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The recent success of large foundation models in artificial intelligence has prompted the emergence of chemical pre-trained models. Despite the growing interest in large molecular pre-trained models that provide informative representations…

Machine Learning · Computer Science 2025-05-26 Jinho Chang , Jong Chul Ye

This paper investigates the moment monotonicity property of Weibull, Gamma, and Log-normal distributions. We provide the first complete mathematical proofs for the monotonicity of the function $E(X^n)^{\frac{1}{n}}$ specific to these…

Statistics Theory · Mathematics 2025-02-18 Kang Liu

This paper deals with Elliptical Wishart distributions - which generalize the Wishart distribution - in the context of signal processing and machine learning. Two algorithms to compute the maximum likelihood estimator (MLE) are proposed: a…

Machine Learning · Statistics 2024-11-06 Imen Ayadi , Florent Bouchard , Frédéric Pascal

This paper introduces an extension to the normal distribution through the polar method to capture bimodality and asymmetry, which are often observed characteristics of empirical data. The later two features are entirely controlled by a…

Statistics Theory · Mathematics 2020-08-31 Masoud Faridi , Majid Jafari Khaledi

Capturing complex dependence structures between outcome variables (e.g., study endpoints) is of high relevance in contemporary biomedical data problems and medical research. Distributional copula regression provides a flexible tool to model…

Methodology · Statistics 2022-02-28 Nicolai Hans , Nadja Klein , Florian Faschingbauer , Michael Schneider , Andreas Mayr

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

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

The beta distribution is a basic distribution serving several purposes. It is used to model data, and also, as a more flexible version of the uniform distribution, it serves as a prior distribution for a binomial probability. The bivariate…

Methodology · Statistics 2014-09-17 Ingram Olkin , Thomas A. Trikalinos

We consider statistical inference for a finite-dimensional parameter in a regular semiparametric model under a distributed setting with blockwise missingness, where entire blocks of variables are unavailable at certain sites and sharing…

Methodology · Statistics 2025-08-26 Jingyue Huang , Huiyuan Wang , Yuqing Lei , Yong Chen

Molecules have a number of distinct properties whose importance and application vary. Often, in reality, labels for some properties are hard to achieve despite their practical importance. A common solution to such data scarcity is to use…

Machine Learning · Computer Science 2024-10-02 Chanhui Lee , Dae-Woong Jeong , Sung Moon Ko , Sumin Lee , Hyunseung Kim , Soorin Yim , Sehui Han , Sungwoong Kim , Sungbin Lim

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

Methodology · Statistics 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov

The proportional hazards model represents the most commonly assumed hazard structure when analysing time to event data using regression models. We study a general hazard structure which contains, as particular cases, proportional hazards,…

Methodology · Statistics 2018-05-24 Francisco J. Rubio , Laurent Remontet , Nicholas P. Jewell , Aurélien Belot

In this paper, we present a Weibull link (skewed) model for categorical response data arising from binomial as well as multinomial model. We show that, for such types of categorical data, the most commonly used models (logit, probit and…

Methodology · Statistics 2018-04-04 Renault Caron , Debajyoti Sinha , Dipak Dey , Adriano Polpo

In this paper, we consider the problem of the estimation of a Weibull tail-coefficient. In particular, we propose a regression model, from which we derive a bias-reduced estimator. This estimator is based on a least-squares approach. The…

Statistics Theory · Mathematics 2011-04-01 J. Diebolt , L. Gardes , S. Girard , A. Guillou

Several researchers have described two-part models with patient-specific stochastic processes for analysing longitudinal semicontinuous data. In theory, such models can offer greater flexibility than the standard two-part model with…

Applications · Statistics 2017-03-28 Sean Yiu , Brian Tom

Stochastic ordering of distributions of random variables may be defined by the relative convexity of the tail functions. This has been extended to higher order stochastic orderings, by iteratively reassigning tail-weights. The actual…

Statistics Theory · Mathematics 2017-03-14 Idir Arab , Paulo Eduardo Oliveira

In this paper, we present an approach for modeling bio-tissues that incorporates the variability in properties as part of their characteristics. This is achieved by considering the parameters of the model of a biomaterial to themselves be…

Tissues and Organs · Quantitative Biology 2013-12-11 Srikrishna Doraiswamy , Arun R. Srinivasa

The first step in statistical reliability studies of coherent systems is the estimation of the reliability of each system component. For the cases of parallel and series systems the literature is abundant. It seems that the present paper is…

In this paper, we introduce a new distribution called Burr III-Weibull(BW) distribution using the concept of competing risk. We derive moments, conditional moments, mean deviation and quantiles of the proposed distribution. Also the Renyi's…

Statistics Theory · Mathematics 2021-03-08 G S Deepthy , Nicy Sebastian , Reshma Rison