Estimating the values of parameters in latent class analysis, one needs to know the number of clusters in advance. It is crucial to determine a criterion which enables confirmation of the superiority of one number of classes over the others. A statistical approach, which is based on a likelihood...

Bayesian approaches to the estimation of DSGE models are becoming increasingly popular. Prior knowledge is normally formalized either be information concerning deep parameters’ values (‘microprior’) or some macroeconomic indicator, e.g. moments of observable variables (‘macroprior’)....

The present article considers Bayesian unit root test for autoregressive model involving structural break in variance. The posterior odds ratio for testing of unit root hypothesis against the alternative of break in variance has been derived under appropriate prior assumptions for the...

The effect of the prior distribution of the outcome and exposure models’ covariate inclusion indicators in the Bayesian Adjustment for Confounding (BAC) algorithm is studied. The investigative approach is to analytically describe the posterior probabilities of the outcome models in terms of...

In this paper, the geometric distribution parameter is estimated under a type-I censoring scheme by means of the Bayesian estimation approach. The Beta and Kumaraswamy informative priors, as well as five loss functions are used for this purpose. Expressions of Bayes estimators and Bayes risks...

Abstract A procedure is derived for determining the values of the parameters of a multinomial distribution by means of the fiducial approach proposed by Fisher. By decomposing the involved probability (mass or density) functions, it is shown that the resulting fiducial distributions belong to...

Abstract Public policy relies strongly upon expert opinion, especially in risk assessment for rare events. But expert opinion is often inconsistent, both within and between experts. We therefore develop a statistical model for the elicited opinions, and use that to borrow strength across the...

The polytopic model (PM) structure is often used in the areas of automatic control and fault detectionand isolation (FDI). It is an alternative to the multiple model approach which explicitly allowsfor interpolation among local models.This thesis proposes a novel approach to PM estimation by...