Let {Xn ,n=>1} be a strictly stationary sequence of negatively associated random variables, with common distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1, Xk+1) for fixed $K /in N$ based on kernel type estimators. We introduce asymptotic normality and properties and moments. From these we derive the optimal bandwidth...

This paper considers the simple step-stress model from the Marshall-Olkin generalized exponential distribution when there is time constraint on the duration of the experiment. The maximum likelihood equations for estimating the parameters assuming a cumulative exposure model with lifetimes as the distributed Marshall Olkin generalized exponential are derived. The likelihood equations do not lea...

We study convergence and asymptotic zero distribution of sequences of rational functions with xed location of poles that approximate an analytic function in a multiply connected domain Although the study of zero distributions of polynomials has a long history analogous results for truncations of Laurent series have been obtained only recently by A Edrei We obtain extensions of Edrei s results f...