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The essentials of fractional calculus according to different approaches that can be useful for our applications in the theory of probability and stochastic processes are established. In addition to this, from this fractional integral one…

数学物理 · 物理学 2013-07-31 Nicy Sebastian

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

统计方法学 · 统计学 2025-08-01 Jeonghwa Lee , Chloe Breece

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

应用统计 · 统计学 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

统计方法学 · 统计学 2018-05-23 Colman Humphrey , Dan Swingley

We propose a semiparametric model to study the effect of covariates on the distribution of a censored event time while making minimal assumptions about the censoring mechanism. The result is a partially identified model, in the sense that…

统计方法学 · 统计学 2025-03-19 Ilias Willems , Jad Beyhum , Ingrid Van Keilegom

Most work in neural networks focuses on estimating the conditional mean of a continuous response variable given a set of covariates.In this article, we consider estimating the conditional distribution function using neural networks for both…

统计方法学 · 统计学 2022-07-07 Bingqing Hu , Bin Nan

The lifetimes of subjects which are left-censored lie below a threshold value or a limit of detection. A popular tool used to handle left-censored data is the reversed hazard rate. In this work, we study the properties and develop…

统计理论 · 数学 2022-12-27 G. Asha , Durga Vasudevan

This paper studies the chance constrained fractional programming with a random benchmark. We assume that the random variables on the numerator follow the Gaussian distribution, and the random variables on the denominator and the benchmark…

最优化与控制 · 数学 2023-12-27 Tian Xia , Jia Liu

Many forecasting applications have a limited distributed target variable, which is zero for most observations and positive for the remaining observations. In the econometrics literature, there is much research about statistical model…

应用统计 · 统计学 2023-03-28 Björn Bokelmann , Stefan Lessmann

Reduced rank regression (RRR) is a widely employed model for investigating the linear association between multiple response variables and a set of predictors. While RRR has been extensively explored in various works, the focus has…

统计理论 · 数学 2024-04-30 The Tien Mai

In this paper, we propose a regression model where the response variable is beta prime distributed using a new parameterization of this distribution that is indexed by mean and precision parameters. The proposed regression model is useful…

统计方法学 · 统计学 2018-04-23 Marcelo Bourguignon , Manoel Santos-Neto , Mário de Castro

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

This paper addresses the task of modeling severity losses using segmentation when the data distribution does not fall into the usual regression frameworks. This situation is not uncommon in lines of business such as third-party liability…

应用统计 · 统计学 2021-11-29 Martin Bladt

The finite sensitivity of instruments or detection methods means that data sets in many areas of astronomy, for example cosmological or exoplanet surveys, are necessarily systematically incomplete. Such data sets, where the population being…

天体物理仪器与方法 · 物理学 2020-10-14 Adam B. Mantz

We analyze the fluctuation of the loss from default around its large portfolio limit in a class of reduced-form models of correlated firm-by-firm default timing. We prove a weak convergence result for the fluctuation process and use it for…

概率论 · 数学 2015-02-20 Konstantinos Spiliopoulos , Justin A. Sirignano , Kay Giesecke

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

统计理论 · 数学 2024-11-22 Clément Dombry , Ahmed Zaoui

Density regression characterizes the conditional density of the response variable given the covariates, and provides much more information than the commonly used conditional mean or quantile regression. However, it is often computationally…

统计方法学 · 统计学 2022-06-15 Yunlu Chen , Nan Zhang

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Biased sampling designs can be highly efficient when studying rare (binary) or low variability (continuous) endpoints. We consider longitudinal data settings in which the probability of being sampled depends on a repeatedly measured…

统计方法学 · 统计学 2020-01-14 Lee S. McDaniel , Jonathan S. Schildcrout , Enrique F. Schisterman , Paul J. Rathouz

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

数据结构与算法 · 计算机科学 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi
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