Title: Optimised Shrinkage Testimator of reliability function in a failure-time model

Authors: Z.A. Al-Hemyari; Jabar A. Al-Dolami

Addresses: Ministry of Higher Education, B.O. Box: 82 Ruwi, Postal code: 112, Sultanate of Oman ' Faculty of Education, Mathematics Department, Ibb University, IBB 70270, Yemen

Abstract: In this paper, we consider the exponential assumption of the distribution of failure, and we propose an optimised Shrinkage Testimator (ST) of reliability function (R(t)) using complete and censored data. The expressions for the bias, mean squared error and relative efficiency are derived and studied. Simulation, comparisons, and numerical results are reported.

Keywords: optimised shrinkage testimator; reliability function; exponential failure model; Bessel function; relative efficiency; failure distribution.

DOI: 10.1504/IJMOR.2012.049935

International Journal of Mathematics in Operational Research, 2012 Vol.4 No.6, pp.607 - 621

Available online: 19 Oct 2012 *

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