Estimation of the parameters of rayleigh distribution based on record values for censored data

Authors

  • A. Ahmed College of Statistical & Actuarial Sciences, University of the Punjab, Lahore, Pakistan
  • N. Feroze Department of Mathematics and Statistics, Allama Iqbal Open University, Islamabad, Pakistan
  • A. S. Akhter College of Statistical & Actuarial Sciences, University of the Punjab, Lahore, Pakistan

Keywords:

Record values, Type II censoring, Rayleigh distribution

Abstract

In this paper, we discuss the estimation of location and scale parameters of the Rayleigh distribution based on the Upper record values by the best linear unbiased estimator (BLUE) and an alternative linear estimate, proposed by Gupta (1952). Type II singly and doubly censored samples are used for estimation. Tables of coefficients for best linear estimator and alternative estimator of   are presented for various choices of censoring for n 8. Variances and covarinces of estimator of  for BLUE and for alternative estimator are also presented. The computational formula and procedure used are explained. The purpose of the paper is to compare the performance of the estimation procedures in terms of relative efficiencies. The findings of the study suggest that the BLUE method can be replaced by Gupta method especially in the large samples.

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Published

2012-10-30

How to Cite

Ahmed, A. ., Feroze, N. ., & S. Akhter, A. (2012). Estimation of the parameters of rayleigh distribution based on record values for censored data. Scientific Journal of Review, 1(4), 130-146. Retrieved from http://sjournals.com/index.php/sjr/article/view/675

Issue

Section

Mathematics