Improved Estimator of Population Variance Using Measure of Dispersion of Auxiliary Variable | Zendy

Muhammad Ibrahim Khalil | Zendy; Muhammad Ubaid Ali | Zendy; Usman Shahzad | Zendy; Muhammad Hanif | Zendy; Nasir Jamal | Zendy

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Improved Estimator of Population Variance Using Measure of Dispersion of Auxiliary Variable

Author(s) -

Muhammad Ibrahim Khalil,

Muhammad Ubaid Ali,

Usman Shahzad,

Muhammad Hanif,

Nasir Jamal

Publication year - 2018

Publication title -

oriental journal of physical sciences

Language(s) - English

Resource type - Journals

ISSN - 2456-799X

DOI - 10.13005/ojps03.01.06

Subject(s) - estimator , statistics , mathematics , population variance , mean squared error , variance (accounting) , variable (mathematics) , population , standard deviation , measure (data warehouse) , standard error , population mean , efficiency , computer science , data mining , mathematical analysis , accounting , demography , sociology , business

This research study is designed to obtain a more precise class of estimators of a population variance by taking advantage of relation between auxiliary variable and study variable. Here a class of new modified ratio type estimators of population variance by using coefficient of variation (CV), standard deviation, mean and median of auxiliary variable. Further empirical study is made to compare bias and mean square error (MSE) of proposed estimators with the existing estimators. Expressions for bias and MSE are obtained. Few secondary data sets are used to check the efficiency of proposed estimators of population variance. Article history Received: 29 March 2018 Accepted: 14 June 2018

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