- Tytuł:
- Statistical properties and different methods of estimation for extended weighted inverted Rayleigh distribution
- Autorzy:
-
Yadav, Abhimanyu Singh
Singh, S. K.
Singh, Umesh - Powiązania:
- https://bibliotekanauki.pl/articles/1363558.pdf
- Data publikacji:
- 2020-06-05
- Wydawca:
- Główny Urząd Statystyczny
- Tematy:
-
moments and inverse moments
entropy measurements
order statistics
classical methods of estimation - Opis:
- The aim of this paper is to introduce a new weighted probability distribution to model the non-monotone failure rate pattern for survival data. The proposed distribution is generalized by considering inverted Rayleigh distribution as a baseline distribution called an extended weighted inverted Rayleigh distribution. Different statistical properties such as moment, quantile function, moment generating function, entropy measurement, Bonferroni and Lorenz curve, stochastic ordering and order statistics have been derived. Different estimation procedures have also been discussed to estimate the unknown parameters of the proposed probability distribution. The Monte Carlo simulation study has been conducted to compare the performances of the proposed estimators obtained through various methods of estimation. Finally, two real data sets have been used to show the applicability of the proposed model in a real-life scenario.
- Źródło:
-
Statistics in Transition new series; 2020, 21, 2; 119-141
1234-7655 - Pojawia się w:
- Statistics in Transition new series
- Dostawca treści:
- Biblioteka Nauki
Artykuł