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Auxiliary Information and A Priori Values in Construction of Improved Estimators

By Smarandache, Florentin

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Book Id: WPLBN0002828148
Format Type: PDF (eBook)
File Size: 332.07 kb
Reproduction Date: 7/12/2013

Title: Auxiliary Information and A Priori Values in Construction of Improved Estimators  
Author: Smarandache, Florentin
Volume:
Language: English
Subject: Non Fiction, Education, Ratio Estimators
Collections: Mathematics, Authors Community, Statistics, Agriculture, Sociology, Literature, Most Popular Books in China, Education
Historic
Publication Date:
2013
Publisher: World Public Library
Member Page: FlorentinSmarandache

Citation

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Smarandache, F., & Singh, R. (2013). Auxiliary Information and A Priori Values in Construction of Improved Estimators. Retrieved from http://www.gutenberg.cc/


Description
This volume is a collection of six papers on the use of auxiliary information and a priori values in construction of improved estimators. The work included here will be of immense application for researchers and students who employ auxiliary information in any form.

Excerpt
Introduction In survey sampling, the use of auxiliary information can increase the precision of an estimator when study variable y is highly correlated with the auxiliary variable x. but in several practical situations, instead of existence of auxiliary variables there exists some auxiliary attributes, which are highly correlated with study variable y, such as (i) Amount of milk produced and a particular breed of cow. (ii) Yield of wheat crop and a particular variety of wheat etc. (see Shabbir and Gupta (2006)). In such situations, taking the advantage of point biserial correlation between the study variable and the auxiliary attribute, the estimators of parameters of interest can be constructed by using prior knowledge of the parameters of auxiliary attribute.

Table of Contents
Preface...............................................4 1.Ratio Estimators in Simple Random Sampling Using Information on Auxiliary Attribute...............................................7 2.Ratio-Product Type Exponential Estimator for Estimating Finite Population Mean Using Information on Auxiliary Attribute......................18 3.Improvement in Estimating the Population Mean Using Exponential Estimator in Simple Random Sampling....................................33 4.Almost Unbiased Exponential Estimator for the Finite Population Mean......................41 5.Almost Unbiased Ratio and Product Type Estimator of Finite Population Variance Using the Knowledge of Kurtosis of an Auxiliary Variable in Sample Surveys....................................54 6.A General Family of Estimators for Estimating Population Variance Using Known Value of Some Population Parameter(s).....................62-73

 

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