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Inconsistency of the Maximum Likelihood Estimator of a Distribution Having Increasing Failure Rate Average
Abstract : Marshall and Proschan showed that the MLE for a life distribution with increasing failure rate is strongly consistent (Ann. Math. Statist., 1965, 36, 69-77). In this note the author shows…
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Order-preserving functions: applications to majorization and order statistics-Pacific Journal of Mat
TLDR
Criteria for determining whether or not a function preserves the vector ordering is presented, i.e. whether the related test of constant hazard rate versus IHR or IHRA is unbiased.
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An Optimal Sequential Accelerated Life Test
Abstract : Optimal sequential designs are investigated for experiments to test whether a device subjected to a standard stress has an expected lifetime exceeding a specified value. It is assumed that…
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A Large-Sample Test of the Hypothesis that one of two Random Variables is Stochastically Larger than the Other
T HIS paper presents a large-sample, non-parametric test using grouped data. It applies when x and y are random variables with continuous cumulative distribution functions (c.d.f.'s) F(x) and G(y). A…
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Dl-82-0898 DETERMINING AN APPROXIMATE CONSTANT FAILURE RATE FOR A SYSTEM WHOSE COMPONENTS HAVE CONSTANT FAILURE RATES by J. D. Esary
It Is often necessary to predict the reliability of a system when only the mean lifetimes of its components are known. Then it is usually assumed that each component has a constant failure rate…
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