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Investigation of half-normal model using informative priors under Bayesian structure

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Khawar Kiani S., Aslam M., Bhatti M. I.

Statistics in Transition new series

2023

vol. 24

issue 4

19-36

This paper considers properties of half-normal distribution using informative priors under the Bayesian criterion. It employs the squared root inverted gamma, Chi-square and Rayleigh distributions as the prior distribution to construct the Posterior distributions of the respective distributional parameters. Hyperparameters are elicited via prior predictive distribution. The properties of posterior distribution are studied, and their graphs are presented using a real data set. A comprehensive simulation scheme is conducted using informative priors. Bayes estimates are obtained using the loss functions (squared error loss function, modified loss function, quadratic loss function and Degroot loss function). Statistical inferences interval estimates and Bayesian hypothesis testing are presented to demonstrate the usefulness of the study.

A study on exponentiated Gompertz distribution under Bayesian discipline using informative priors

100%

Aslam M., Afzaal M., Bhatti M. I.

Statistics in Transition new series

2021

vol. 22

issue 4

101-119

The exponentiated Gompertz (EGZ) distribution has been recently used in almost all areas of human endeavours, starting from modelling lifetime data to cancer treatment. Various applications and properties of the EGZ distribution are provided by Anis and De (2020). This paper explores the important properties of the EGZ distribution under Bayesian discipline using two informative priors: the Gamma Prior (GP) and the Inverse Levy Prior (ILP). This is done in the framework of five selected loss functions. The findings show that the two best loss functions are the Weighted Balance Loss Function (WBLF) and the Quadratic Loss Function (QLF). The usefulness of the model is illustrated by the use of reallife data in relation to simulated data. The empirical results of the comparison are presented through a graphical illustration of the posterior distributions.

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2 Statistics in Transition new series

2 Aslam M.

2 Bhatti M. I.

1 Afzaal M.

1 Khawar Kiani S.

1 2023

1 2021

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Investigation of half-normal model using informative priors under Bayesian structure

A study on exponentiated Gompertz distribution under Bayesian discipline using informative priors