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Logistic regression model is widely used in many studies to investigate the relationship between a binary response variable $Y$ and a set of potential predictors $\mathbf X$. The binary response may represent, for example, the occurrence of…

Methodology · Statistics 2021-05-04 Aba Diop , El Hadji Deme , Aliou Diop

Correlated binary response data with covariates are ubiquitous in longitudinal or spatial studies. Among the existing statistical models the most well-known one for this type of data is the multivariate probit model, which uses a Gaussian…

Methodology · Statistics 2021-01-08 Zhongwei Zhang , Reinaldo B. Arellano-Valle , Marc G. Genton , Raphaël Huser

For the binary regression, the use of symmetrical link functions are not appropriate when we have evidence that the probability of success increases at a different rate than decreases. In these cases, the use of link functions based on the…

Methodology · Statistics 2024-07-23 João Victor B. de Freitas , Caio L. N. Azevedo

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

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

Applications · Statistics 2016-01-12 Francisco J. Rubio , Marc G. Genton

This research develops a Bayesian framework for analyzing failure times using the Weibull distribution, addressing challenges in prior selection due to the lack of conjugate priors and multi-dimensional sufficient statistics. We propose an…

Methodology · Statistics 2025-06-16 Tobias Oketch , Mohammad Sepehrifar

In the information system research, a question of particular interest is to interpret and to predict the probability of a firm to adopt a new technology such that market promotions are targeted to only those firms that were more likely to…

Applications · Statistics 2011-01-10 Xia Wang , Dipak K. Dey

Traditional survival analysis techniques focus on the occurrence of failures over the time. During analysis of such events, ignoring the related unobserved covariates or heterogeneity involved in data sample may leads us to adverse…

Methodology · Statistics 2021-12-22 Shikhar Tyagi , Arvind Pandey , David D Hanagal

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

Generalized linear models (GLMs) are popular for data-analysis in almost all quantitative sciences, but the choice of likelihood family and link function is often difficult. This motivates the search for likelihoods and links that minimize…

Methodology · Statistics 2024-03-19 Maximilian Scholz , Paul-Christian Bürkner

Generalized linear models (GLMs) form one of the most popular classes of models in statistics. The gamma variant is used, for instance, in actuarial science for the modelling of claim amounts in insurance. A flaw of GLMs is that they are…

Methodology · Statistics 2024-02-12 Philippe Gagnon , Yuxi Wang

Regression models for dichotomous data are ubiquitous in statistics. Besides being useful for inference on binary responses, these methods serve also as building blocks in more complex formulations, such as density regression, nonparametric…

Methodology · Statistics 2019-11-19 Daniele Durante

We study the application of dynamic pricing to insurance. We view this as an online revenue management problem where the insurance company looks to set prices to optimize the long-run revenue from selling a new insurance product. We develop…

Econometrics · Economics 2019-07-12 Yuqing Zhang , Neil Walton

In a longitudinal study, measures of key variables might be incomplete or partially recorded due to drop-out, loss to follow-up, or early termination of the study occurring before the advent of the event of interest. In this paper, we focus…

Methodology · Statistics 2020-08-19 Roland A. Matsouaka , Folefac D. Atem

This paper introduces link functions for transforming one probability distribution to another such that the Kullback-Leibler and R\'enyi divergences between the two distributions are symmetric. Two general classes of link models are…

Machine Learning · Statistics 2020-08-12 Majid Asadi , Karthik Devarajan , Nader Ebrahimi , Ehsan Soofi , Lauren Spirko-Burns

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

Generalized linear models (GLMs) are routinely used for modeling relationships between a response variable and a set of covariates. The simple form of a GLM comes with easy interpretability, but also leads to concerns about model…

Methodology · Statistics 2023-11-10 Davide Agnoletto , Tommaso Rigon , David B. Dunson

We introduce a binary regression accounting-based model for bankruptcy prediction of small and medium enterprises (SMEs). The main advantage of the model lies in its predictive performance in identifying defaulted SMEs. Another advantage,…

Methodology · Statistics 2013-12-11 Raffaella Calabrese , Giampiero Marra , Silvia Angela Osmetti

Rapid advancements in genome sequencing have led to the collection of vast amounts of genomics data. Researchers may be interested in using machine learning models on such data to predict the pathogenicity or clinical significance of a…

Quantitative Methods · Quantitative Biology 2024-08-15 Arshmeet Kaur , Morteza Sarmadi

Class distribution skews in imbalanced datasets may lead to models with prediction bias towards majority classes, making fair assessment of classifiers a challenging task. Metrics such as Balanced Accuracy are commonly used to evaluate a…

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