EstimatingP(Y < X) using Ranked Set Sampling in Case of the Exponential Distribution

Autor:	E. Al-Sawi, W. A. Abu-Dayyeh, M. F. Saleh, Hassen A. Muttlak
Rok vydání:	2010
Předmět:	Statistics and Probability Data set Exponential distribution Reliability (computer networking) RSS Computation Statistics Statistical inference Estimator computer.file_format Simple random sample computer Mathematics
Zdroj:	Communications in Statistics - Theory and Methods. 39:1855-1868
ISSN:	1532-415X 0361-0926
Popis:	The problem of making statistical inference about θ =P(X > Y) has been under great investigation in the literature using simple random sampling (SRS) data. This problem arises naturally in the area of reliability for a system with strength X and stress Y. In this study, we will consider making statistical inference about θ using ranked set sampling (RSS) data. Several estimators are proposed to estimate θ using RSS. The properties of these estimators are investigated and compared with known estimators based on simple random sample (SRS) data. The proposed estimators based on RSS dominate those based on SRS. A motivated example using real data set is given to illustrate the computation of the newly suggested estimators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::56c9475a9828270dde1755487cdbf9d3 https://doi.org/10.1080/03610920902912976 Zobrazit plný text záznamu