Estimation of P(X > Y) with ToppLeone distribution

Genc A. İ.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, cilt.83, sa.2, ss.326-339, 2013 (SCI-Expanded) identifier identifier

  • 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.