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We consider the problem of estimating the common mean of independently sampled data, where samples are drawn in a possibly non-identical manner from symmetric, unimodal distributions with a common mean. This generalizes the setting of…

统计理论 · 数学 2019-07-09 Ankit Pensia , Varun Jog , Po-Ling Loh

We consider an estimator for the location of a shift in the mean of long-range dependent sequences. The estimation is based on the two-sample Wilcoxon statistic. Consistency and the rate of convergence for the estimated change point are…

统计理论 · 数学 2016-12-28 Annika Betken

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

机器学习 · 统计学 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

In this article, we derive an explicit formula for computing confidence interval for the mean of a bounded random variable. Moreover, we have developed multistage point estimation methods for estimating the mean value with prescribed…

统计理论 · 数学 2010-11-29 Xinjia Chen

We study the problem of estimating locations in time at which the level of technology in an economy changes when given a sequence of time ordered inputs and outputs. We approach the problem through the lens of nonparametric frontier…

统计方法学 · 统计学 2026-04-29 Shakeel Gavioli-Akilagun , Yining Chen , Flavio Ziegelmann

The passage-time distribution for a spread-out quantum particle to traverse a specific region is calculated using a detailed quantum model for the detector involved. That model, developed and investigated in earlier works, is based on the…

量子物理 · 物理学 2007-05-23 Gerhard C. Hegerfeldt , Jens Timo Neumann , Lawrence S. Schulman

Stochastic ordering among distributions has been considered in a variety of scenarios. Economic studies often involve research about the ordering of investment strategies or social welfare. However, as noted in the literature, stochastic…

Changepoint localization aims to provide confidence sets for a changepoint (if one exists). Existing methods either relying on strong parametric assumptions or providing only asymptotic guarantees or focusing on a particular kind of…

统计理论 · 数学 2026-02-18 Swapnaneel Bhattacharyya , Aaditya Ramdas

The problem of detecting the presence of a signal that can lead to a disaster is studied. A decision-maker collects data sequentially over time. At some point in time, called the change point, the distribution of data changes. This change…

信号处理 · 电气工程与系统科学 2023-03-07 Tim Brucks , Taposh Banerjee , Rahul Mishra

Point estimation of class prevalences in the presence of data set shift has been a popular research topic for more than two decades. Less attention has been paid to the construction of confidence and prediction intervals for estimates of…

机器学习 · 统计学 2019-07-23 Dirk Tasche

Parameter estimation is a foundational step in statistical modeling, enabling us to extract knowledge from data and apply it effectively. Bayesian estimation of parameters incorporates prior beliefs with observed data to infer distribution…

统计方法学 · 统计学 2025-06-24 Fahad Mostafa , Md Rejuan Haque , Md Mostafijur Rahman , Farzana Nasrin

We present an algorithm for the problem of linear distributed estimation of a parameter in a network where a set of agents are successively taking measurements. The approach considers a roaming token in a network that carries the estimate,…

系统与控制 · 计算机科学 2018-07-05 Lucas Balthazar , João Xavier , Bruno Sinopoli

We employ uncertain parametric CTMCs with parametric transition rates and a prior on the parameter values. The prior encodes uncertainty about the actual transition rates, while the parameters allow dependencies between transition rates.…

计算机科学中的逻辑 · 计算机科学 2022-12-08 Thom S. Badings , Nils Jansen , Sebastian Junges , Marielle Stoelinga , Matthias Volk

Social networks are getting closer to our real physical world. People share the exact location and time of their check-ins and are influenced by their friends. Modeling the spatio-temporal behavior of users in social networks is of great…

社会与信息网络 · 计算机科学 2017-04-11 Ali Zarezade , Sina Jafarzadeh , Hamid R. Rabiee

The aim of sequential change-point detection is to issue an alarm when it is thought that certain probabilistic properties of the monitored observations have changed. This work is concerned with nonparametric, closed-end testing procedures…

统计方法学 · 统计学 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

应用统计 · 统计学 2014-09-01 Issac Shams , Saeede Ajorlou , Kai Yang

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

Given the discrete-time sequence of nonnegative random variables, general dependencies between the exponential convergence of the expectations, exponential convergence of the trajectories and the logarithmic growth of the corresponding…

概率论 · 数学 2024-08-06 Dawid Tarłowski

We study nonparametric estimation of the distribution function (DF) of a continuous random variable based on a ranked set sampling design using the exponentially tilted (ET) empirical likelihood method. We propose ET estimators of the DF…

统计计算 · 统计学 2015-06-23 Saeid Amiri , Mohammad Jafari Jozani , Reza Modarres

This paper addresses the question of how population diffusion affects the formation of the spatial patterns in the spatial epidemic model by Turing mechanisms. In particular, we present theoretical analysis to results of the numerical…

种群与进化 · 定量生物学 2009-09-29 Quan-Xing Liu , Zhen Jin