JOURNAL ARTICLE

Almost unbiased ratio and product type exponential estimators

Rohini YadavLakshmi N. UpadhyayaHousila P. SinghShuvam Chatterjee

Year: 2013 Journal:   Statistics in Transition New Series Vol: 13 (3)Pages: 537-550   Publisher: Exeley Inc

Abstract

This paper considers the problem of estimating the population mean Y of the study variate y using information on auxiliary variate x. We have suggested a generalized version of Bahl and Tuteja (1991) estimator and its properties are studied. It is found that asymptotic optimum estimator (AOE) in the proposed generalized version of Bahl and Tuteja (1991) estimator is biased. In some applications, biasedness of an estimator is disadvantageous. So applying the procedure of Singh and Singh (1993) we derived an almost unbiased version of AOE. A numerical illustration is given in the support of the present study.

Keywords:
Statistics Mathematics Estimator Exponential function Product (mathematics) Econometrics Type (biology) Applied mathematics Mathematical analysis Biology

Metrics

3
Cited By
0.30
FWCI (Field Weighted Citation Impact)
5
Refs
0.63
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Survey Sampling and Estimation Techniques
Physical Sciences →  Mathematics →  Statistics and Probability

Related Documents

JOURNAL ARTICLE

Almost Unbiased Ratio and Product Type Estimators: A New Approach

P. K. MahajanSarjinder Singh

Journal:   Biometrical Journal Year: 1997 Vol: 39 (4)Pages: 509-516
JOURNAL ARTICLE

Ratio and Product Type Exponential Estimators

Shashi BahlR.K. Tuteja

Journal:   Journal of Information and Optimization Sciences Year: 1991 Vol: 12 (1)Pages: 159-164
JOURNAL ARTICLE

Classes of almost unbiased ratio and product type estimators in two phase sampling

Housila P. SinghRaj K. Gangele

Journal:   Università degli Studi di Bologna Year: 2013 Vol: 59 (1)Pages: 109-124
JOURNAL ARTICLE

On a Class of Almost Unbiased Ratio Type Estimators

A. K. P. C. SwainPriyaranjan Dash

Journal:   Journal of Statistical Theory and Applications Year: 2020 Vol: 19 (1)Pages: 28-28
JOURNAL ARTICLE

Almost unbiased ratio and product estimators based on interpenetrating subsamples

Housila P. SinghRonaldo IachanLakshmi N. Upadhyaya

Journal:   Communication in Statistics- Theory and Methods Year: 1985 Vol: 14 (4)Pages: 963-978
© 2026 ScienceGate Book Chapters — All rights reserved.