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A new 2 parameter unit Weibull distribution is defined on the unit interval (0,1). The methodology of deducing its PDF, some of its properties and related functions are discussed. The paper is supplied by many figures illustrating the new…

Methodology · Statistics 2025-02-17 Iman Mohammed Attia

Dombi et al. (2019) introduced a three parameter omega distribution and showed that its asymptotic distribution is the Weibull model. We propose a new record-based transmuted generalization of the unit omega distribution by considering…

Statistics Theory · Mathematics 2024-09-04 Ashok Kumar Pathak , Mohd. Arshad , Alok Kumar Pandey , Alam Ali

In experiment, the multiplicity distributions of inelastic processes are truncated due to finite energy, insufficient statistics or special choice of events. It is shown that the moments of such truncated multiplicity distributions possess…

High Energy Physics - Phenomenology · Physics 2015-06-25 I. M. Dremin , V. A. Nechitailo

In recent years, the implications of the generalized (GUP) and extended (EUP) uncertainty prin-ciples on Maxwell-Boltzmann distribution have been widely investigated. However, at high energy regimes, the validity of Maxwell-Boltzmann…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Hooman Moradpour , Sara Aghababaei , Amir Hadi Ziaie

In probability theory, there is a tendency to treat one random variable with a given distribution as being just as good as any other. By and large this is fine because probability is (mostly) concerned with distributional properties of…

Probability · Mathematics 2013-01-31 Douglas Rizzolo

The sub-Gaussian stable distribution is a heavy-tailed elliptically contoured law which has interesting applications in signal processing and financial mathematics. This work addresses the problem of feasible estimation of distributions. We…

Statistics Theory · Mathematics 2022-08-04 Taras Bodnar , Dmitry Otryakhin , Erik Thorsen

Charged particles production in the electron-positron, pbarp and pp collisions in full phase space as well as in the restricted phase space slices, at high energies are described with predictions from shifted Gompertz distribution, a model…

High Energy Physics - Phenomenology · Physics 2018-11-06 R. Chawla , M. Kaur

In this paper, we introduce the Gompertz power series class of distributions which is obtained by compounding Gompertz and power series distributions. This distribution contains several lifetime models such as Gompertz-geometric,…

Methodology · Statistics 2015-09-14 Ali Akbar Jafari , Saeid Tahmasebi

In this paper we propose a new lifetime model, called the odd generalized exponential gompertz distribution, We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of…

Statistics Theory · Mathematics 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa

In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure…

Computation · Statistics 2012-04-20 Hojjatollah Zakerzadeh , Eisa Mahmoudi

In this article we investigate the asymptotic behavior of a new class of multi-dimensional diffusions in random environment. We introduce cut times in the spirit of the work done by Bolthausen, Sznitman and Zeitouni, see [4], in the…

Probability · Mathematics 2009-12-12 Ivan del Tenno

This note corrects a technical error in Guardiola (2020, Journal of Statistical Distributions and Applications), presents updated derivations, and offers an extended discussion of the properties of the spherical Dirichlet distribution.…

Methodology · Statistics 2025-06-06 Jose H Guardiola

We propose results of the investigation of properties of the random sums of random variables. We consider the case, where the number of summands is the first moment of an event occurrence. An integral equation is presented that determines…

Probability · Mathematics 2020-02-12 Ivan Matsak , Mikhail Moklyachuk

In this paper a new lifetime distribution, which is called the exponentiated Weibull-geometric (EWG) distribution, is introduced. This new distribution obtained by compounding the exponentiated Weibull and geometric distributions. The EWG…

Methodology · Statistics 2012-12-23 Eisa Mahmoudi , Mitra Shiran

This paper introduces a new generalization of the power generalized Weibull distribution called the generalized power generalized Weibull distribution. This distribution can also be considered as a generalization of Weibull distribution.…

Statistics Theory · Mathematics 2018-10-16 Mahmoud Ali Selim

Several characterizations of the Generalized Inverse Gaussian (GIG) distribution have been proposed in the literature, especially over the past two decades. These characterization theorems are surveyed, and two new characterizations are…

Probability · Mathematics 2013-12-30 Angelo Efoevi Koudou , Christophe Ley

In the present paper, we develop a new goodness fit test for gamma distribution using the fixed point characterization. U-Statistic theory is employed to derive the test statistic. We discuss how the right censored observations are…

Methodology · Statistics 2021-08-03 Vaisakh K. M. , Sreedevi E. P. , Sudheesh K. Kattumannil

Probability distributions defined on the unit interval are widely used in fields ranging from econometrics to reliability studies. Traditional models such as the beta and Kumaraswamy distributions are well-established due to their…

Methodology · Statistics 2026-03-04 Roberto Vila , Helton Saulo , Poliana Matos , Subhankar Dutta

A new generalization of the family of Poisson-G is called beta Poisson-G family of distribution. Useful expansions of the probability density function and the cumulative distribution function of the proposed family are derived and seen as…

Statistics Theory · Mathematics 2020-05-22 Laba Handique , Subrata Chakraborty , Farrukh Jamal

We consider the empirical eigenvalue distribution of an $m\times m$ principle submatrix of an $n\times n$ random unitary matrix distributed according to Haar measure. Earlier work of Petz and R\'effy identified the limiting spectral measure…

Probability · Mathematics 2019-04-12 Elizabeth Meckes , Kathryn Stewart