Estimation of P(X > Y) with ToppLeone distribution
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, cilt.83, sa.2, ss.326-339, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 83 Sayı: 2
- Basım Tarihi: 2013
- Doi Numarası: 10.1080/00949655.2011.607821
- Dergi Adı: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.326-339
- Anahtar Kelimeler: ToppLeone distribution, stressstrength model, system reliability, left censored sample, J-shaped distribution, 62N05, 62F10, STRESS-STRENGTH MODEL, RELIABILITY, TOPP
- Çukurova Üniversitesi Adresli: Evet
Özet
We consider the estimation problem of the probability P=P(X>Y) for the standard ToppLeone distribution. After discussing the maximum likelihood and uniformly minimum variance unbiased estimation procedures for the problem on both complete and left censored samples, we perform a Monte Carlo simulation to compare the estimators based on the mean square error criteria. We also consider the interval estimation of P.