In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

This note generalizes Chao's estimator of population size for closed capture-recapture studies if covariates are available. Chao's estimator was developed under unobserved heterogeneity in which case it represents a lower bound of the population size. If observed heterogeneity is available in form of covariates we show how this information can be used to reduce the bias of Chao's estimator. The...

 Minimax estimation problems with restricted parameter space reached increasing interest within the last two decades Some authors derived minimax and admissible estimators of bounded parameters under squared error loss and scale invariant squared error loss In some truncated estimation problems the most natural estimator to be considered is the truncated version of a classic...

Skewed symmetric distributions have attracted a great deal of attention in the last few years. One of them, the skewed t distribution suffers from limited applicability because of the lack of finite moments. This note proposes an alternative to the skewed t distribution, which we refer to as skewed truncated t distribution. It is defined by the pdf f(z) = 2g(x)G(Ax), where g(.) and G(.) are tak...

Based on the ongoing actual need for probability distributions that are more elastic than already in place, we present here doubly truncated Exponentiated Inverted Gamma distribution (DTEIGD). The rth raw moments function form derives new density. Stress-strength reliability, Shannon and relative entropies have also been discussed.