We obtain a general form of the multivariate Rayleigh and exponential probability density functions (p.d.f.s) when these are generated by corre lated Gaussian random variables. A general expression for the exponential characteristic function (c.f.) is also derived.

Abstract The Standard Precipitation Index (SPI) is a widely used statistical technique for the characterization of droughts. It based on probabilistic standardization procedure, which converts Gamma-type probability distribution function (PDF) into normal (Gaussian) standard series with zero mean and unit deviation. Drought classification SPI indicates dry wet spell characteristics, provided th...

Title of dissertation: STUDIES OF COMPLEX SYSTEMS IN CONDENSED MATTER PHYSICS AND ECONOMICS Anand Banerjee, Doctor of Philosophy, 2008 Dissertation directed by: Professor Victor M. Yakovenko Department of Physics This dissertation reports the study of complex systems from two very different fields. The dissertation is divided into two parts. The first part involves study of angular magnetoresis...

A Valued Constraint Satisfaction Problem (VCSP) provides a common framework that can express a wide range of discrete optimization problems. A VCSP instance is given by a finite set of variables, a finite domain of labels, and an objective function to be minimized. This function is represented as a sum of terms where each term depends on a subset of the variables. To obtain different classes of...

Estimation of Maximum Flood Discharge (MFD) for a given return period is important for planning, design and management of hydraulic structures for the project. This can be achieved through Flood Frequency Analysis (FFA) by fitting of probability distributions to the recorded Annual Maximum Discharge (AMD) data. In this paper, Gamma and Extreme Value family of probability distributions are adopt...

In the paper, we first define a degenerate Pochhammer symbol by using gamma function and investigate its properties. By symbol, introduce hypergeometric function. We also Sumudu transform properties exponential Finally, give certain integral representations, derivative formulas, transforms, factional calculus applications, generating functions of

We provide a recursive formula for the computation of moments distributions belonging to subclass exponential family. This includes important cases as binomial, negative Poisson, gamma and normal distribution, among others. The provides procedure sequentially calculate using only elementary operations. approach makes no use moment generating function.

We present new exponential bounds for the Gaussian function (oneand two-dimensional) and its inverse, and for -ary phase-shift-keying (MPSK), -ary differential phase-shift-keying (MDPSK) error probabilities over additive white Gaussian noise channels. More precisely, the new bounds are in the form of the sum of exponential functions that, in the limit, approach the exact value. Then, a quite ac...

From the integration of nonsymmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions pdfs . A very reliable rank distribution can be conveni...

Three probability models of mothly rainfall such as Gamma, Weibull and Log Normal distribution are evaluated in terms their ability to reproduce the mean statistics derived from 100 times simulation monthly Pekanbaru City, Indonesia. One important studies is investigate understand simulate patterns that occur throughout year. To identify pattern, it requires a curve represent observation receiv...