Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records

Authors : A ASGHARZADEH, M ABDİ, Shuojye WU

Pages : 399-416

View : 30 | Download : 11

Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :In this paper, we study the estimation problems for the two-parameter bathtub-shaped lifetime distribution based on upper record values. Exact condifence intervals and exact confidence regions for the parameters are constructed. Approximate confidence intervals and regions are also dis ussed based on the asymptoti normality of the maximum likelihood estimators. A simulation study is done for the performance of all proposed confidence intervals and regions. Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here. 
Keywords : Confidence interval, Joint condidence region, Monte Carlo simulation, Pivot, Upper record values