dc.contributor.author |
Abu-Shawiesh, Moustafa Omar Ahmad |
|
dc.contributor.author |
Banik, Shipra |
|
dc.contributor.author |
Kibria, B.M. Golam |
|
dc.date.accessioned |
2018-08-01T05:37:23Z |
|
dc.date.available |
2018-08-01T05:37:23Z |
|
dc.date.issued |
2018-05 |
|
dc.identifier.issn |
2384-4795 |
|
dc.identifier.uri |
https://journal.uob.edu.bh:443/handle/123456789/2049 |
|
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 |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
* |
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.identifier.doi |
http://dx.doi.org/10.12785/IJCTS/050101 |
|
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 |
|