- Tytuł:
- Estimation of P(X ≤ Y ) for discrete distributions with non-identical support
- Autorzy:
-
Mouli Choudhury, Mriganka
Bhattacharya, Rahul
Maiti, Sudhansu S. - Powiązania:
- https://bibliotekanauki.pl/articles/2107147.pdf
- Data publikacji:
- 2022-09-14
- Wydawca:
- Główny Urząd Statystyczny
- Tematy:
-
stress-strength model
uniformly minimum variance unbiased
maximum likelihood - Opis:
- The Uniformly Minimum Variance Unbiased (UMVU) and the Maximum Likelihood (ML) estimations of R = P(X ≤ Y ) and the associated variance are considered for independent discrete random variables X and Y. Assuming a discrete uniform distribution for X and the distribution of Y as a member of the discrete one parameter exponential family of distributions, theoretical expressions of such quantities are derived. Similar expressions are obtained when X and Y interchange their roles and both variables are from the discrete uniform distribution. A simulation study is carried out to compare the estimators numerically. A real application based on demand-supply system data is provided.
- Źródło:
-
Statistics in Transition new series; 2022, 23, 3; 43-64
1234-7655 - Pojawia się w:
- Statistics in Transition new series
- Dostawca treści:
- Biblioteka Nauki
Artykuł