This study evaluates drought at Lashkargah, Farah, Adraskan, and Gardandiwal stations in Helmand River Basin (HRB) Afghanistan to determine appropriate indices for the basin. Thirty seven years of monthly recorded precipitation data from 1979 2015 are employed with different index (DI) methods which include Standardized Precipitation Index (Normal-SPI, Log-SPI, Gamma-SPI), Percent Normal (PN), ...

Noncentral indefinite quadratic expressions in possibly non- singular normal vectors are represented in terms of the difference of two positive definite quadratic forms and an independently distributed linear combination of standard normal random variables. This result also ap- plies to quadratic forms in singular normal vectors for which no general representation is currently available. The ...

Abstract— Aim: The aim of this study is to develop a public web-based theoretical probability distributions software (KODY) that can calculate probabilities for discrete and continuous distributions.
 
 Materials Methods: Discrete Uniform, Bernoulli, Binomial, Multinomial, Poisson, Geometric, Negative Hypergeometric Zeta (Zipf) from the are explained. Among distributions, Continuous B...

The initial state is one of the greatest uncertainties in heavy-ion collisions. A model-agnostic approach taken phenomenological Trento framework which constrains parameters using Bayesian analysis. However, color-glass condensate (CGC) effective theory predicts energy densities that lie outside recent analyses due, part, to assumption event-by-event multiplicity fluctuations following a $\Gamm...

background: the aim of this work was to establish how well gel dosimeters performed, as substitutes for brain tissue compared with standard phantom materials such as water, polymethyl-methacrylate (or pmma), a150 plastic and te- liquid phantom material for dosimetry of neutron beams in boron neutron capture therapy. materials and methods: thermal neutron fluence, photon dose and epithermal neut...

The purpose of this paper is to provide a discussion, with illustrating examples, on Bayesian forecasting for dynamic generalized linear models (DGLMs). Adopting approximate Bayesian analysis, based on conjugate forms and on Bayes linear estimation, we describe the theoretical framework and then we provide detailed examples of response distributions, including binomial, Poisson, negative binomi...

In this paper, which is a companion paper to W , starting from the Euler integral which appears in a generalization of Jensen’s formula, we shall give a closed form for the integral of log Γ 1± t . This enables us to locate the genesis of two new functions A1/a and C1/a considered by Srivastava and Choi. We consider the closely related function A(a) and the Hurwitz zeta function, which render t...