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A simulation study on some confidence intervals for the population standard deviation

Authors :
Abu-Shawiesh, Moustafa Omar Ahmed
Banik, Shipra
Kibria, B. M. Golam
Source :
UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), SORT-Statistics and Operations Research Transactions; 2011: Vol.: 35 Núm.: 2 July-December; p. 83-102, oai:raco.cat:article/248344, Repositori Institucional de la Universitat Rovira i Virgili, Universitat Rovira i virgili (URV), Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona
Publication Year :
2011

Abstract

In this paper a robust estimator against outliers along with some other existing interval estimators are considered for estimating the population standard devi ation. An extensive simulation study has been conducted to compare and evaluate the performance of th e interval estimators. The exact and the proposed robust method are easy to calculate and are n ot overly computer-intensive. It appears that the proposed robust method is performing bette r than other confidence intervals for estimating the population standard deviation, specificall y in the presence of outliers and/or data are from a skewed distribution. Some real-life examples are considered to illustrate the application of the proposed confidence intervals, which also supported t he simulation study to some extent

Details

Language :
English
ISSN :
16962281
Database :
OpenAIRE
Journal :
UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), SORT-Statistics and Operations Research Transactions; 2011: Vol.: 35 Núm.: 2 July-December; p. 83-102, oai:raco.cat:article/248344, Repositori Institucional de la Universitat Rovira i Virgili, Universitat Rovira i virgili (URV), Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona
Accession number :
edsair.dedup.wf.001..203d4d1eb7052e384645938a6440c86c