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Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou

In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments,…

应用统计 · 统计学 2016-11-25 Deepesh Bhati , Mohd. Aamir Malik

Frailty and resilience models provide a way to introduce random effects in hazard and reversed hazard rate modeling by random variables, called frailty and resilience random variables, respectively, to account for unobserved or unexplained…

统计理论 · 数学 2022-09-20 Arindam Panja , Pradip Kundu , Biswabrata Pradhan

Learning high-dimensional distributions is often done with explicit likelihood modeling or implicit modeling via minimizing integral probability metrics (IPMs). In this paper, we expand this learning paradigm to stochastic orders, namely,…

机器学习 · 统计学 2022-11-11 Carles Domingo-Enrich , Yair Schiff , Youssef Mroueh

Synthetic control (SC) methods have gained rapid popularity in economics recently, where they have been applied in the context of inferring the effects of treatments on standard continuous outcomes assuming linear input-output relations. In…

统计方法学 · 统计学 2024-02-19 Alicia Curth , Hoifung Poon , Aditya V. Nori , Javier González

This paper establishes various variational properties of parametrized versions of two convexity-preserving constructs that were recently introduced in the literature: the proximal composition of a function and a linear operator, and the…

最优化与控制 · 数学 2025-01-27 Patrick L. Combettes , Diego J. Cornejo

In this paper, we give an alternative proof of the fact that, when compounding a nonnegative probability distribution, convex ordering between the distributions of the number of summands implies convex ordering between the resulting…

概率论 · 数学 2019-10-17 Jean Bérard , Nicolas Juillet

Survival models capture the relationship between an accumulating hazard and the occurrence of a singular event stimulated by that accumulation. When the model for the hazard is sufficiently flexible survival models can accommodate a wide…

统计方法学 · 统计学 2024-03-04 Michael Betancourt

This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution…

统计方法学 · 统计学 2024-05-21 Alok Kumar Pandey , Alam Ali , Ashok Kumar Pathak

Stemming from information-theoretic learning, the correntropy criterion and its applications to machine learning tasks have been extensively explored and studied. Its application to regression problems leads to the robustness enhanced…

机器学习 · 计算机科学 2020-07-23 Yunlong Feng

This paper focuses on stochastic orders and its applications : policy limits and deductibles. Further, many applications and some examples are given : comparison of two families of copulas, individual and collective risk model, reinsurance…

统计理论 · 数学 2015-01-28 Halim Zeghdoudi , Meriem Bouhadjar , Mohamed Riad Remita

The assessment of regression models with discrete outcomes is challenging and has many fundamental issues. With discrete outcomes, standard regression model assessment tools such as Pearson and deviance residuals do not follow the…

统计方法学 · 统计学 2024-01-15 Lu Yang

Mixed membership models are an extension of finite mixture models, where each observation can partially belong to more than one mixture component. A probabilistic framework for mixed membership models of high-dimensional continuous data is…

In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive particle whose position is reset randomly in time with a…

统计力学 · 物理学 2020-06-24 Martin R. Evans , Satya N. Majumdar , Gregory Schehr

In this paper, we consider contention resolution algorithms that are augmented with predictions about the network. We begin by studying the natural setup in which the algorithm is provided a distribution defined over the possible network…

分布式、并行与集群计算 · 计算机科学 2021-05-27 Seth Gilbert , Calvin Newport , Nitin Vaidya , Alex Weaver

This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

数值分析 · 计算机科学 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

Many results on the convex order in the literature were stated for random variables with finite mean. For instance, a fundamental result in dependence modeling is that the sum of a pair of random random variables is upper bounded in convex…

概率论 · 数学 2026-02-27 Benjamin Côté , Ruodu Wang

The current series of papers is concerned with stochastic stability of monotone dynamical systems by identifying the basic dynamical units that can survive in the presence of noise interference. In the first of the series, for the…

动力系统 · 数学 2025-11-18 Jifa Jiang , Xi Sheng , Yi Wang

The limit order book (LOB) depicts the fine-grained demand and supply relationship for financial assets and is widely used in market microstructure studies. Nevertheless, the availability and high cost of LOB data restrict its wider…

交易与市场微观结构 · 定量金融 2021-07-02 Zijian Shi , John Cartlidge

Inspired by regularization techniques in statistics and machine learning, we study complementary composite minimization in the stochastic setting. This problem corresponds to the minimization of the sum of a (weakly) smooth function endowed…

机器学习 · 计算机科学 2024-01-24 Alexandre d'Aspremont , Cristóbal Guzmán , Clément Lezane