Stochastic monotonicity of the MLEs of parameters in exponential simple step-stress models under type-I and type-II censoring

DOI10.1007/s00184-009-0243-6zbMath1189.62160OpenAlexW2009876446MaRDI QIDQ976960

Narayanaswamy Balakrishnan, George Iliopoulos

Publication date: 16 June 2010

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-009-0243-6

zbMATH Keywords

exponential distributionmaximum likelihood estimationtype-II censoringtype-I censoringstep-stress modelsexact confidence intervalsmultivariate stochastic orderingtrinomial distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Point estimation (62F10) Censored data models (62N01) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (13)

Hybrid censoring: models, inferential results and applications ⋮ Multi-sample progressive Type-I censoring of exponentially distributed lifetimes ⋮ k‐step stage life testing ⋮ Joint records from two exponential populations and associated inference ⋮ 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 inference for progressively type-I censored exponential failure data ⋮ Progressive censoring with fixed censoring times ⋮ On exact inferential results for a simple step-stress model under a time constraint ⋮ Inference in step-stress models based on failure rates ⋮ A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests ⋮ Exact inference of a simple step-stress model with hybrid type-II stress changing time ⋮ Type-I hybrid censoring of multiple samples

Uses Software

• SPLIDA

Cites Work

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• Exact inference for a simple step-stress model from the exponential distribution under time constraint
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• Analysis of incomplete data in presence of competing risks.
• Exact likelihood inference based on type-I and type-II hybrid censored samples from the exponential distribution
• Exact inference for a simple step-stress model with type-I hybrid censored data from the exponential distribution
• Exact likelihood inference for the exponential distribution under generalized Type-I and Type-II hybrid censoring
• Exact confidence bounds for an exponential parameter under hybrid censoring

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