Proper site characterization is vital for cost effective design of a remediation system. Scarcity of data, spatially and temporally varying site conditions and cost associated with sampling, lead to decisions being made under uncertainty which may be categorized as stochastic, lexical or informal. Probability theory, developed for stochastic uncertainties, is not suitable for representing lexic...

We present a rejection method based on recursive covering of the probability density function with equal tiles. The concept works for any probability density function that is pointwise computable or representable by tabular data. By the implicit construction of piecewise constant majorizing and minorizing functions that are arbitrarily close to the density function the production of random vari...

The issue of the mean signal level crossing rate for various probability density functions with primary relevance for optics is discussed based on a new analytical method. This method relies on a unique transformation that transforms the probability distribution under investigation into a normal probability distribution, for which the distribution of mean level crossings is known. In general, t...

The pattern theory of Grenander is a mathematical framework where the patterns are represented by probability models on random variables of algebraic structures. In this paper, we review three families of probability models, namely, the discriminative models, the descriptive models, and the generative models. A discriminative model is in the form of a classifier. It specifies the conditional pr...

each word can be changed over time. understanding the terminology changes in any knowledge is imperative and it prevents the researchers of that knowledge from taking mistakes. this article is trying to perform the semantic transformation of the term of pleura.

The financial transformation journey is often addressed through trying to avoid the pitfalls associated with the causes of failure while leveraging the critical success factors. At best, Chief Financial Officers adopting this approach are likely to improve the degree of customer service experienced by Finance department. This is unlikely to lead to sustainable financial transformation being ach...

A criterion of joint ergodicity of several sequences of transformations of a probability measure space X of the form T φi(n) i is given for the case where Ti are commuting measure preserving transformations of X and φi are integer valued generalized linear functions, that is, the functions formed from conventional linear functions by an iterated use of addition, multiplication by constants, and...

A goodness-of-fit test for exchangeable Archimedean copulas is presented. In a large-scale simulation study it is shown that the test performs well according to the error probability of the first kind and the power under several alternatives, especially in large dimensions. The proposed test is compared to other known tests for Archimedean copulas. In contrast to the latter, the former is simpl...