TY - JOUR
ID - 3963
TI - Bayesian analysis of type-I right censored data using the 3-component mixture of Burr distributions
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Tahir, M.
AU - Aslam, M.
AU - Hussain, Z.
AD - Department of Statistics, Government College University, Faisalabad 38000, Pakistan
AD - Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
AD - Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Y1 - 2016
PY - 2016
VL - 23
IS - 5
SP - 2374
EP - 2390
KW - Bayesian analysis
KW - Burr distribution
KW - Uniform and Jeffreysâ€™ priors
KW - Posterior risk
KW - Predictive interval
KW - Censored data
DO - 10.24200/sci.2016.3963
N2 - This study is concerned with the problem of estimating the parameters of a 3-component mixture of Burr distributions using type-I right censored data.The closed form expressions for the Bayes estimators and their posterior risks assuming the non-informative (uniform and Jeffreysâ€™) priors under squared error loss function, precautionary loss function and DeGroot loss function are derived.Performance of the Bayes estimators for different sample sizes, test termination times(a point of time after which all other tests are terminated)and parametric values under different loss functions is investigated. The posterior predictive distribution for a future observation and the Bayesian predictive interval are constructed. In addition, the limiting expressions for the Bayes estimatorsand posterior risks are derived.Simulated data sets are designed for thecomparisons and the model is finally illustrated using the real data.
UR - http://scientiairanica.sharif.edu/article_3963.html
L1 - http://scientiairanica.sharif.edu/article_3963_7dd0f4e2e69d3fb25560909b67aa92d8.pdf
ER -