On Efficient Estimation of Process Variability

Symmetry

Tanveer Akhlaq¹  Muhammad Ismail¹  MuhammadQaiser Shahbaz² 

[1] Department of Statistics, COMSATS University Islamabad, Lahore 54900, Pakistan;Department of Statistics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;

关键词: variability;    transformation;    auxiliary variable;    mean square error;   

DOI  :  10.3390/sym11040554

来源: DOAJ

【 摘 要 】

Variability or dispersion plays an important role in any process and provides insight into the spread of data from some central point, usually the mean. A process with less spread is preferred over a process in which values differ greatly from the mean. Various methods are available to estimate the process dispersion by using information on the variable of interest. Certain additional variables provide good insight to estimate the process dispersion. In this paper, we propose an efficient method for the estimation of process variability by using the exponential method. The properties of the proposed method were studied. We conducted simulation and empirical studies to compare the proposed method with some existing methods of estimation of variability. The results of the numerical study show that our proposed method is better than the other methods used in the study.

【 授权许可】

Unknown