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...

We prove Khinchin's Theorems for Gelfand pairs (, ) satisfying a condition (*): (a) is connected; (b) is almost connected and Ad (/) is almost algebraic for some compact normal subgroup ; (c) admits a compact open normal subgroup; (d) (, ) is symmetric and is 2-root compact; (e) is a...

The class of bivariate extreme value copulas, which satisfies the monotone regression positive dependence property or equivalently the stochastic increasing property, is considered. A variational calculus proof of the Hutchinson-Lai conjecture about Kendall's tau and Spearman's rho for this...

and subtracting the product from 1.0, the mutual support of semantically independent conjuncts is quantified. While for the Bayesian method, three empirical data are prerequisite, two such data may suffice for the "MPE-Method"

This paper introduces a general technique for estimating the absolute value of the exponential sum for all composite integers k ≠ , a prime power. The new estimate improves the classical estimate by a factor of about 2 or better (depending on ) for all sufficiently large primes Further, it...

Given a Markov operator on a -finite measure space (, Σ, ) and is invariant, we say that has Krengel-Lin decomposition if () = ⊕ (, Σ) where = { ∈ () | ‖()‖ → 0} and Σ is the deterministic -field of . We consider the case of convolution operator and we show that a measure λ on a...