Using the general relationships amongst probability functions, failure rate function and mean residual life function, common measures used to describe continuous reliability distributions, we present some characterization results for geometric, Waring and negative hypergeometric distributions in...

Based on the concept of complexity or minimum description length developed by Kolmogorov, Rissanen, Wallace, and others, an index of predictive power is proposed as a criterion to select the principal components of a random vector distributed in a parametric family. This criterion, when applied...

Unbiased estimates, using auxiliary information, are developed for finite population variance.

Consider a super-critical Galton--Watson branching process. Gadag and Kunte (1980) have shown that such a process when restricted to non-extinction set does not retain branching property. In this note, we study the properties of the known estimators of the offspring mean (Nagaev, 1967) and...

In the univariate setup the Lomax distribution is being widely used for stochastic modelling of decreasing failure rate life components. It also serves as a useful model in the study of labour turnover, queueing theory, and biological analysis. A bivariate extension of the Lomax distribution...