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In this note, we define a Gaussian probability distribution over matrices. We prove some useful properties of this distribution, namely, the fact that marginalization, conditioning, and affine transformations preserve the matrix Gaussian…

概率论 · 数学 2018-06-22 Shane Barratt

The Rosenblatt distribution appears as limit in non-central limit theorems. The generalized Rosenblatt distribution is obtained by allowing different power exponents in the kernel that defines the usual Rosenblatt distribution. We derive an…

概率论 · 数学 2015-05-15 Shuyang Bai , Murad S. Taqqu

Here, we introduce a new class of Lindley generated distributions which results in more flexible model with increasing failure rate (IFR), decreasing failure rate(DFR) and up-side down hazard functions for different choices of parametric…

统计理论 · 数学 2016-01-07 Deepesh Bhati , Mohd. Aamir Malik , K. K. Jose

We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005]…

统计理论 · 数学 2022-06-06 R. J. Cintra , L. C. Rêgo , G. M. Cordeiro , A. D. C. Nascimento

In general, the distribution of residuals cannot be obtained explicitly. We give an asymptotic formula for the density of Pearson residuals in continuous generalized linear models corrected to order $n^{-1}$, where $n$ is the sample size.…

统计方法学 · 统计学 2009-06-26 Gauss M. Cordeiro , Alexandre B. Simas

This paper is devoted to a fractional generalization of the Dirichlet distribution. The form of the multivariate distribution is derived assuming that the $n$ partitions of the interval $[0,W_n]$ are independent and identically distributed…

概率论 · 数学 2021-02-17 Elvira Di Nardo , Federico Polito , Enrico Scalas

Logistic regression models are widely used in the social and behavioral sciences and in high-stakes domains, due to their simplicity and interpretability properties. At the same time, such domains are permeated by distribution shifts, where…

机器学习 · 计算机科学 2025-03-18 Qingshi Sun , Nathan Justin , Andres Gomez , Phebe Vayanos

We introduce a new notion of generalization -- Distributional Generalization -- which roughly states that outputs of a classifier at train and test time are close *as distributions*, as opposed to close in just their average error. For…

机器学习 · 计算机科学 2020-10-16 Preetum Nakkiran , Yamini Bansal

In this study, recently introduced generalized distribution functions are summarized and by using one of these distribution functions, namely generalized Planck distribution, an alternative approach to the generalized Planck law for the…

统计力学 · 物理学 2015-06-25 Ugur Tirnakli , Fevzi Buyukkilic , Dogan Demirhan

The probability distributions of the order parameter for two models in the directed percolation universality class were evaluated. Monte Carlo simulations have been performed for the one-dimensional generalized contact process and the…

统计力学 · 物理学 2012-09-11 P. H. L. Martins

The characteristic function of the folded normal distribution and its moment function are derived. The entropy of the folded normal distribution and the Kullback--Leibler from the normal and half normal distributions are approximated using…

统计方法学 · 统计学 2014-02-17 Michail Tsagris , Christina Beneki , Hossein Hassani

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

统计方法学 · 统计学 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants,…

统计方法学 · 统计学 2024-08-30 Brijesh P. Singh , Utpal Dhar Das

We consider the problem of computing the joint distribution of order statistics of stochastically independent random variables in one- and two-group models. While recursive formulas for evaluating the joint cumulative distribution function…

统计计算 · 统计学 2018-12-24 Jonathan von Schroeder , Thorsten Dickhaus

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.…

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

物理与社会 · 物理学 2023-03-23 Zhidong He

These notes describe several loop soup models and their {\it universal behaviour} in dimensions greater or equal to 3. These loop models represent certain classical or quantum statistical mechanical systems. These systems undergo phase…

统计力学 · 物理学 2022-04-28 Daniel Ueltschi

The recent high level of interest in weighted complex networks gives rise to a need to develop new measures and to generalize existing ones to take the weights of links into account. Here we focus on various generalizations of the…

统计力学 · 物理学 2013-05-29 J. Saramaki , M. Kivela , J. -P. Onnela , K. Kaski , J. Kertesz

Husimi distributions and Wigner distributions are well-known quasi-probability distributions which appear in several contexts. In this paper, we show some remarkable aspects of these distribution functions related to geometric structures of…

量子物理 · 物理学 2011-01-28 Ryo Harada

Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

大气与海洋物理 · 物理学 2009-01-29 Jochen Bröcker
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