Linear shrinkage estimator of scale parameter of Morgenstern type bivariate logistic distribution using ranked set sampling

Article type: Research Article

Authors: Singh, Housila P.^{; *} | Mehta, Vishal

Affiliations: School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India

Correspondence: [*] Corresponding author: Housila P. Singh, School of Studies in Statistics, Vikram University, Ujjain 456010, Madhya Pradesh, India. E-mail: [email protected].

Abstract: Ranked set sampling is applicable whenever ranking of a set of sampling units can be done easily by a judgement method or based on the measurement of an auxiliary variable on the units selected. In this paper, we have suggested some linear shrinkage estimators of the scale parameter of Morgenstern type bivariate logistic distribution (MTBLD) using ranked set sampling alongwith their properties. Relevant conditions are obtained under which the suggested estimators are better than Chacko and Thomas [6] estimators and the minimum mean squared error (MMSE) estimators. Numerical illustrations are given in support of the present study.

Keywords: Ranked set sample, shrinkage estimator, Morgenstern type bivariate logistic distribution, minimum mean squared error estimator, best linear unbiased estimator, concomitants of order statistics

DOI: 10.3233/MAS-140301

Journal: Model Assisted Statistics and Applications, vol. 9, no. 4, pp. 295-307, 2014