We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Estimation of P(X < Y) using Some Modifications of Ranked Set Sampling for Weibull Distribution.
- Authors
Akgül, Fatma Gül; Şenoğlu, Birdal
- Abstract
Ill statistical literature, estimation of R = P(X < V) is a commonly-investigated problem, and consequently, there have been considerable number of studies dealing with its estimation of it under simple random sampling (SRS). However, in recent years, the ranked set sampling (RSS) method have been widely-used in the estimation of R. In this study, we consider the estimation of R when the distribution of the both stress and strength are Weibull under the modification of RSS, which are extreme ranked set sampling (ERSS), median ranked set sampling (MRSS) and percentile ranked set sampling (PRSS). We obtain the estimators of R using the maximum likelihood (ML) and the modified maximum likelihood (MML) methodologies under these modifications. Then the performances of proposed estimators are compared with the corresponding ML and MML estimators of R using SRS via a Monte-Carlo simulation study.
- Subjects
ESTIMATION theory; STATISTICAL sampling; WEIBULL distribution; MONTE Carlo method; MAXIMUM likelihood statistics
- Publication
Pakistan Journal of Statistics & Operation Research, 2017, Vol 13, Issue 4, p931
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v13i4.2056