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This paper presents a new class of probability distributions generated from the gamma distribution. For the new class proposed, we present several statistical properties, such as the risk function, the density expansions, Moment-generating…

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…

统计理论 · 数学 2015-09-02 Subrata Chakraborty , Tomoaki Imoto

We study here a standard next-nearest-neighbor (NNN) model of ballistic growth on one- and two-dimensional substrates focusing our analysis on the probability distribution function $P(M,L)$ of the number $M$ of maximal points (i.e., local…

统计力学 · 物理学 2007-05-23 F. Hivert , S. Nechaev , G. Oshanin , O. Vasilyev

Regression models have a substantial impact on interpretation of treatments, genetic characteristics and other potential risk factors in survival analysis. In many applications, the description of censoring and survival curve reveals the…

统计方法学 · 统计学 2026-03-24 Dionisio Alves-Neto , Vera Lucia Tomazella , Adriano Suzuki , Danilo Alvares

A discrete-time stochastic process derived from a model of basketball is used to generalize any discrete distribution. The generalized distributions can have one or two more parameters than the parent distribution. Those derived from…

应用统计 · 统计学 2020-06-25 Rose Baker

We introduce an \verb|R| package, called \verb|MPS|, for computing the probability density function, computing the cumulative distribution function, computing the quantile function, simulating random variables, and estimating the parameters…

统计计算 · 统计学 2018-09-11 Mahdi Teimouri

Using the recently perfected sea-boson method, we compute the momentum distribution of the one-band Hubbard model in one and two spatial dimensions. We compute the asymptotic features of the momentum distribution explicitly away from half…

强关联电子 · 物理学 2007-05-23 Girish S. Setlur

Transmuted geometric distribution (TGD) was recently introduced and investigated by Chakraborty and Bhati (2016). This is a flexible extension of geometric distribution having an additional parameter that determines its zero inflation as…

统计方法学 · 统计学 2016-10-25 Subrata Chakraborty , Deepesh Bhati

Performative distribution shift captures the setting where the choice of which ML model is deployed changes the data distribution. For example, a bank which uses the number of open credit lines to determine a customer's risk of default on a…

机器学习 · 计算机科学 2021-02-17 Zachary Izzo , Lexing Ying , James Zou

We introduce a Markov Chain Monte Carlo (MCMC) algorithm to generate samples from probability distributions supported on a $d$-dimensional lattice $\Lambda = \mathbf{B}\mathbb{Z}^d$, where $\mathbf{B}$ is a full-rank matrix. Specifically,…

统计计算 · 统计学 2021-01-27 Anand Jerry George , Navin Kashyap

Birnbaum-Saunders models have been widely used to model positively skewed data. In this paper, we introduce a bivariate Birnbaum-Saunders distribution which has the means as parameters. We present some properties of the univariate and…

统计方法学 · 统计学 2018-05-01 Helton Saulo , Jeremias Leão , Roberto Vila , Victor Leiva , Vera Tomazella

The linear exponential distribution is a generalization of the exponential and Rayleigh distributions. This distribution is one of the best models to fit data with increasing failure rate (IFR). But it does not provide a reasonable fit for…

统计理论 · 数学 2021-07-21 M. Arshad , M. Khetan , V. Kumar , A. K. Pathak

The beta distribution is the best-known distribution for modelling doubly-bounded data, \eg percentage data or probabilities. A new generalization of the beta distribution is proposed, which uses a cubic transformation of the beta random…

统计方法学 · 统计学 2016-12-19 Rose Baker

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…

统计理论 · 数学 2014-10-29 Subrata Chakraborty , Dhrubajyoti Chakravarty

In this paper a new generalization of the hyper-Poisson distribution is proposed using the Mittag-Leffler function. The hyper-Poisson, displaced Poisson, Poisson and geometric distributions among others are seen as particular cases. This…

统计理论 · 数学 2014-11-05 Subrata Chakraborty , S. H. Ong

The multivariate generalized Gaussian distribution (MGGD), also known as the multivariate exponential power (MEP) distribution, is widely used in signal and image processing. However, estimating MGGD parameters, which is required in…

统计方法学 · 统计学 2023-12-13 Nora Ouzir , Frédéric Pascal , Jean-Christophe Pesquet

To improve nonparametric estimates of lifetime distributions, we propose using the increasing odds rate (IOR) model as an alternative to other popular, but more restrictive, ``adverse ageing'' models, such as the increasing hazard rate one.…

统计方法学 · 统计学 2022-12-13 Tommaso Lando , Idir Arab , Paulo Eduardo Oliveira

The Gumbel-Softmax probability distribution allows learning discrete tokens in generative learning, while the Gumbel-Argmax probability distribution is useful in learning discrete structures in discriminative learning. Despite the efforts…

机器学习 · 计算机科学 2024-06-05 Hedda Cohen Indelman , Tamir Hazan

The Birnbaum-Saunders distribution has been used quite effectively to model times to failure for materials subject to fatigue and for modeling lifetime data. In this paper we obtain asymptotic expansions, up to order $n^{-1/2}$ and under a…

统计方法学 · 统计学 2011-11-22 Artur Lemonte , Silvia Ferrari

The g-and-k and (generalised) g-and-h distributions are flexible univariate distributions which can model highly skewed or heavy tailed data through only four parameters: location and scale, and two shape parameters influencing the skewness…

统计计算 · 统计学 2017-06-22 Dennis Prangle