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This paper presents a new methodology for generating continuous statistical distributions, integrating the exponentiated odds ratio within the framework of survival analysis. This new method enhances the flexibility and adaptability of…

Statistics Theory · Mathematics 2024-02-28 Xinyu Chen , Yuanqi Xie , Achraf Cohen , Shusen Pu

In this paper we derive the maximum entropy characteristics of a particular rank order distribution, namely the discrete generalized beta distribution, which has recently been observed to be extremely useful in modelling many several…

Physics and Society · Physics 2019-09-30 Abhik Ghosh , Preety Shreya , Banasri Basu

Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the…

Neurons and Cognition · Quantitative Biology 2015-10-15 Z. Liu , O. Pavlov Garcia , J. G. Holden , R. A. Serota

We examine some distributions used extensively within the model-based clustering literature in recent years, paying special attention to} claims that have been made about their relative efficacy. Theoretical arguments are provided as well…

Statistics Theory · Mathematics 2015-12-07 Adelchi Azzalini , Ryan P. Browne , Marc G. Genton , Paul D. McNicholas

This paper offers a two-pronged critique of the empirical investigation of the income distribution performed by physicists over the past decade. Their finding rely on the graphical analysis of the observed distribution of normalized…

Econometrics · Economics 2018-04-18 Markus P. A. Schneider

Whether a scientific paper is cited is related not only to the influence of its author(s) but also to the journal publishing it. Scientists, either proficient or tender, usually submit their most important work to prestigious journals which…

Physics and Society · Physics 2014-05-12 Zheng Yao , Xiao-Long Peng , Li-Jie Zhang , Xin-Jian Xu

A generalized so called magnetically controlled ballistic rain-like deposition (MBD) model of granular piles has been numerically investigated in 2D. The grains are taken to be elongated disks whence characterized by a two-state scalar…

Statistical Mechanics · Physics 2016-08-31 K. Trojan , M. Ausloos , R. Cloots

Laplace distribution is popular in the field of economics and finance. Still, data sets often show a lack of symmetry and a tendency of being bounded from either side of their support. In view of this, we introduce a new family of skew…

Statistics Theory · Mathematics 2024-06-18 Raju. K. Lohot , V. U. Dixit

A continuous approximation for the results of [1] is obtained. In this approximation the energy distribution is represented in the form of the product of the Gibbs factor and superstatistics factor. The mutual weights of the factors are…

Chemical Physics · Physics 2007-05-23 V. V. Ryazanov

In this paper we recall for physicists how it is possible, using the principle of maximization of the Boltzmann-Shannon entropy, to derive the Burr-Bingh-Maddala (burr12) double power law probability distribution function and its…

Disordered Systems and Neural Networks · Physics 2016-04-19 F. Brouers

We study the power of fractional allocations of resources to maximize influence in a network. This work extends in a natural way the well-studied model by Kempe, Kleinberg, and Tardos (2003), where a designer selects a (small) seed set of…

Computer Science and Game Theory · Computer Science 2014-01-31 Erik D. Demaine , MohammadTaghi Hajiaghayi , Hamid Mahini , David L. Malec , S. Raghavan , Anshul Sawant , Morteza Zadimoghadam

In this article, we first introduced the inflated unit Lindley distribution considering zero or/and one inflation scenario and studied its basic distributional and structural properties. Both the distributions are shown to be members of…

Methodology · Statistics 2021-03-17 Subrata Chakraborty , Sahana Bhattacharjee

In the present paper new light is shed on the non-central extensions of the Dirichlet distribution. Due to several probabilistic and inferential properties and to the easiness of parameter interpretation, the Dirichlet distribution proves…

Statistics Theory · Mathematics 2021-08-02 Carlo Orsi

This article aims to introduced a new distribution named as extended xgamma (EXg) distribution. This generalization is derived from xgamma distribution (Xg), a special finite mixture of exponential and gamma distributions [see, Sen et al.…

Statistics Theory · Mathematics 2019-09-04 Mahendra Saha , Abhimanyu Singh Yadav , Arvind Pandey , Shivanshi Shukla , Sudhansu S Maiti

Some new survival distributions are introduced based on a generalised exponential function. This class of distributions includes heavy-tailed generalisations of exponential, Weibull and gamma distributions. Properties of the distributions…

Methodology · Statistics 2014-12-03 Rose Baker

We study the problem of estimating the distribution of effect sizes (the mean of the test statistic under the alternate hypothesis) in a multiple testing setting. Knowing this distribution allows us to calculate the power (type II error) of…

Machine Learning · Statistics 2020-07-28 Jennifer Brennan , Ramya Korlakai Vinayak , Kevin Jamieson

For an m-dimensional multivariate extreme value distribution there exist 2^{m}-1 exponent measures which are linked and completely characterise the dependence of the distribution and all of its lower dimensional margins. In this paper we…

Statistics Theory · Mathematics 2012-11-01 Ioannis Papastathopoulos , Jonathan A. Tawn

This paper explores the possibility of establishing an analytic form of the distribution of the order parameter fluctuations in a two-dimensional critical spin wave model, or width fluctuations of a two dimensional Edwards-Wilkinson…

Statistical Mechanics · Physics 2022-04-13 Steven T. Bramwell

We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either (i) with probability $p$ an incoming agent…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. J. Rodgers , Dafang Zheng

There are many factors that can influence the outcome of an election. We here identify two dominant effects that can affect the votes obtained by a candidate, namely, the Majority Effect and the Media Effect. We mimic these two effects in a…

Physics and Society · Physics 2009-11-10 Chung-I Chou , Sai-Ping Li
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