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Estimation in K-Stage Step-Stress Partially Accelerated Life Tests for Generalized Pareto Distribution with Progressive Type-I Censoring |
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PP: 299-305 |
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doi:10.18576/amis/150307
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Author(s) |
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Rashad M. EL-Sagheer,
Moaiad A. A. Khder,
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Abstract |
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This article discusses k-stage step-stress
partially accelerated life test under Type-I progressive
interval censoring with equal inspection intervals of length. The maximum
likelihood and parametric bootstrap methods are used to obtain the
estimators of the model parameters. Approximate confidence intervals for the
unknown parameters are constructed based on the asymptotic variances when
the lifetime of a testing unit are assumed to be generalized Pareto
distribution. The methods for obtaining the optimal are investigated using
the variance-optimality and determinant-optimality criteria. Monte Carlo
simulation studies are addressed to illustrate the proposed criteria.
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