Title of article :
On the Independence of Jeffreys’ Prior for Truncated-Exponential Skew-Symmetric Models
Author/Authors :
Mirzadeh, S. Department of Mathematics and Statistics - Islamic Azad University Mashhad Branch, Mashhad , Iranmanesh, A. Department of Mathematics and Statistics - Islamic Azad University Mashhad Branch, Mashhad , Ormoz, E. Department of Mathematics and Statistics - Islamic Azad University Mashhad Branch, Mashhad
Abstract :
We study the independent Jeffreys' prior of the unknown location, scale and skewness parameters of truncated-exponential skew-symmetric distributions(TESSD). We show that this prior is symmetric and improper but it yields a proper posterior distribution for some densities. A simulation study using Monte Carlo methods is presented to compare the efficiency of Bayesian estimators in TESSD with Azzalinis' skew models under square error loss and Linex loss functions.
Keywords :
Bayesian estimator , Jeffreys’ prior , Posterior existence , Simulation , Truncated-exponential skew-symmetric distributions , Truncated exponential skew-logistic distributions
Journal title :
International Journal of Industrial Mathematics(IJIM)
