University of Bahrain
Scientific Journals

Confidence Intervals based on Absolute Deviation for Population Mean of a Positively Skewed Distribution

Show simple item record Abu-Shawiesh, Moustafa Omar Ahmad Banik, Shipra Kibria, B.M. Golam 2018-08-01T05:37:23Z 2018-08-01T05:37:23Z 2018-05
dc.identifier.issn 2384-4795
dc.description.abstract This paper proposes three alternative confidence intervals namely, AADM-t, MAAD-t and MADM-t, which are simple adjustments to the Student-t confidence interval for estimating the population mean of a positively skewed distribution. The proposed methods are very easy to calculate and are not overly computer-intensive. The performance of these confidence intervals was compared through a simulation study using the following criterion: (a) coverage probability (b) average width and (c) coefficient of variation of width. Simulation studies indicate that for small sample sizes and moderate/highly positively skewed distributions, the proposed AADM-t confidence interval performs the best and it is as good as the Student-t confidence interval. Some real-life data are analyzed which support the findings of this paper to some extent. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject Confidence interval
dc.subject Robustness
dc.subject Absolute deviation
dc.subject Coverage probability
dc.subject Positively skewed distribution
dc.subject Monte Carlo simulation
dc.title Confidence Intervals based on Absolute Deviation for Population Mean of a Positively Skewed Distribution en_US
dc.type Article en_US
dc.volume 05
dc.issue 01
dc.pagestart 1
dc.pageend 13
dc.source.title International Journal of Computational and Theoretical Statistics
dc.abbreviatedsourcetitle IJCTS

Files in this item

This item appears in the following Issue(s)

Show simple item record

Attribution-NonCommercial-ShareAlike 4.0 International Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International

All Journals

Advanced Search


Administrator Account