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Estimation of exponential scale parameter in failure censored samples by shrinkage towards an interval. (English) Zbl 1055.62109

Summary: This paper proposes a class of shrinkage estimators for the scale parameter \(\theta\) in failure censored samples from one-parameter exponential populations when some apriori or guessed interval containing the parameter \(\theta\) is available besides the sample information and analyses their properties. Comparisons with the usual unbiased estimator and minimum mean square error (MMSE) estimator have been made. Numerical computations in terms of percent relative efficiency and absolute relative bias indicate that certain of these estimators are preferable to the MMSE estimator in some guessed interval of the parameter space of \(\theta\).

MSC:

62N02 Estimation in survival analysis and censored data
62N05 Reliability and life testing
62J07 Ridge regression; shrinkage estimators (Lasso)
65C60 Computational problems in statistics (MSC2010)
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