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A central problem in machine learning involves modeling complex data-sets using highly flexible families of probability distributions in which learning, sampling, inference, and evaluation are still analytically or computationally…

机器学习 · 计算机科学 2015-11-20 Jascha Sohl-Dickstein , Eric A. Weiss , Niru Maheswaranathan , Surya Ganguli

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that…

统计方法学 · 统计学 2020-03-30 Moritz Berger , Gerhard Tutz

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

统计方法学 · 统计学 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

The Sustainable Development Goals (SDGs) of the United Nations consist of 17 general objectives, subdivided into 169 targets to be achieved by 2030. Several SDG indices and indicators require continuous analysis and evaluation, and most of…

统计方法学 · 统计学 2025-08-26 João Inácio Scrimini , Cleber Bisognin , Renata Rojas Guerra , Fábio M. Bayer

Probability distributions in Stiefel manifold such as the von-Mises Fisher and Bingham distributions find diverse applications in signal processing and other applied sciences. Use of these statistical models in practice is complicated by…

统计理论 · 数学 2016-02-15 Lu Wei , Jukka Corander

Fertility plans, measured by the number of planned children, have been found to be affected by education and family background via complex tail dependencies. This challenge was previously met with the use of non-parametric jittering…

统计方法学 · 统计学 2019-11-18 Alina Peluso , Veronica Vinciotti , Keming Yu

Human migration exhibits complex spatiotemporal dependence driven by environmental and socioeconomic forces. Modeling such patterns at scale requires methods that accommodate many random effects while remaining feasible when raw data or…

统计方法学 · 统计学 2026-05-29 Lida Chalangar Jalili Dehkharghani , Li-Hsiang Lin

This paper is devoted to study a new three- parameters model called the Exponential Flexible Weibull extension (EFWE) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including…

统计理论 · 数学 2016-05-27 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

A new statistical approach has been developed to analyze Resistive Random Access Memory (RRAM) variability. The stochastic nature of the physical processes behind the operation of resistive memories makes variability one of the key issues…

介观与纳米尺度物理 · 物理学 2024-02-08 Christian Acal , Juan E. Ruiz-Castro , Ana M. Aguilera , Francisco Jiménez-Molinos , Juan B. Roldán

A generalization of the generalized inverse Weibull distribution so-called transmuted generalized inverse Weibull dis- tribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a…

统计方法学 · 统计学 2013-09-16 Faton Merovci , Ibrahim Elbatal , Alaa Ahmed

One of the major problems for maximum likelihood estimation in the well-established directional models is that the normalising constants can be difficult to evaluate. A new general method of "score matching estimation" is presented here on…

统计理论 · 数学 2016-04-29 Kanti V Mardia , John T Kent , Arnab K Laha

In directional statistics, the von Mises-Fisher (vMF) distribution is one of the most basic and popular probability distributions for data on the unit hypersphere. Recently, the spherical normal (SN) distribution was proposed as an…

统计方法学 · 统计学 2022-02-28 Kisung You

A sequence of random variables is exchangeable if its joint distribution is invariant under variable permutations. We introduce exchangeable variable models (EVMs) as a novel class of probabilistic models whose basic building blocks are…

机器学习 · 计算机科学 2014-05-06 Mathias Niepert , Pedro Domingos

This paper explores the extension of the classical two-parameter Weibull distribution to a four-parameter Harris extended Weibull (HEW) distribution. The flexibility of this probability distribution is illustrated by the varying shapes of…

统计方法学 · 统计学 2025-10-01 Prithul Chaturvedi , Himanshu Pokhriyal

Parametric distributions are an important part of statistics. There is now a voluminous literature on different fascinating formulations of flexible distributions. We present a selective and brief overview of a small subset of these…

统计理论 · 数学 2020-05-15 Sharon X. Lee , Geoffrey J. McLachlan

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

统计方法学 · 统计学 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

Continuous standard windowing is revisited and a new taper shape is introduced, which is based on the normal circular distribution by von Mises. Continuous-time windows are considered and their spectra obtained. A brief comparison with…

信号处理 · 电气工程与系统科学 2019-09-27 H. M. de Oliveira , F. Chaves

In complex systems, crucial parameters are often subject to unpredictable changes in time. Climate, biological evolution and networks provide numerous examples for such non-stationarities. In many cases, improved statistical models are…

统计金融 · 定量金融 2015-12-09 Frederik Meudt , Martin Theissen , Rudi Schäfer , Thomas Guhr

The occurrence of atypical circular observations on the torus can badly affect parameter estimation of the multivariate von Mises distribution. This paper addresses the problem of robust fitting of the multivariate von Mises model using the…

统计方法学 · 统计学 2026-03-04 Giulia Bertagnolli , Luca Greco , Claudio Agostinelli

Flexible Bayesian models are typically constructed using limits of large parametric models with a multitude of parameters that are often uninterpretable. In this article, we offer a novel alternative by constructing an exponentially tilted…

统计方法学 · 统计学 2023-03-20 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati