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Memory Type Ratio and Product Estimators in Stratified Sampling

Irfan Aslam, Muhammad Noor‐ul‐Amin, Uzma Yasmeen, Muhammad Hanif

2020Journal of Reliability and Statistical Studies25 citationsDOIOpen Access PDF

Abstract

The exponential weighted moving average (EWMA) statistic is utilized the past information along with the present to enhance the efficiency of the estimators of the population parameters. In this study, the EWMA statistic is used to estimate the population mean with auxiliary information. The memory type ratio and product estimators are proposed under stratified sampling (StS). Mean square errors (MSE) expressions and relative efficiencies of the proposed estimators are derived. An extensive simulation study is conducted to evaluate the performance of the proposed estimators. An empirical study is presented based on real-life data that supports the findings of the simulation study.

Topics & Concepts

EstimatorEWMA chartStatisticsStatisticStratified samplingMean squared errorPopulation meanMathematicsPopulationSampling (signal processing)Computer scienceControl chartSociologyDemographyOperating systemProcess (computing)Computer visionFilter (signal processing)Survey Sampling and Estimation TechniquesStatistical Distribution Estimation and ApplicationsStatistical Methods and Bayesian Inference
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