Mathematics – Statistics Theory
Scientific paper
2002-02-26
Mathematics
Statistics Theory
20 pages, 2 tables, 1 figure
Scientific paper
This 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.
Allen Jeffrey
Saxena Sharad
Singh Housila P.
Singh Sarjinder
Smarandache Florentin
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