Minimum Variance Unbiased Estimation in the Rayleigh Distribution Under Progressive Type II
Censored Data with Binomial Removals
by Ashok Shanubhogue and N.R.Jain.
Abstract:This paper concerns with the problem of uniformly minimum variance unbiased estimation of
the scale parameter of Rayleigh distribution based on progressive Type II censored data with
binomial removals. We obtain the uniformly minimum variance unbiased estimator (UMVUE) for
powers of the scale parameter and its functions. The UMVUE of the variance of these estimators
are also given. The UMVUE of the (i) mode (ii) rth moment (iii) mean (iv) variance (v) hazard
function (vi) median (vii) pth quantile (viii) p.d.f. (ix) positive power of reliability function
and (x) c.d.f. of the the Rayleigh distribution are derived. The UMVUE of p.d.f. is utilized
to obtain the UMVUE of P(X < Y). An illustrative numerical example is presented.
progressive Type II censored sample, Rayleigh distribution, binomial distribution,
complete sufficient statistic, UMVUE
Ashok Shanubhogue, firstname.lastname@example.org
Jain, Kanchan, email@example.com
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