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Load-sharing systems arise in many different reliability applications, for instance, when modeling tensile strength of fibrous composites in textile industry or lifetimes of redundant technical systems in engineering. Sequential order…

Methodology · Statistics 2025-05-01 Stefan Bedbur , Johann Köhne , Fabian Mies

The Lindley distribution was first introduced by Lindley in 1958 for Bayesian computations. Over the past years, various generalizations of this distribution have been proposed by different authors. The generalized Lindley distributions…

Statistics Theory · Mathematics 2025-12-30 Afshin Yaghoubi , Esmaile Khorram , Omid Naghshineh Arjmand

This work presents a new model and estimation procedure for the illness-death survival data where the hazard functions follow accelerated failure time (AFT) models. A shared frailty variate induces positive dependence among failure times of…

Methodology · Statistics 2022-05-10 Lea Kats , Malka Gorfine

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…

Methodology · Statistics 2023-03-20 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

A reasonable segment of reliability theory is perpetrated to the study of failure rates, their properties, connections and applications. The present study focused on failure rate distributions and their shape properties. Failure rates of…

Statistics Theory · Mathematics 2021-07-22 Anakha K K , V M Chacko

In this paper, we introduce a new three-parameter distribution based on the combination of re-parametrization of the so-called EGNB2 and transmuted exponential distributions. This combination aims to modify the transmuted exponential…

Statistics Theory · Mathematics 2020-02-11 Christophe Chesneau , Hassan S. Bakouch , Muhammad Nauman Khan

Frailty models are essential tools in survival analysis for addressing unobserved heterogeneity and random effects in the data. These models incorporate a random effect, the frailty, which is assumed to impact the hazard rate…

Statistics Theory · Mathematics 2025-04-01 Jorge Yslas

The hidden variable formalism (based on the assumption of some intrinsic node parameters) turned out to be a remarkably efficient and powerful approach in describing and analyzing the topology of complex networks. Owing to one of its most…

Physics and Society · Physics 2019-08-13 Sámuel G. Balogh , Péter Pollner , Gergely Palla

Wind speed distribution has many applications, such as the assessment of wind energy and building design. Applying an appropriate statistical distribution to fit the wind speed data, especially on its heavy right tail, is of great interest.…

Applications · Statistics 2026-02-17 Tiantian Yang , Dongwei Chen

Modeling information spread through a network is one of the key problems of network analysis, with applications in a wide array of areas such as marketing and public health. Most approaches assume that the spread is governed by some…

Social and Information Networks · Computer Science 2025-11-03 Alexander Kagan , Elizaveta Levina , Ji Zhu

A new approach to adaptive design of clinical trials is proposed in a general multiparameter exponential family setting, based on generalized likelihood ratio statistics and optimal sequential testing theory. These designs are easy to…

Statistics Theory · Mathematics 2011-05-25 Jay Bartroff , Tze Leung Lai

We introduce a new family of one factor distributions for high-dimensional binary data. The model provides an explicit probability for each event, thus avoiding the numeric approximations often made by existing methods. Model interpretation…

Methodology · Statistics 2015-11-05 Matthieu Marbac , Mohammed Sedki

In this work, we explore the theoretical properties of conditional deep generative models under the statistical framework of distribution regression where the response variable lies in a high-dimensional ambient space but concentrates…

Statistics Theory · Mathematics 2026-02-02 Shivam Kumar , Yun Yang , Lizhen Lin

We study objective Bayesian inference for linear regression models with residual errors distributed according to the class of two-piece scale mixtures of normal distributions. These models allow for capturing departures from the usual…

Applications · Statistics 2016-05-09 F. J. Rubio , K. Yu

This work introduces a novel methodology based on finite mixtures of Student-t distributions to model the errors' distribution in linear regression models. The novelty lies on a particular hierarchical structure for the mixture distribution…

Methodology · Statistics 2017-11-15 Nívea B. da Silva , Marcos O. Prates , Flávio B. Gonçalves

In this survey we present an extensive research of the vast literature about the Generalized Lambda Distribution (GLD) and propose a hurdle, or two-way, model whose associated distribution is the GLD in order to meet the demand for a highly…

Applications · Statistics 2019-01-04 Diego Marcondes , Cláudia Peixoto , Ana Carolina Maia

Estimating the 3DoF rotation from a single RGB image is an important yet challenging problem. As a popular approach, probabilistic rotation modeling additionally carries prediction uncertainty information, compared to single-prediction…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Yingda Yin , Jiangran Lyu , Yang Wang , Haoran Liu , He Wang , Baoquan Chen

The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received…

Optimization and Control · Mathematics 2026-01-16 Yulin Feng , Hailang Jin , Steven X. Ding , Hao Ye , Chao Shang

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…

Statistics Theory · Mathematics 2014-10-29 Subrata Chakraborty , Dhrubajyoti Chakravarty

Given an IID sample from a positive distribution, we provide a method for constructing rigorous finite sample lower confidence bounds for the expectation of the distribution. The method is based on constructing rigorous confidence regions…

Statistics Theory · Mathematics 2008-10-27 Yoram Gat
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