Maximum likelihood estimation of the parameters of a multiple step-stress model from the Birnbaum-Saunders distribution under time-constraint: A comparative study

DOI10.1080/03610918.2017.1414252OpenAlexW2780498666MaRDI QIDQ5085948

Farouq Mohammad A. Alam, Narayanaswamy Balakrishnan

Publication date: 30 June 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2017.1414252

zbMATH Keywords

optimizationEM algorithmpoint estimationBirnbaum-Saunders distributioncumulative exposure modelMonte Carlo EM algorithmscoring algorithmstep-stress accelerated life testingtype-i censoring

Mathematics Subject Classification ID

Point estimation (62F10) Order statistics; empirical distribution functions (62G30) Newton-type methods (49M15) Optimization problems in thermodynamics and heat transfer (80M50) Reliability and life testing (62N05)

Related Items (2)

An alternative for Laplace Birnbaum-Saunders distribution ⋮ Order restricted classical and Bayesian inference of a multiple step-stress model from two-parameter Rayleigh distribution under Type I censoring

Uses Software

• minpack.lm
• nleqslv
• SPLIDA

Cites Work

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• Exact inference for a simple step-stress model from the exponential distribution under time constraint
• Point and interval estimation for the two-parameter Birnbaum-Saunders distribution based on type-II censored samples
• Exact inference for a simple step-stress model with type-II hybrid censored data from the exponential distribution
• Conditional independence of blocked ordered data
• Exact inference for a simple step-stress model with type-I hybrid censored data from the exponential distribution
• Accelerated Life Models
• On the existence and uniqueness of the maximum likelihood estimates of the parameters of Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored samples
• A tampered failure rate model for step-stress accelerated life test
• The EM Algorithm and Extensions, 2E
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Bayesian estimation and optimal designs in partially accelerated life testing
• Accelerated Life Testing - Step-Stress Models and Data Analyses
• Multiple step-stress accelerated life test: the tampered failure rate model
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Weibull lagged effect step-stress model with competing risks
• A method for the solution of certain non-linear problems in least squares

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