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Detecting changes is of fundamental importance when analyzing data streams and has many applications, e.g., in predictive maintenance, fraud detection, or medicine. A principled approach to detect changes is to compare the distributions of…

机器学习 · 计算机科学 2025-02-13 Florian Kalinke , Marco Heyden , Georg Gntuni , Edouard Fouché , Klemens Böhm

In most risk assessment studies, it is important to accurately capture the entire distribution of the multivariate random vector of interest from low to high values. For example, in climate sciences, low precipitation events may lead to…

统计方法学 · 统计学 2025-09-09 Noura Alotaibi , Matthew Sainsbury-Dale , Philippe Naveau , Carlo Gaetan , Raphaël Huser

The analysis of panel count data has garnered considerable attention in the literature, leading to the development of multiple statistical techniques. In inferential analysis, most works focus on leveraging estimating equation-based…

统计方法学 · 统计学 2025-10-08 Udita Goswami , Shuvashree Mondal

In numerous instances, the generalized exponential distribution can be used as an alternative to the most widely used non-regular family of distributions: Weibull, gamma, lognormal with three-parameters when analyzing lifetime or any skewed…

统计方法学 · 统计学 2026-03-03 Kiran Prajapat , Sharmishtha Mitra , Debasis Kundu

Modelling of precipitation, including extremes, is important for hydrological and agricultural applications. Traditionally, because of large sample properties for data over a large threshold value, generalised Pareto (GP) distributions are…

应用统计 · 统计学 2014-11-11 Yang Liu , Philip Kokic , K. Shuvo Bakar

Modeling the risk of extreme weather events in a changing climate is essential for developing effective adaptation and mitigation strategies. Although the available low-resolution climate models capture different scenarios, accurate risk…

大气与海洋物理 · 物理学 2022-12-06 Anamitra Saha , Sai Ravela

In this paper we introduce the exponentiated Weibull power series (EWPS) class of distributions which is obtained by compounding exponentiated Weibull and power series distributions, where the compounding procedure follows same way that was…

统计方法学 · 统计学 2012-12-27 Eisa Mahmoudi , Mitra Shiran

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

Outliers can seriously distort statistical inference by inducing excessive sensitivity in the likelihood function, thereby compromising the reliability of Bayesian estimation. To address this issue, we develop a robust Bayesian estimation…

统计理论 · 数学 2026-02-09 Jeongho Lee , Junmo Song

Families of mixtures of multivariate power exponential (MPE) distributions have been previously introduced and shown to be competitive for cluster analysis in comparison to other elliptical mixtures including mixtures of Gaussian…

统计计算 · 统计学 2023-01-24 Utkarsh J. Dang , Michael P. B. Gallaugher , Ryan P. Browne , Paul D. McNicholas

We propose a minimum distance estimator (MDE) for parameter identification in misspecified models characterized by a sequence of ergodic stochastic processes that converge weakly to the model of interest. The data is generated by the…

统计方法学 · 统计学 2025-06-17 Jaroslav I. Borodavka , Sebastian Krumscheid , Grigorios A. Pavliotis

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

A generative diffusion model is used to produce probabilistic ensembles of precipitation intensity maps at the 1-hour 5-km resolution. The generation is conditioned on infrared and microwave radiometric measurements from the GOES and DMSP…

Laboratory experiments and theoretical modelling are conducted to determine the raindrop size distribution (DSD) resulting from distinct fragmentation processes under various upward airstreams. Since weather radar echoes are proportional to…

Due to its heavy-tailed and fully parametric form, the multivariate generalized Gaussian distribution (MGGD) has been receiving much attention for modeling extreme events in signal and image processing applications. Considering the…

应用统计 · 统计学 2017-02-27 F. Pascal , L. Bombrun , J. Y. Tourneret , Y. Berthoumieu

Diffusion models have been widely adopted in image generation, producing higher-quality and more diverse samples than generative adversarial networks (GANs). We introduce a latent diffusion model (LDM) for precipitation nowcasting -…

大气与海洋物理 · 物理学 2023-04-26 Jussi Leinonen , Ulrich Hamann , Daniele Nerini , Urs Germann , Gabriele Franch

In [1], we introduced a new, matrix algebraic, performance analysis framework for wireless systems with fading channels based on the matrix exponential distribution. The main idea was to use the compact, powerful, and easy-to-use, matrix…

信息论 · 计算机科学 2016-12-21 Peter Larsson , Lars K. Rasmussen , Mikael Skoglund

In this paper we propose a new four-parameters distribution with increasing, decreasing, bathtub-shaped and unimodal failure rate, called as the exponentiated Weibull-Poisson (EWP) distribution. The new distribution arises on a latent…

统计方法学 · 统计学 2012-12-24 Eisa Mahmoudi , Afsaneh Sepahdar

This work aims at making a comprehensive contribution in the general area of parametric inference for discretely observed diffusion processes. Established approaches for likelihood-based estimation invoke a time-discretisation scheme for…

统计方法学 · 统计学 2024-01-30 Yuga Iguchi , Alexandros Beskos , Matthew M. Graham

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…