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One of the commonly used approaches to capture dependence in multivariate survival data is through the frailty variables. The identifiability issues should be carefully investigated while modeling multivariate survival with or without…

统计方法学 · 统计学 2024-07-03 Biswadeep Ghosh , Anup Dewanji , Sudipta Das

In this paper we introduce a mixture cure model with a linear hazard rate regression model for the event times. Cure models are statistical models for event times that take into account that a fraction of the population might never…

统计理论 · 数学 2020-11-26 Emil Aas Stoltenberg

A gamma process dynamic Poisson factor analysis model is proposed to factorize a dynamic count matrix, whose columns are sequentially observed count vectors. The model builds a novel Markov chain that sends the latent gamma random variables…

机器学习 · 统计学 2015-12-31 Ayan Acharya , Joydeep Ghosh , Mingyuan Zhou

This article introduces a non parametric warping model for functional data. When the outcome of an experiment is a sample of curves, data can be seen as realizations of a stochastic process, which takes into account the small variations…

统计理论 · 数学 2008-12-18 Jean-François Dupuy , Jean-Michel Loubes , Elie Maza

Fluvial floods drive severe risk to riverine communities. There is a strong evidence of increasing flood hazards in many regions around the world. The choice of methods and assumptions used in flood hazard estimates can impact the design of…

This paper considers the practically important case of nonparametrically estimating heterogeneous average treatment effects that vary with a limited number of discrete and continuous covariates in a selection-on-observables framework where…

计量经济学 · 经济学 2019-08-26 Michael Zimmert , Michael Lechner

The front-door criterion is an identification strategy for the intervention-specific mean outcome in settings where the standard back-door criterion fails due to unmeasured exposure-outcome confounders, but an intermediate variable exists…

统计方法学 · 统计学 2026-03-17 Marie S. Breum , Helene C. W. Rytgaard , Torben Martinussen , Erin E. Gabriel

Objectives: To evaluate the consequences of the framing of machine learning risk prediction models. We evaluate how framing affects model performance and model learning in four different approaches previously applied in published…

Hereby we propose a Bayesian method of estimation for the semiparametric Additive Hazards Model (AHM) from Survival Analysis under right-censoring. With this aim, we review the AHM revisiting the likelihood function, so as to comment on the…

统计方法学 · 统计学 2025-05-28 Enrique Ernesto Álvarez , Maximiliano Luis Riddick

Nonparametric maximum likelihood estimators (MLEs) in inverse problems often have non-normal limit distributions, like Chernoff's distribution. However, if one considers smooth functionals of the model, with corresponding functionals of the…

统计理论 · 数学 2023-10-24 Piet Groeneboom

Datasets containing large samples of time-to-event data arising from several small heterogeneous groups are commonly encountered in statistics. This presents problems as they cannot be pooled directly due to their heterogeneity or analyzed…

机器学习 · 统计学 2016-12-05 Alexandre Piché , Russell Steele , Ian Shrier , Stephanie Long

Performative prediction, as introduced by Perdomo et al, is a framework for studying social prediction in which the data distribution itself changes in response to the deployment of a model. Existing work in this field usually hinges on…

机器学习 · 计算机科学 2024-08-14 Yatong Chen , Wei Tang , Chien-Ju Ho , Yang Liu

The failure rate function plays an important role in studying the lifetime distributions in reliability theory and life testing models. A study of the general failure rate model $r(t)=a+bt^{\theta-1}$, under squared error loss function…

统计计算 · 统计学 2014-05-23 Asok K. Nanda , Sudhansu S. Maiti , Chanchal Kundu , Amarjit Kundu

While there is an increasing amount of literature about Bayesian time series analysis, only a few Bayesian nonparametric approaches to multivariate time series exist. Most methods rely on Whittle's Likelihood, involving the second order…

统计方法学 · 统计学 2018-11-27 Alexander Meier , Claudia Kirch , Renate Meyer

Gaussian processes have become a promising tool for various safety-critical settings, since the posterior variance can be used to directly estimate the model error and quantify risk. However, state-of-the-art techniques for safety-critical…

机器学习 · 计算机科学 2022-07-22 Alexandre Capone , Armin Lederer , Sandra Hirche

A new class of dependent random measures which we call {\it compound random measures} are proposed and the use of normalized versions of these random measures as priors in Bayesian nonparametric mixture models is considered. Their…

统计方法学 · 统计学 2015-09-03 Jim E. Griffin , Fabrizio Leisen

This study explores heated wavy wall shape design in channel flow using machine learning, aiming to minimize temperature variation ($\sigma_T$) while limiting pressure loss ($\Delta p$). A cost function $J$ defined as a product of…

流体动力学 · 物理学 2025-09-05 Piotr Kamiński , Karol Wawrzak , Yiqing Li , Bernd R. Noack , Artur Tyliszczak

For time-to-event data with finitely many competing risks, the proportional hazards model has been a popular tool for relating the cause-specific outcomes to covariates [Prentice et al. Biometrics 34 (1978) 541--554]. This article studies…

统计理论 · 数学 2009-03-04 Yanqing Sun , Peter B. Gilbert , Ian W. McKeague

Nonparametric estimators for the mean and the covariance functions of functional data are proposed. The setup covers a wide range of practical situations. The random trajectories are, not necessarily differentiable, have unknown regularity,…

统计理论 · 数学 2025-02-13 Steven Golovkine , Nicolas Klutchnikoff , Valentin Patilea

Consider a Poisson point process with unknown support boundary curve $g$, which forms a prototype of an irregular statistical model. We address the problem of estimating non-linear functionals of the form $\int \Phi(g(x))\,dx$. Following a…

统计理论 · 数学 2019-02-13 Markus Reiß , Martin Wahl