Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2014

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

  • Identification data

    Identifier: RP:2413
    Handle: https://hdl.handle.net/20.500.11797/RP2413
    Authors:
    Jafari, Ali AkbarTahmasebi, Saeid
    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.

  • Others:

    URV's Author/s: Jafari, Ali Akbar Tahmasebi, Saeid
    Keywords: Concomitants of order statistics, Morgenstern type bivariate generalized exponential distribution, ranked set sampling
    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.
    Journal publication year: 2014
    Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article

  • Keywords:

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

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