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Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodograms) which includes many important statistics in time series…

统计方法学 · 统计学 2018-06-19 Marco Meyer , Efstathios Paparoditis , Jens-Peter Kreiss

This project revolves around studying estimators for parameters in different Time Series models and studying their assymptotic properties. We introduce various bootstrap techniques for the estimators obtained. Our special emphasis is on…

统计理论 · 数学 2012-01-06 Abhishek Bhattacharya , Arup Bose

Analysis of stochastic models of networks is quite important in light of the huge influx of network data in social, information and bio sciences, but a proper statistical analysis of features of different stochastic models of networks is…

统计方法学 · 统计学 2015-11-18 Sharmodeep Bhattacharyya , Peter J. Bickel

Bootstrap methods, initially developed for solving statistical and quantum field theories, have recently been shown to capture the discrete spectrum of quantum mechanical problems, such as the single particle Schr\"odinger equation with an…

介观与纳米尺度物理 · 物理学 2021-12-15 Serguei Tchoumakov , Serge Florens

Bootstrapping and other resampling methods are increasingly appearing in the textbooks and curricula of courses that introduce undergraduate students to statistical methods. In order to teach the bootstrap well, students and instructors…

其他统计学 · 统计学 2024-05-30 Njesa Totty , James Molyneux , Claudio Fuentes

In reinforcement learning, it is typical to use the empirically observed transitions and rewards to estimate the value of a policy via either model-based or Q-fitting approaches. Although straightforward, these techniques in general yield…

机器学习 · 计算机科学 2020-07-28 Ilya Kostrikov , Ofir Nachum

A key tool to carry out inference on the unknown copula when modeling a continuous multivariate distribution is a nonparametric estimator known as the empirical copula. One popular way of approximating its sampling distribution consists of…

统计理论 · 数学 2023-02-01 Ivan Kojadinovic , Kristina Stemikovskaya

Residual bootstrap is a classical method for statistical inference in regression settings. With massive data sets becoming increasingly common, there is a demand for computationally efficient alternatives to residual bootstrap. We propose a…

统计方法学 · 统计学 2024-09-30 Indrila Ganguly , Srijan Sengupta , Sujit Ghosh

Structural equation models and Bayesian networks have been widely used to study causal relationships between continuous variables. Recently, a non-Gaussian method called LiNGAM was proposed to discover such causal models and has been…

机器学习 · 统计学 2010-06-23 Yusuke Komatsu , Shohei Shimizu , Hidetoshi Shimodaira

An important disadvantage of the h-index is that typically it cannot take into account the specific field of research of a researcher. Usually sample point estimates of the average and median h-index values for the various fields are…

数字图书馆 · 计算机科学 2017-08-29 C. Malesios , S. Psarakis

The construction of the simultaneous confidence bands for the integrated hazard function is considered. The Nelson--Aalen estimator is used. The simultaneous confidence bands based on bootstrap methods are presented. Two methods of…

统计理论 · 数学 2007-06-13 Anna Dudek , Maciej Gocwin , Jacek Leskow

This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

机器学习 · 统计学 2015-09-11 Lucas Mentch , Giles Hooker

Model averaging techniques based on resampling methods (such as bootstrapping or subsampling) have been utilized across many areas of statistics, often with the explicit goal of promoting stability in the resulting output. We provide a…

统计理论 · 数学 2024-05-28 Jake A. Soloff , Rina Foygel Barber , Rebecca Willett

We focus on the construction of confidence corridors for multivariate nonparametric generalized quantile regression functions. This construction is based on asymptotic results for the maximal deviation between a suitable nonparametric…

统计理论 · 数学 2015-02-03 Shih-Kang Chao , Katharina Proksch , Holger Dette , Wolfgang Härdle

Envelope methodology can provide substantial efficiency gains in multivariate statistical problems, but in some applications the estimation of the envelope dimension can induce selection volatility that may mitigate those gains. Current…

统计方法学 · 统计学 2017-04-17 Daniel J. Eck , R. Dennis Cook

This paper provides conditions under which subsampling and the bootstrap can be used to construct estimators of the quantiles of the distribution of a root that behave well uniformly over a large class of distributions $\mathbf{P}$. These…

统计理论 · 数学 2013-02-19 Joseph P. Romano , Azeem M. Shaikh

Assessing sensitivity to unmeasured confounding is an important step in observational studies, which typically estimate effects under the assumption that all confounders are measured. In this paper, we develop a sensitivity analysis…

统计方法学 · 统计学 2023-09-04 Dan Soriano , Eli Ben-Michael , Peter J. Bickel , Avi Feller , Samuel D. Pimentel

The focus of this paper is on the quantification of sampling variation in frequentist probabilistic forecasts. We propose a method of constructing confidence sets that respects the functional nature of the forecast distribution, and use…

统计方法学 · 统计学 2017-08-09 David Harris , Gael M. Martin , Indeewara Perera , D. S. Poskitt

Astroparticle experiments such as IceCube or MAGIC require a deconvolution of their measured data with respect to the response function of the detector to provide the distributions of interest, e.g. energy spectra. In this paper,…

天体物理仪器与方法 · 物理学 2016-07-26 Sabrina Einecke , Katharina Proksch , Nicolai Bissantz , Fabian Clevermann , Wolfgang Rhode

The frequency response function (FRF) is an established way to describe the outcome of experiments in posture control literature. The FRF is an empirical transfer function between an input stimulus and the induced body segment sway profile,…

应用统计 · 统计学 2025-05-27 Vittorio Lippi