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We introduce and illustrate a number of performance measures for rare-event sampling methods. These measures are designed to be of use in a variety of expanded ensemble techniques including parallel tempering as well as infinite and partial…

统计力学 · 物理学 2015-06-23 J. D. Doll , Paul Dupuis

We propose a novel approach to parameter estimation for simulator-based statistical models with intractable likelihood. Our proposed method involves recursive application of kernel ABC and kernel herding to the same observed data. We…

机器学习 · 统计学 2018-06-13 Takafumi Kajihara , Motonobu Kanagawa , Keisuke Yamazaki , Kenji Fukumizu

Generalized quantum instruments correspond to measurements where the input and output are either states or more generally quantum circuits. These measurements describe any quantum protocol including games, communications, and algorithms.…

量子物理 · 物理学 2011-08-31 Giacomo Mauro D'Ariano , Paolo Perinotti , Michal Sedlak

The angular measure on the unit sphere characterizes the first-order dependence structure of the components of a random vector in extreme regions and is defined in terms of standardized margins. Its statistical recovery is an important step…

Motivated by examples from extreme value theory we introduce the general notion of a cluster process as a limiting point process of returns of a certain event in a time series. We explore general invariance properties of cluster processes…

概率论 · 数学 2023-11-03 Anja Janßen , Johan Segers

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

统计方法学 · 统计学 2025-11-05 Yiou Li , Lulu Kang

Marginal expected shortfall is unquestionably one of the most popular systemic risk measures. Studying its extreme behaviour is particularly relevant for risk protection against severe global financial market downturns. In this context,…

统计理论 · 数学 2023-04-18 Simone A. Padoan , Stefano Rizzelli , Matteo Schiavone

A measurement on a section K of the set of states of a finite dimensional C*-algebra is defined as an affine map from K to a probability simplex. Special cases of such sections are used in description of quantum networks, in particular…

量子物理 · 物理学 2021-11-08 Anna Jencova

In this paper we investigate the kernel estimator of the density for a stationary reversible Markov chain. The proofs are based on a new central limit theorem for a triangular array of reversible Markov chains obtained under conditions…

概率论 · 数学 2015-03-23 Martial Longla , Magda Peligrad , Hailin Sang

This paper deals with the nonparametric density estimation of the regression error term assuming its independence with the covariate. The difference between the feasible estimator which uses the estimated residuals and the unfeasible one…

统计理论 · 数学 2010-10-05 Rawane Samb

A relational structure $\mathbb{X}$ is called reversible iff each bijective homomorphism from $\mathbb{X}$ onto $\mathbb{X}$ is an isomorphism, and linear orders are prototypical examples of such structures. One way to detect new reversible…

逻辑 · 数学 2018-03-28 Miloš S. Kurilić , Nenad Morača

Partial mean with generated regressors arises in several econometric problems, such as the distribution of potential outcomes with continuous treatments and the quantile structural function in a nonseparable triangular model. This paper…

计量经济学 · 经济学 2018-11-02 Ying-Ying Lee

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We propose a wide class of recursive estimation procedures for the general…

统计理论 · 数学 2007-05-23 Teo Sharia

In this paper we consider the problem of determining the law of binary stochastic processes from transition kernels depending on the whole past. These kernels are linear in the past values of the process. They are allowed to assume values…

概率论 · 数学 2015-06-11 Emilio De Santis , Mauro Piccioni

We study policy evaluation of offline contextual bandits subject to unobserved confounders. Sensitivity analysis methods are commonly used to estimate the policy value under the worst-case confounding over a given uncertainty set. However,…

机器学习 · 统计学 2023-09-25 Kei Ishikawa , Niao He

We propose an estimator of the kernel-based conditional mean dependence measure obtained from an appropriate modification of a naive estimator based on usual empirical estimators. We then get asymptotic normality of this estimator both…

统计理论 · 数学 2022-07-27 Terence Kevin Manfoumbi Djonguet , Guy Martial Nkiet

We derive a tight bound between the quality of estimating a quantum state by measurement and the success probability of undoing the measurement in arbitrary dimensional systems, which completely describes the tradeoff relation between the…

量子物理 · 物理学 2012-10-12 Yong Wook Cheong , Seung-Woo Lee

This paper considers the problem of kernel regression and classification with possibly unobservable response variables in the data, where the mechanism that causes the absence of information is unknown and can depend on both predictors and…

统计理论 · 数学 2022-12-07 Majid Mojirsheibani , William Pouliot , Andre Shakhbandaryan

A general methodology is presented for the construction and effective use of control variates for reversible MCMC samplers. The values of the coefficients of the optimal linear combination of the control variates are computed, and adaptive,…

统计计算 · 统计学 2010-05-05 Ioannis Kontoyiannis , Petros Dellaportas

We formulate a necessary and sufficient condition for an admissible metric to be extremal for the Fuglede p-modulus of a system of measures. When p=2, this characterization generalizes Beurling's criterion, a sufficient condition for an…

经典分析与常微分方程 · 数学 2013-07-02 Matthew Badger