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Researchers are often interested in estimating effects of generalized time-varying treatment strategies on the mean of an outcome at one or more selected follow-up times of interest. For example, the Medications and Weight Gain in PCORnet…

This paper concerns estimating a probability density function $f$ based on iid observations from $g(x)=W^{-1} w(x) f(x)$, where the weight function $w$ and the total weight $W=\int w(x) f(x) dx$ may not be known. The length-biased and…

统计理论 · 数学 2007-06-13 Robert M. Mnatsakanov , Frits H. Ruymgaart

A generalization of Gy's theory for the variance of the fundamental sampling error is reviewed. Practical situations where the generalized model potentially leads to more accurate variance estimates are identified as: clustering of…

应用统计 · 统计学 2009-11-10 Bastiaan Geelhoed

Models such as the zero-inflated and zero-altered Poisson and zero-truncated binomial are well-established in modern regression analysis. We propose a super model that jointly and maximally unifies alteration, inflation, truncation and…

统计方法学 · 统计学 2022-08-30 Thomas W. Yee , Chenchen Ma

We present two new estimators for estimating the entropy of absolutely continuous random variables. Some properties of them are considered, specifically consistency of the first is proved. The introduced estimators are compared with the…

统计理论 · 数学 2014-05-05 A. Kohansal , S. Rezakhah

In this paper we present an enhancement of the regression-based variance reduction approaches recently proposed in Belomestny et al. This enhancement is based on a truncation of the control variate and allows for a significant reduction of…

概率论 · 数学 2017-11-10 Denis Belomestny , Stefan Häfner , Mikhail Urusov

We introduce a new test for conditional independence which is based on what we call the weighted generalised covariance measure (WGCM). It is an extension of the recently introduced generalised covariance measure (GCM). To test the null…

统计方法学 · 统计学 2022-05-17 Cyrill Scheidegger , Julia Hörrmann , Peter Bühlmann

Inverse Probability Weighting (IPW) is widely used in empirical work in economics and other disciplines. As Gaussian approximations perform poorly in the presence of "small denominators," trimming is routinely employed as a regularization…

计量经济学 · 经济学 2019-05-28 Xinwei Ma , Jingshen Wang

Estimation of value in policy gradient methods is a fundamental problem. Generalized Advantage Estimation (GAE) is an exponentially-weighted estimator of an advantage function similar to $\lambda$-return. It substantially reduces the…

机器学习 · 计算机科学 2023-01-27 Xiulei Song , Yizhao Jin , Greg Slabaugh , Simon Lucas

Generalized mutual entropy is defined for networks and applied for analysis of complex network structures. The method is tested for the case of computer simulated scale free networks, random networks, and their mixtures. The possible…

无序系统与神经网络 · 物理学 2009-11-13 V. Gudkov , V. Montealegre

Weighted likelihood, in which one solves Horvitz-Thompson or inverse probability weighted (IPW) versions of the likelihood equations, offers a simple and robust method for fitting models to two phase stratified samples. We consider…

统计理论 · 数学 2007-06-13 Norman E. Breslow , Jon A. Wellner

R\'enyi entropy of order \alpha is a general measure of entropy. In this paper we derive estimations for the R\'enyi entropy of the mixture of sources in terms of the entropy of the single sources. These relations allow to compute the…

信息论 · 计算机科学 2012-04-13 Marek Śmieja , Jacek Tabor

Bivariate extreme-value distributions have been used in modeling extremes in environmental sciences and risk management. An important issue is estimating the dependence function, such as the Pickands dependence function. Some estimators for…

统计理论 · 数学 2013-03-21 Liang Peng , Linyi Qian , Jingping Yang

We propose a novel kernel-based nonparametric two-sample test, employing the combined use of kernel mean and kernel covariance embedding. Our test builds on recent results showing how such combined embeddings map distinct probability…

机器学习 · 统计学 2025-09-16 Leonardo V. Santoro , Victor M. Panaretos

In this note we study a conjecture of Madiman and Wang which predicted that the generalized Gaussian distribution minimizes the R\'{e}nyi entropy of the sum of independent random variables. Through a variational analysis, we show that the…

信息论 · 计算机科学 2019-12-12 Benjamin Jaye , Galyna V. Livshyts , Grigoris Paouris , Peter Pivovarov

We revisit generalized entropic formulations of the uncertainty principle for an arbitrary pair of quantum observables in two-dimensional Hilbert space. R\'enyi entropy is used as uncertainty measure associated with the distribution…

量子物理 · 物理学 2014-06-23 Steeve Zozor , Gustavo Martín Bosyk , Mariela Portesi

We compute R\'enyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty…

量子物理 · 物理学 2015-11-17 Alfredo Luis , Gustavo Martín Bosyk , Mariela Portesi

When observations are truncated, we are limited to an incomplete picture of our dataset. Recent methods propose to use score matching for truncated density estimation, where the access to the intractable normalising constant is not…

统计方法学 · 统计学 2024-04-15 Daniel J. Williams , Song Liu

There are now many options for doubly robust estimation; however, there is a concerning trend in the applied literature to believe that the combination of a propensity score and an adjusted outcome model automatically results in a doubly…

Transmuted geometric distribution (TGD) was recently introduced and investigated by Chakraborty and Bhati (2016). This is a flexible extension of geometric distribution having an additional parameter that determines its zero inflation as…

统计方法学 · 统计学 2016-10-25 Subrata Chakraborty , Deepesh Bhati