Estimators for the parameter mean of Morgenstern type bivariate generalized exponential distribution using ranked set sampling
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How to Cite

Tahmasebi, Saeid; and Jafari, Ali Akbar. “Estimators for the parameter mean of Morgenstern type bivariate generalized exponential distribution using ranked set sampling”. SORT-Statistics and Operations Research Transactions, vol.VOL 38, no. 2, pp. 161-80, https://raco.cat/index.php/SORT/article/view/284040.


Abstract

In situations where the sampling units in a study can be more easily ranked based on the measurement of an auxiliary variable, ranked set sampling provides unbiased estimators for the mean of a population that are more efficient than unbiased estimators based on simple random sampling. In this paper, we consider the Morgenstern type bivariate generalized exponential distribution and obtain several unbiased estimators for the mean parameter of its marginal distribution, based on different ranked set sampling schemes. The efficiency of all considered estimators are evaluated and several numerical illustrations are given.

Keywords

  • Concomitants of order statistics
  • Morgenstern type bivariate generalized exponential distribution
  • ranked set sampling
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