Open AccessEstimation of power function distribution based on selective order statistic
Author(s) -
M. T. Alodat,
Mohammad Al-Rawwash,
S. A. Al-Subh
Publication year - 2018
Publication title -
metodološki zvezki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.127
H-Index - 7
eISSN - 1854-0031
pISSN - 1854-0023
DOI - 10.51936/albt8757
Subject(s) - estimator , mathematics , statistic , statistics , univariate , order statistic , estimation theory , sampling distribution , multivariate statistics
In this article, we present the selective order statistic sampling scheme as a promising approach to estimate the parameter of the univariate power function distribution. We derive the maximum likelihood estimator and the method of moments estimator of the power function distribution parameter as well as the reliability parameter and the ratio of two means. Moreover, we derive the asymptotic properties of the proposed estimators. Finally, we conduct simulation studies to investigate the performance of the selective order statistic scheme and concluded that it suits the power function distribution and we found that the maximum likelihood estimator is better than the method of moments estimator under the selective order statistic sampling scheme.