In medical, biological and social science, three dimensional contingency tables with ordered categories usually arise and one expects a monotone association yet one may prefer not to assume a particular parametric model. One of its key roles is how to estimate its parameters under monotonic...

Motivation: The reconstruction of gene networks from gene expression microar-rays is gaining popularity as methods improve and as more data become available. The reliability of such networks could be judged by the probability that a connection between genes is spurious, resulting from chance...

For a sequence of independent and identically distributed random vectors , we consider the conditional ordering of this random vectors with respect to the magnitudes of , where N is a p− variate continuous function defined on the support set of X and satisfying certain regularity conditions....

In this article, two methods are proposed to give the interval estimation for two parameters exponential distribution under multiple type-II censoring on complex case. Fei and Kong (1994), Balasubramanian and Balakrishnan (1992) use approximate maximum likelihood estimator to construct interval...

This is a survey on the sample path properties of Markov processes, especially fractal properties of the random sets and measures determined by their sample paths. The class of Markov processes considered in this paper include Lévy processes in ℝ, diffusions on fractals and on ℝ, Feller...

This paper determines the vertices and surface volumes of all rounding polytopes for the most commonly used rounding methods: the quota method of greatest remainders and the divisor methods. These rounding methods are used to round continuous non-negative weights summing up to one to...

If we assume the Thesis that any classical Turing machine T, which halts on every -ary sequence of natural numbers as input in a determinate time (), determines a PA-provable formula, whose standard interpretation is an -ary arithmetical relation (, ..., ) that holds if, and only if, T halts,...

Given integer-valued and more general real-valued wagers, Feller(1968), Ethier and Khoshnevisan(2002) have established upper and lower bounds on the probability of ruin, which often turn out to be very close to each other. However, the exact calculation of these bounds depends on the unique...

We show a lower bound for the boundary crossing probability [0,1] : h(z) + with a Brownian bridge, a trend function and a boundary function. By that we get also a lower bound for the boundary crossing probability P{∃z ∈ [0,1] : h(z) + Bo(z) u(z)}. It turns out that the bound improves the...

A new class of bivariate and trivariate discrete distributions with binomial and multinomial marginals are studied. This class of distributions are obtained by the natural way using probabilistic properties of the considered sampling model. The applications in exceedance models for order...