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We consider a time-varying first-order autoregressive model with irregular innovations, where we assume that the coefficient function is H\"{o}lder continuous. To estimate this function, we use a quasi-maximum likelihood based approach. A…

统计理论 · 数学 2023-02-28 Hanna Gruber , Moritz Jirak

Inverse optimization (IO) seeks to infer the parameters of a decision-maker's objective from observed context--action data. We study noiseless IO, where demonstrations are generated by a ground-truth objective. We provide a high-probability…

机器学习 · 统计学 2026-05-12 Pouria Fatemi , Hoomaan Maskan , Suvrit Sra , Peyman Mohajerin Esfahani

Radiomics involves the study of tumor images to identify quantitative markers explaining cancer heterogeneity. The predominant approach is to extract hundreds to thousands of image features, including histogram features comprised of…

统计方法学 · 统计学 2018-10-09 Hojin Yang , Veerabhadran Baladandayuthapani , Arvind U. K. Rao , Jeffrey S. Morris

In this article, we proposed an inverse Lindley distribution and studied its fundamental properties such as quantiles, mode, stochastic ordering and entropy measure. The proposed distribution is observed to be a heavy-tailed distribution…

应用统计 · 统计学 2014-05-27 Vikas Kumar Sharma , Sanjay Kumar Singh , Umesh Singh , Varun Agiwal

We present an iterative framework to improve the amortized approximations of posterior distributions in the context of Bayesian inverse problems, which is inspired by loop-unrolled gradient descent methods and is theoretically grounded in…

机器学习 · 计算机科学 2023-05-16 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

Using a recently derived integral in terms of elementary functions, we derive new asymptotic expansions of the normal inverse Gaussian cumulative distribution function. One of the asymptotic representations is in terms of the normal…

经典分析与常微分方程 · 数学 2025-09-09 Nico M. Temme

In this paper we examine some relative orderings of upper and lower records. It is shown that if m > n, the mth upper record ages faster than the nth upper record, where the data sets come from a sequence of independent and identically…

统计理论 · 数学 2024-06-24 Mohamed Kayid

Stochastic resetting, a diffusive process whose amplitude is "reset" to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. We here generalize the resetting step by…

统计力学 · 物理学 2021-05-26 M. Dahlenburg , A. V. Chechkin , R. Schumer , R. Metzler

Inverse statistics in economics is considered. We argue that the natural candidate for such statistics is the investment horizons distribution. This distribution of waiting times needed to achieve a predefined level of return is obtained…

软凝聚态物质 · 物理学 2008-12-02 Mogens H. Jensen , Anders Johansen , Ingve Simonsen

Inverse weighting with an estimated propensity score is widely used by estimation methods in causal inference to adjust for confounding bias. However, directly inverting propensity score estimates can lead to instability, bias, and…

统计方法学 · 统计学 2025-04-11 Lars van der Laan , Ziming Lin , Marco Carone , Alex Luedtke

In reinforcement learning, Reverse Experience Replay (RER) is a recently proposed algorithm that attains better sample complexity than the classic experience replay method. RER requires the learning algorithm to update the parameters…

机器学习 · 计算机科学 2024-09-02 Nan Jiang , Jinzhao Li , Yexiang Xue

The distribution function for the intensity of radiation propagating in a random medium is analyzed for arbitrary multiplicity of scattering (for arbitrary relation between the distance of propagation and mean free path), including as…

凝聚态物理 · 物理学 2007-05-23 Eugene Kogan , Moshe Kaveh

Inverse probability weighted estimators are the oldest and potentially most commonly used class of procedures for the estimation of causal effects. By adjusting for selection biases via a weighting mechanism, these procedures estimate an…

统计方法学 · 统计学 2021-07-06 Ashkan Ertefaie , Nima S. Hejazi , Mark J. van der Laan

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

系统与控制 · 计算机科学 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn

We provide a unified analysis of the predictive risk of ridge regression and regularized discriminant analysis in a dense random effects model. We work in a high-dimensional asymptotic regime where $p, n \to \infty$ and $p/n \to \gamma \in…

统计理论 · 数学 2015-11-05 Edgar Dobriban , Stefan Wager

The distribution of the sum of independent identically distributed uniform random variables is well-known. However, it is sometimes necessary to analyze data which have been drawn from different uniform distributions. By inverting the…

统计理论 · 数学 2010-05-25 David M. Bradley , Ramesh C. Gupta

In this work we introduce the lag irreversibility function as a method to assess time-irreversibility in discrete time series. It quantifies the degree of time-asymmetry for the joint probability function of the state variable under study…

数据分析、统计与概率 · 物理学 2023-08-01 Nazul Merino Negrete , Cesar Maldonado , Raúl Salgado-García

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

应用统计 · 统计学 2025-06-17 Michael R. Powers , Jiaxin Xu

In this paper, inference for the parametric component of a semiparametric model based on sampling from the posterior profile distribution is thoroughly investigated from the frequentist viewpoint. The higher-order validity of the profile…

统计理论 · 数学 2009-09-29 Guang Cheng , Michael R. Kosorok

Yang (1978) considered an empirical estimate of the mean residual life function on a fixed finite interval. She proved it to be strongly uniformly consistent and (when appropriately standardized) weakly convergent to a Gaussian process.…

统计理论 · 数学 2017-07-12 W. J. Hall , Jon A. Wellner
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