TITLE:
Weibull-Bayesian Estimation Based on Maximum Ranked Set Sampling with Unequal Samples
AUTHORS:
B. S. Biradar, B. K. Shivanna
KEYWORDS:
Bayesian Estimation, Loss Function, MRSSU, SRS, RSS
JOURNAL NAME:
Open Journal of Statistics,
Vol.6 No.6,
December
2,
2016
ABSTRACT: A modification of ranked set sampling (RSS)
called maximum ranked set sampling with unequal sample (MRSSU) is considered
for the Bayesian estimation of scale parameter α of the Weibull distribution.
Under this method, we use Linex loss function, conjugate and Jeffreys prior
distributions to derive the Bayesian estimate of α. In order to measure the
efficiency of the obtained Bayesian estimates with respect to the Bayesian
estimates of simple random sampling (SRS), we compute the bias, mean squared
error (MSE) and asymptotic relative efficiency of the obtained Bayesian
estimates using simulation. It is shown that the proposed estimates are found
to be more efficient than the corresponding one based on SRS.