Title of article :
Parameter Estimation and Prediction for the Generalized Half- Normal Distribution under Progressive Hybrid Censoring
Author/Authors :
Sultana, Farha Department of Mathematics - Indian Institute of Technology Patna, India , Tripathi, Yogesh Mani Department of Mathematics - Indian Institute of Technology Patna, India , Rastogi, Manoj Kumar Department of Statistics - Patna University, Patna-800005, India
Abstract :
In this paper, the problem of estimating unknown parameters of a general-
ized half- normal distribution is considered under Type II progressive hybrid censoring
which is a combination of Type II progressive and hybrid censoring schemes. We obtain
maximum likelihood estimators of parameters and also construct asymptotic intervals
using the observed Fisher information matrix. Further Bayes estimates are computed
under the squared error loss function by applying dierent approximation methods.
We also obtain prediction estimates and prediction intervals of censored observations.
The performance of dierent methods is compared using Monte Carlo simulations and
a real data set is analyzed for illustrative purposes.
Keywords :
Prediction , Type II progressive hybrid censoring , Tier- ney and Kadane method , Maximum likelihood estimators , HPD intervals , Bayesian estimates