The purpose of this paper is to obtain Bayes estimators for both the offspring and life-length distribution in the context of a Bellman-Harris age-dependent branching process. We take a non-parametric approach by letting the prior random distributions, for the offspring and life-length...

In this paper, we discuss estimation in two-sample problems where each sample is subjected to type II censoring. We propose estimates that are appropriate modifications of asymptotically efficient estimates in related fixed time censoring models. These modifications are carried out in detail for...

This note discusses the asymptotic distribution of two scale and location invariant estimators of two scale parameters in the multiple linear regression model. Both of these estimators need an initial estimator of the regression parameter vector. The asymptotic distribution of one of these...

The purpose of this note is to show that the conditional distribution of a Dirichlet process P given n independent observations X1... Xn from P and belonging to measurable sets A1,... An with A1 [subset, double equals] A1+1 for i=1,... n=1 is a mixture of Dirichlet processes as introduced by...

This paper presents a nonparametric histogram density estimator based on the spacings of order statistics. This estimator generalizes to the bivariate case the univariate histogram estimator proposed by Van Ryzin (1973). The first of the two theorems in this paper gives conditions under which...