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Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

Many datasets are observed on a finite set of equally spaced directions instead of the exact angles, such as the wind direction data. However, in the statistical literature, bivariate models are only available for continuous circular random…

Methodology · Statistics 2026-02-16 Brajesh Kumar Dhakad , Jayant Jha , Debepsita Mukherjee

Usual estimation methods for the parameters of extreme values distribution employ only a few values, wasting a lot of information. More precisely, in the case of the Gumbel distribution, only the block maxima values are used. In this work,…

Data Analysis, Statistics and Probability · Physics 2019-02-22 Rubén Gómez González , M. Isabel Parra , Francisco Javier Acero , Jacinto Martín

The aim of the present work is to investigate the performances of a specific Bayesian control chart used to compare two processes. The chart monitors the ratio of the percentiles of a key characteristic associated with the processes. The…

Computation · Statistics 2015-07-07 Pasquale Erto

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…

Statistics Theory · Mathematics 2016-01-07 Deepesh Bhati , Mohd. Aamir Malik , K. K. Jose

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

Recently, the modified BFW model on random graph [Phys. Rev. Lett., 106, 115701 (2011)], which shows a strongly discontinuous percolation transition with multiple giant components, has attracted much attention from physicists, statisticians…

Mathematical Physics · Physics 2014-12-18 Renquan Zhang , Wei Wei , Binghui Guo , Yang Zhang , Zhiming Zheng

This paper proposes factor stochastic volatility models with skew error distributions. The generalized hyperbolic skew t-distribution is employed for common-factor processes and idiosyncratic shocks. Using a Bayesian sparsity modeling…

Methodology · Statistics 2019-03-27 Jouchi Nakajima

Randomized algorithms sometimes employ a restart strategy. After a certain number of steps, the current computation is aborted and restarted with a new, independent random seed. In some cases, this results in an improved overall expected…

Data Structures and Algorithms · Computer Science 2019-04-29 Jan-Hendrik Lorenz

Two approaches are suggested to the definition of asymmetric generalized Weibull distribution. These approaches are based on the representation of the two-sided Weibull distributions as variance-mean normal mixtures or more general…

Probability · Mathematics 2015-06-23 Victor Korolev , Lily Kurmangazieva , Alexander Zeifman

Quantile Factor Models (QFM) represent a new class of factor models for high-dimensional panel data. Unlike Approximate Factor Models (AFM), where only location-shifting factors can be extracted, QFM also allow to recover unobserved factors…

Econometrics · Economics 2020-09-24 Liang Chen , Juan Jose Dolado , Jesus Gonzalo

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…

Statistics Theory · Mathematics 2021-07-21 M. Arshad , M. Khetan , V. Kumar , A. K. Pathak

Signals coming from multivariate higher order conditional moments as well as the information contained in exogenous covariates, can be effectively exploited by rational investors to allocate their wealth among different risky investment…

Portfolio Management · Quantitative Finance 2016-01-21 Mauro Bernardi , Leopoldo Catania

A 2022 paper arXiv:2009.10305v4 introduced the notion of true positive and negative skewness for continuous random variables via Fr\'echet $p$-means. In this work, we find novel criteria for true skewness, establish true skewness for the…

Probability · Mathematics 2022-09-23 Yevgeniy Kovchegov , Alex Negrón , Clarice Pertel , Christopher Wang

The generalised extreme value (GEV) distribution is a three parameter family that describes the asymptotic behaviour of properly renormalised maxima of a sequence of independent and identically distributed random variables. If the shape…

Applications · Statistics 2022-05-10 Daniela Castro-Camilo , Raphaël Huser , Håvard Rue

This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this formula we deduce, using probabilistic approaches, lower and…

Probability · Mathematics 2026-01-14 Jakub Gismatullin , Patrick Tardivel

We introduce a general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions. We show that this class of distributions is very flexible, easy to implement, and…

Applications · Statistics 2015-11-06 Francisco J. Rubio , Yili Hong

Protein distributions measured under a broad set of conditions in bacteria and yeast were shown to exhibit a common skewed shape, with variances depending quadratically on means. For bacteria these properties were reproduced by temporal…

Biological Physics · Physics 2015-10-28 Naama Brenner , C. M. Newman , Dino Osmanovic , Yitzhak Rabin , Hanna Salman , D. L. Stein

The continuous time random walk model plays an important role in modeling of so called anomalous diffusion behaviour. One of the specific property of such model are constant time periods visible in trajectory. In the continuous time random…

Data Analysis, Statistics and Probability · Physics 2017-01-04 Rafał Połoczański , Agnieszka Wyłomańska , Janusz Gajda , Monika Maciejewska , Andrzej Szczurek

According to Benford's Law, many data sets have a bias towards lower leading digits (about $30\%$ are $1$'s). The applications of Benford's Law vary: from detecting tax, voter and image fraud to determining the possibility of match-fixing…

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