Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: stress-strength model

Sortuj według:

Ogranicz wyniki do:

On minimum variance unbiased estimation of a reliability system

100%

El Sayed H. S. , Nassar M. M. , Shawky A. I.

tom Vol. 46, nr 3

375-381

This paper investigates the minimum variance unbiased estimation (MVUE) of the reliability function R = P(Y < X) under the assumption that, both, the strength X and the stress Y are independent Gamma random variables. An approximate one- and two-sided confidence intervals for R is obtained. Some numerical results are evaluated for particular sample sizes. Also the MVUE results of this paper are compared with the results obtained by Tong [7].

Estimation of P(X ≤ Y ) for discrete distributions with non-identical support

100%

Mouli Choudhury M. , Bhattacharya R. , Maiti S. S.

tom 23

nr 3

43-64

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.