A Class of Product-Type Exponential Estimators of the Population Mean in Simple Random Sampling Scheme Cover Image

A Class of Product-Type Exponential Estimators of the Population Mean in Simple Random Sampling Scheme
A Class of Product-Type Exponential Estimators of the Population Mean in Simple Random Sampling Scheme

Author(s): A. C. Onyeka
Subject(s): Economy
Published by: Główny Urząd Statystyczny
Keywords: ratio-type and product-type exponential estimators;auxiliary character;simple random sampling;mean square error

Summary/Abstract: The present study proposes a class of product-type exponential estimators for estimating the population mean of the study variable, using known values of some population parameters of an auxiliary character, under the simple random sampling without replacement (SRSWOR) scheme. Furthermore, the study also proposes a modified exponential estimator based on both the ratio-type and the product-type exponential estimators. Properties of the proposed estimators, under the SRSWOR scheme, are obtained up to first order approximation. The modified exponential estimator under optimum conditions is shown to be more efficient than the simple sample mean and the ratio-type and product-type exponential estimators. The theoretical results are supported by an empirical illustration.

  • Issue Year: 14/2013
  • Issue No: 2
  • Page Range: 189-200
  • Page Count: 12
  • Language: English