Al-Mosawi, Riyadh Rustom and Khan, Shahjahan 
ORCID: https://orcid.org/0000-0002-0446-086X
(2018)
Estimating moments of a selected Pareto population under asymmetric scale invariant loss function.
Statistical Papers, 57.
pp. 183-198.
ISSN 0932-5026
Abstract
Consider independent random samples from (k≥2) Pareto populations with the same known shape parameter but different scale parameters. Let Xi be the smallest observation of the ith sample. The natural selection rule which selects the population associated with the largest Xi is considered. In this paper, we estimate the moments of the selected population under asymmetric scale invariant loss function. We investigate risk-unbiased, consistency and admissibility of the natural estimators for the moments of the selected population. Finally, the risk-bias’s and risks of the natural estimators are numerically computed and compared for k=2,3.
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| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019) |
| Date Deposited: | 29 Feb 2016 00:19 |
| Last Modified: | 29 Mar 2021 05:59 |
| Uncontrolled Keywords: | pareto distribution, estimation following selection, asymmetric scale invariant loss function, risk-unbiased, risk |
| Fields of Research (2008): | 01 Mathematical Sciences > 0104 Statistics > 010499 Statistics not elsewhere classified 01 Mathematical Sciences > 0104 Statistics > 010405 Statistical Theory |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4905 Statistics > 490599 Statistics not elsewhere classified 49 MATHEMATICAL SCIENCES > 4905 Statistics > 490509 Statistical theory |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| Identification Number or DOI: | https://doi.org/10.1007/s00362-016-0758-7 |
| URI: | http://eprints.usq.edu.au/id/eprint/28925 |
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