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In the present paper a generalization of Gurland distribution [3] is obtained as a beta mixture of the generalized Poisson distribution (GPD) of Consul and Jain [2]. The first two moments of the distribution and a recurrence relation among…

统计理论 · 数学 2008-12-18 Yashwant Singh

Applications of Strongly Convergent M-Estimators are discussed. Given the ubiquity of distributions across the sciences, multiple applications in the Physical, Biomedical and Social Sciences are elaborated. In one particular implementation…

统计方法学 · 统计学 2021-12-23 K. P. Chowdhury

In this article we derive quantitative uniqueness and approximation properties for (perturbations) of Riesz transforms. Seeking to provide robust arguments, we adopt a PDE point of view and realize our operators as harmonic extensions,…

偏微分方程分析 · 数学 2017-08-16 Angkana Rüland

In this current study, the most apparent aspect is to submit a new geometric sequence space. We investigate its topological properties , inclusion relations, Geometric statistical convergence and Geometric property of Orlicz function and .…

泛函分析 · 数学 2022-11-02 Saubhagyalaxmi Singh

The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E.…

统计理论 · 数学 2019-07-02 Mohammed Khalleefah , Sofiya Ostrovska , Mehmet Turan

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…

统计理论 · 数学 2017-03-20 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

The break-by-one gamma distribution has a probability density function resembling the Schechter function, but with the small-argument behavior modified so it is normalizable in commonly arising cases where the Schechter function is not. Its…

宇宙学与河外天体物理 · 物理学 2020-07-31 Thomas J. Loredo

A celebrated unit distance conjecture due to Erd\H os says that that the unit distances cannot arise more than $C_{\epsilon}n^{1+\epsilon}$ times (for any $\epsilon>0$) among $n$ points in the Euclidean plane (see e.g. \cite{SST84} and the…

组合数学 · 数学 2022-02-14 A. Gafni , A. Iosevich , E. Wyman

In this paper, we revisit the classical goodness-of-fit problems for univariate distributions; we propose a new testing procedure based on a characterisation of the uniform distribution. Asymptotic theory for the simple hypothesis case is…

统计方法学 · 统计学 2021-08-17 Bruno Ebner , Shawn Liebenberg , Jaco Visagie

A single joinpoint changepoint model partitions a time series into two segments, joined at the changepoint time by constraining the estimated piecewise linear regression responses to be continuous. This manuscript derives the exact…

统计方法学 · 统计学 2025-11-26 Xueheng Shi , Robert Lund

That data follow a Gompertz distribution is a widely used assumption in diverse fields of applied sciences, e.g., in biology or when analysing survival times. Since misspecified models may lead to false conclusions, assessing the fit of the…

统计理论 · 数学 2023-02-06 Dennis Dobler , Bruno Ebner

In $M$-estimation under standard asymptotics, the weak convergence combined with the polynomial type large deviation estimate of the associated statistical random field Yoshida (2011) provides us with not only the asymptotic distribution of…

统计理论 · 数学 2017-04-18 Hiroki Masuda , Yusuke Shimizu

The q-Gaussian is a probability distribution generalizing the Gaussian one. In spite of a q-normal distribution is popular, there is a problem when calculating an expectation value with a corresponding normalized distribution and not a…

概率论 · 数学 2021-01-05 Nahla Ben Salah

This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems of numerical semigroups, which is a topic that has been around for some years, but it does it in a systematic way…

组合数学 · 数学 2019-07-03 Guadalupe Márquez-Campos , José M. Tornero

This paper deals with the problem of quantifying the approximation a probability measure by means of an empirical (in a wide sense) random probability measure, depending on the first n terms of a sequence of random elements. In Section 2,…

概率论 · 数学 2018-08-23 Emanuele Dolera , Eugenio Regazzini

We study some estimators of the Hurst index and the diffusion coefficient of the fractional Gompertz diffusion process and prove that they are strongly consistent and most of them are asymptotically normal. Moreover, we compare the…

概率论 · 数学 2016-07-13 Kestutis Kubilius , Dmitrij Melichov

We explore a unified $(k_1,k_2,\ldots,k_m)$-run in multi-state trials, examining its distributional properties and waiting time distribution. Our study reveals that this particular run serves as a generalization encompassing various…

概率论 · 数学 2024-10-02 Savita Chaturvedi , Amit N. Kumar

In one dimension, the theory of the $G$-normal distribution is well-developed, and many results from the classical setting have a nonlinear counterpart. Significant challenges remain in multiple dimensions, and some of what has already been…

概率论 · 数学 2014-12-04 Erhan Bayraktar , Alexander Munk

In this Letter we study the effects of the Modified Uncertainty Principle as proposed in Ali et al. (2009) [5] in simple quantum mechanical systems and study its thermodynamic properties. We have assumed that the quantum particles follow…

广义相对论与量子宇宙学 · 物理学 2012-10-10 Barun Majumder , Sourav Sen

This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution…

统计方法学 · 统计学 2024-05-21 Alok Kumar Pandey , Alam Ali , Ashok Kumar Pathak