERVALS
• Truncated Life Tests in the Exponential Case
• Exact confidence bounds for an exponential parameter under hybrid censoring

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