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....

The common probabilities of two or more semantically independent hypotheses or series of observation, supporting one another, may be calculated by the MPE-Method (Multiplication of the probabilities of error and subtraction of the product from 1.0, Gottlob, 2000). Here, I prove that by the...

The common probabilities of two or more semantically independent hypotheses or series of observation, supporting one another, may be calculated by the MPE-Method (Multiplication of the probabilities of error and subtraction of the product from 1.0, Gottlob, 2000). Here, I prove that by the...

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...

In this paper, we establish some results on strong convergence for sums and weighted sums of uniformly integrable fuzzy random variables taking values in the space of upper-semicontinuous fuzzy sets in

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...