Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2020
  • Volume: 39e
  • Issue: 2

The parameter estimation of inverse Gaussian distribution under different loss functions*

1. Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur, Uttar Pradesh, India.

†Corresponding author Himanshu Pandey, E-mail: himanshu_pandey62@yahoo.com

1. E-mail: arunrao1972@gmail.com

Abstract

In this paper the Inverse Gaussian distribution is considered for Bayesian analysis. The expressions for Bayes estimators of the parameter are derived under squared error, precautionary entropy, K-loss, and Al-Bayyati’s loss functions by using the quasi and inverted gamma priors.

Keywords

Inverse Gaussian distribution, Bayesian method, Quasi and inverted gamma priors, Squared error, Precautionary, Entropy, K-loss, Al-Bayyati’s loss functions