International Journal of Scientific and Research Publications

IJSRP, Volume 7, Issue 8, August 2017 Edition [ISSN 2250-3153]


Best Linear Unbiased Estimation of Location and Scale Parameters in Generalized Exponential Distribution under Type-II Censoring
      A. Vasudeva Rao, S. Bhanu Prakash and Sd. Jilani
Abstract: For standard generalized exponential distribution (GED)Raqab and Ahsanullah [1] have derived the exact forms of means, variances and covariancesof order statistics. Using these expressions they have obtained the necessary coefficients for computing the BLUEs of location and scale parameters of GE distributionfor known shape parameter for complete samples of size up to 10. In this paper, using the formulae given byRaqab and Ahsanullah [1], we have developed R-program for computingthe means of order statistics for samples of size up to 30; and the variances andcovariances of order statistics for samples of size up to 20 for standard GE distribution for Using these means, variances and covariances, we have extended the computation of the BLUEs of the location and scale parameters of GEDfor both complete sample and Type-II censoredsamples of size up to n=20. We have tabulated theBLUE coefficients for all complete samples of size n=11(1)20 for α=1.5(0.5)2.0(1.0)5.0. Further, we have developed R-code for computing the coefficients of the BLUEs of location and scale parameters based on any type II censored sample (including a complete sample) of size up to n=20 and for any choice of shape parameter α in the interval [1.5, 6.0]. Finally, we demonstratethe computation of theBLUEs with two data sets.

Reference this Research Paper (copy & paste below code):

A. Vasudeva Rao, S. Bhanu Prakash and Sd. Jilani (2017); Best Linear Unbiased Estimation of Location and Scale Parameters in Generalized Exponential Distribution under Type-II Censoring; Int J Sci Res Publ 7(8) (ISSN: 2250-3153). http://www.ijsrp.org/research-paper-0817.php?rp=P686678
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