Inference on Downton’s Bivariate Exponential Distribution Based on Moving Extreme Ranked Set Sampling
DOI:
https://doi.org/10.17713/ajs.v42i3.152Abstract
The purpose of this paper is to estimate the parameters of Downton’sbivariate exponential distribution using moving extreme ranked set sampling
(MERSS). The estimators obtained are compared via their biases and
mean square errors to their counterparts using simple random sampling (SRS).
Monte Carlo simulations are used whenever analytical comparisons are difficult.
It is shown that these estimators based on MERSS with a concomitant
variable are more efficient than the corresponding ones using SRS. Also,
MERSS with a concomitant variable is easier to use in practice than RSS with
a concomitant variable. Furthermore, the best unbiased estimators among all
unbiased linear combinations of the MERSS elements are derived for some
parameters.
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