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In this paper, a generalization for the Birnbaum Saunders distribution, which has been applied to the modelling of fatigue failure times and reliability studies, is considered. The maximum likelihood estimators and statistical inference for…

Statistics Theory · Mathematics 2021-09-06 Beenu Thomas , Chacko V M

In learned image compression, probabilistic models play an essential role in characterizing the distribution of latent variables. The Gaussian model with mean and scale parameters has been widely used for its simplicity and effectiveness.…

Image and Video Processing · Electrical Eng. & Systems 2025-04-24 Haotian Zhang , Li Li , Dong Liu

Let $\{X_{n}, n\ge 1\}$ be a sequence of independent random variables with common general error distribution $GED(v)$ with shape parameter $v>0$, and let $M_{n,r}$ denote the $r$th largest order statistics of $X_{1}, X_{2}, \cdots, X_{n}$.…

Probability · Mathematics 2019-05-07 Yingyin Lu , Zuoxiang Peng

In this paper, we derive a probability density function that generalizes the Burr XII distribution. The cumulative distribution function and the $n^{th}$ moment of the generalized distribution are obtained while the distribution of some…

Statistics Theory · Mathematics 2008-12-18 A. K. Olapade

In this paper the generalization of the Poisson distribution is derived for the case when each consecutive event changes event rate. A simple formula for the probability of observing of a given number of events for the selected period of…

Data Analysis, Statistics and Probability · Physics 2014-01-06 E. A. Kushnirenko

We introduce in this paper a new generalization of the flexible Weibull distribution with four parameters. This model based on the Beta generalized (BG) distribution, Eugene et al. \cite{Eugeneetal2002}, they first using the BG distribution…

Statistics Theory · Mathematics 2017-03-20 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

The basic properties of generalized parton distributions (GPDs) and some recent applications of GPDs are discussed

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Radyushkin

Within the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural generalization of the fractional Poisson distribution (fPd), and the standard…

Probability · Mathematics 2021-01-12 Dexter Cahoy , Elvira Di Nardo , Federico Polito

The weighted forms of generalized survival and failure entropies of order ($\alpha,\beta$) are proposed and some properties are obtained. We further propose the dynamic versions of weighted generalized survival and failures entropies and…

Statistics Theory · Mathematics 2020-06-15 Siddhartha Chakraborty , Biswabrata Pradhan

We introduce and study a class of generalized Meixner-type free gamma distributions $\mu_{t,\theta,\lambda}$ ($t,\theta>0$ and $\lambda\ge 1$), which includes both the free gamma distributions introduced by Anshelevich and certain scaled…

Probability · Mathematics 2026-01-14 Noriyoshi Sakuma , Yuki Ueda

The complex Gaussian distribution has been widely used as a fundamental spectral and noise model in signal processing and communication. However, its Gaussian structure often limits its ability to represent the diverse amplitude…

Machine Learning · Statistics 2026-03-30 Toru Nakashika

The generalized gamma distribution shows up in many problems related to engineering, hydrology as well as survival analysis. Earlier work has been done that estimated the deviation of the exponential and the Weibull distribution from…

Probability · Mathematics 2022-11-10 Zelong Bi , Irfan Durmić , Steven J. Miller

Starting from the geometrical interpretation of the R\'enyi entropy, we introduce further extensive generalizations and study their properties. In particular, we found the probability distribution function obtained by the MaxEnt principle…

Statistical Mechanics · Physics 2015-06-17 Giorgio Sonnino , György Steinbrecher

This article aims to introduced a new lifetime distribution named as exponentiated xgamma distribution (EXGD). The new generalization obtained from xgamma distribution, a special finite mixture of exponential and gamma distributions. The…

Statistics Theory · Mathematics 2018-10-22 Abhimanyu Singh Yadav , Mahendra Saha , Harsh Tripathi , Sumit Kumar

A new three parameter natural extension of the Conway-Maxwell-Poisson (COM-Poisson) distribution is proposed. This distribution includes the recently proposed COM-Poisson type negative binomial (COM-NB) distribution [Chakraborty, S. and…

Statistics Theory · Mathematics 2015-09-02 Subrata Chakraborty , Tomoaki Imoto

Gaussian processes (GPs) are flexible distributions over functions that enable high-level assumptions about unknown functions to be encoded in a parsimonious, flexible and general way. Although elegant, the application of GPs is limited by…

Machine Learning · Statistics 2017-10-06 Thang D. Bui , Josiah Yan , Richard E. Turner

The pair distribution function of the electron gas is calculated using a parameterized generalization of quantum hypernetted chain approximation with the parameters being obtained by optimizing the system energy with a genetic algorithm.…

Statistical Mechanics · Physics 2011-05-13 Fernando Vericat , César O. Stoico , C. Manuel Carlevaro , Danilo G. Renzi

A discrete version of the Gumbel (Type I) extreme value distribution has been derived by using the general approach of discretization of a continuous distribution. Important distributional and reliability properties have been explored. It…

Statistics Theory · Mathematics 2014-10-29 Subrata Chakraborty , Dhrubajyoti Chakravarty

Given a probability distribution $\mu$ in $\mathbb{R}^d$ represented by data, we study in this paper the generative modeling of the corresponding conditional probability distributions on the level-sets of a collective variable…

Machine Learning · Statistics 2026-03-30 Fatima-Zahrae Akhyar , Wei Zhang , Gabriel Stoltz , Christof Schütte

The generalized logistic equation is derived to model kinetics and statistics of natural processes such as earthquakes, forest fires, floods, landslides, and many others. The general solution of this equation for q=1 is a product of an…

Geophysics · Physics 2017-03-28 Lev A. Maslov , Vladimir I. Chebotarev