An Improved Ratio-Type Variance Estimator by Using Linear Combination of Diferent Measures of Location | Zendy

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

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An Improved Ratio-Type Variance Estimator by Using Linear Combination of Diferent Measures of Location

Author(s) -

Muhammad Ali,

Muhammad Ibrahim Khalil,

Muhammad Hanif,

Nasir Jamal,

Usman Shahzad

Publication year - 2018

Publication title -

oriental journal of physical sciences

Language(s) - English

Resource type - Journals

ISSN - 2456-799X

DOI - 10.13005/ojps03.01.05

Subject(s) - estimator , mathematics , statistics , mean squared error , population variance , minimum variance unbiased estimator , ratio estimator , bias of an estimator , variance (accounting) , variable (mathematics) , population , quartile , mathematical analysis , accounting , confidence interval , demography , sociology , business

In this research study, modified family of estimators is proposed to estimate the population variance of the study variable when the population variance, quartiles, median and the coefficient of correlation of auxiliary variable are known. The expression of bias and mean squared error (MSE) of the proposed estimator are derived. Comparisons of the proposed estimator with the other existing are conducted estimators. The results obtained were illustrated numerically by using primary data sets. Theoretical and numerical justification of the proposed estimator was done to show its dominance. Article history Received: 29 March 2018 Accepted: 2 June 2018

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