Estimation of scale parameter of a Bivariate Lomax distribution by Ranked Set Sampling

Article type: Research Article

Authors: Koshti, Rohan Dilip | Kamalja, Kirtee Kiran^*

Affiliations: Department of Statistics, North Maharashtra University, Jalgaon, India

Correspondence: [*] Corresponding author: K.K. Kamalja, Department of Statistics, North Maharashtra University, Jalgaon, India. E-mail: kirteekamalja@gmail.com.

Abstract: Concept of Ranked Set Sampling is applicable whenever ranking on a set of sampling units can be done easily by a judgment method or based on an auxiliary variable. In this work, we consider a study variable Y correlated with auxiliary variable X which is used to rank the sampling units. Further (X,Y) is assumed to have bivariate Lomax distribution. We obtain an unbiased estimator of scale parameter of study variable Y based on ranked set sample and censored ranked set sample. Efficiency comparison of these estimators with usual SRS estimator is also performed.

Keywords: Ranked set sampling, censored Ranked Set Sampling, bivariate Lomax distribution, concomitants of order statistics, Best linear unbiased estimator

DOI: 10.3233/MAS-170387

Journal: Model Assisted Statistics and Applications, vol. 12, no. 2, pp. 107-113, 2017