Sep 2026· Communications faculty of sciences university of ankara series a1 mathematics and statistics· Vol 75, pp. 374-382· 0 citations· 11 references
Abstract
Under the simple random sampling without replacement (SRSWOR) scheme, we have proposed a generalized ratio-type estimator to more effectively estimate the population variance while incorporating auxiliary information. It provides the bias and Mean Square Error (MSE) mathematical equations for a first-order approximation. Efficiency and alternative estimators are theoretically contrasted. These findings are supported by an empirical study that uses a real population dataset to show that the suggested estimator performs better than the alternatives. The proposed estimator can be used to many fields for better estimation of population variance.
This study proposes a novel improved ratio-type estimator for efficient estimation of the population mean in stratified sampling by integrating auxiliary attribute information through a unified nonlinear framework. Unlike conventional ratio, product, and exponential-type estimators, the proposed estimator combines thes...
M. K. Verma, Saif Ali Khan· Advanced Modeling and Simula...· 0 citations
One of the key issues in the survey sampling and statistical inference is the estimation of population proportion. In this research the generalized form of estimators is suggested to estimate the proportions of the population using the addition of auxiliary properties which show correlation with the research variable....
Elfarazdag M. M. Hussein, A. K. Pandey, Sohaib Ahmad· Boletim da Sociedade Paranae...· 0 citations
This article proposed an improved data science ratio-type estimator for estimating the population mean of a study
variable using multiple auxiliary variables in stratified sampling. In this paper, we present a comprehensive view on data science
including various types of estimating advanced analytics and population met...
Anupama Bhadauriya, R. P. Sarang, Gajendra Singh Rajput· International Journal for Re...· 0 citations
In classical survey sampling, the population mean is typically estimated using fixed observed values, often incorporating auxiliary information to improve precision. The primary objective of this study is to develop a family of memory-type estimators based on the Exponentially Weighted Moving Average (EWMA) technique f...
Prayas Sharma, Rajesh Singh, Y. Singh· Journal of Reliability and S...· 0 citations
This paper considers the problem of estimating the ratio of variance components of a balanced one-way random effects model. Existing estimators of ratio of variance, such as the ANOVA and maximum likelihood estimators, can take negative values and are inadmissible under quadratic loss. We therefore study the problem un...
