- Türkiye İstatistik Derneği Dergisi
- Vol: 10 Issue: 2
- UNIMODALITY OF DISTRIBUTION OF GENERALIZED ORDER STATISTICS
UNIMODALITY OF DISTRIBUTION OF GENERALIZED ORDER STATISTICS
Authors : Fazli Aliev, Sevgi Yurt Oncel
Pages : 40-44
View : 14 | Download : 10
Publication Date : 2017-07-31
Article Type : Research
Abstract :Unimodality of the distribution of Generalized Order Statistics (GOSs) has a substantial role in many parameter and con dence interval problems of statistics, actuarial science and economics. Under some restrictions on model parameters and distributions a number of authors have shown unimodality of distribution of GOSs. In this article, we present some new results on unimodality of distribution of GOSs that extend and generalize recently obtained results. A counter example showing that the conditions of the main Theorem are minimal is also provided.Keywords : Convexity, Generalized Order Statistics, Order Statistics, Record Values, Unimodality