On some generalized ageing orderings

Some partial orderings which compare probability distributions with the expo- nential distribution, are found to be very useful to understand the phenomenon of ageing. Here, we introduce some new generalized partial orderings which de- scribe the same kind of characterization of some generalized ageing classes. We give some equivalent conditions for each of the orderings. Inter-relations among the generalized orderings have also been discussed

On hypergeometric generalized negative binomial distribution

It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three-term recurrence relation for computing probabilities from the considered distribution is given. Application of the distribution to entomological field data is given and its goodness-of-fit is demonstrated

Estimation of the scale parameter of gamma model in presence of outlier observations

This paper considers the Bayesian point estimation of the scale parameter for a two-parameter gamma life-testing model in presence of several outlier observations in the data. The Bayesian analysis is carried out under the assumption of squared error loss function and fixed or random shape parameter

ESTIMATION OF THE SCALE PARAMETER OF GAMMA MODEL IN THE PRESENCE OF OUTLIER OBSERVATIONS

ABSTRACT. This paper considers the Bayesian point estimation of the scale parameter for a two-parameter gamma life-testl,g model In presence of several outller observations in the data. The Bayesian analysis is carried out under the assumption of squared error loss function and fixed or random shape parameter