Estimation of Weibull Shape Parameter by Shrinkage Towards an Interval Under Failure Censored Sampling

dc.creatorSingh, Housila P.
dc.creatorSaxena, Sharad
dc.creatorAllen, Jack
dc.creatorSingh, Sarjinder
dc.creatorSmarandache, Florentin
dc.date2002-02-26
dc.date.accessioned2026-07-07T08:06:01Z
dc.date.available2026-07-07T08:06:01Z
dc.descriptionThis paper is speculated to propose a class of shrinkage estimators for shape parameter beta in failure censored samples from two-parameter Weibull distribution when some 'apriori' or guessed interval containing the parameter beta is available in addition to sample information and analyses their properties. Some estimators are generated from the proposed class and compared with the minimum mean squared error (MMSE) estimator. Numerical computations in terms of percent relative efficiency and absolute relative bias indicate that certain of these estimators substantially improve the MMSE estimator in some guessed interval of the parameter space of beta, especially for censored samples with small sizes. Subsequently, a modified class of shrinkage estimators is proposed with its properties.
dc.description20 pages, 2 tables, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0202274
dc.identifierhttp://arxiv.org/abs/math/0202274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130466
dc.subjectStatistics Theory
dc.subject62E17
dc.titleEstimation of Weibull Shape Parameter by Shrinkage Towards an Interval Under Failure Censored Sampling
dc.typetext

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