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The present contribution investigates multivariate bootstrap procedures for general stabilizing statistics, with specific application to topological data analysis. Existing limit theorems for topological statistics prove difficult to use in…

Statistics Theory · Mathematics 2023-11-28 Benjamin Roycraft , Johannes Krebs , Wolfgang Polonik

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

Statistics Theory · Mathematics 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

In this paper we investigate how the bootstrap can be applied to time series regressions when the volatility of the innovations is random and non-stationary. The volatility of many economic and financial time series displays persistent…

Econometrics · Economics 2021-01-12 H. Peter Boswijk , Giuseppe Cavaliere , Anders Rahbek , Iliyan Georgiev

In a spatial-temporal model, structural change and/or spatial heterogeneity can easily affect estimation of parameters. Following the spatial-temporal model in [1], we develop a nonparametric procedure for test-ing the presence of…

Methodology · Statistics 2021-07-07 Ruby Anne E. Lemence , Erniel B. Barrios

Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic…

High Energy Physics - Theory · Physics 2024-03-19 Nima Arkani-Hamed , Clifford Cheung , Carolina Figueiredo , Grant N. Remmen

The bootstrap is a popular and convenient method for quantifying the authority of an empirical ordering of attributes, for example of a ranking of the performance of institutions or of the influence of genes on a response variable. In the…

Statistics Theory · Mathematics 2009-11-20 Peter Hall , Hugh Miller

In unit root testing, a piecewise locally stationary process is adopted to accommodate nonstationary errors that can have both smooth and abrupt changes in second- or higher-order properties. Under this framework, the limiting null…

Econometrics · Economics 2018-02-16 Yeonwoo Rho , Xiaofeng Shao

This paper introduces the new data-dependent multiplier bootstrap for non-parametric analysis of survival data, possibly subject to competing risks. The new resampling procedure includes both the general wild bootstrap and the weird…

Statistics Theory · Mathematics 2015-08-25 Dennis Dobler , Jan Beyersmann , Markus Pauly

We consider random binary trees that appear as the output of certain standard algorithms for sorting and searching if the input is random. We introduce the subtree size metric on search trees and show that the resulting metric spaces…

Probability · Mathematics 2014-05-06 Rudolf Grübel

The ability to design the scattering properties of electromagnetic structures is of fundamental interest in optical science and engineering. While there has been great practical success applying local optimization methods to electromagnetic…

A multiplier bootstrap procedure for construction of likelihood-based confidence sets is considered for finite samples and a possible model misspecification. Theoretical results justify the bootstrap validity for a small or moderate sample…

Statistics Theory · Mathematics 2015-11-18 Vladimir Spokoiny , Mayya Zhilova

We consider bootstrap-based testing for threshold effects in non-linear threshold autoregressive (TAR) models. It is well-known that classic tests based on asymptotic theory tend to be oversized in the case of small, or even moderate sample…

Methodology · Statistics 2022-01-04 Simone Giannerini , Greta Goracci , Anders Rahbek

A general approach to selective inference is considered for hypothesis testing of the null hypothesis represented as an arbitrary shaped region in the parameter space of multivariate normal model. This approach is useful for hierarchical…

Statistics Theory · Mathematics 2018-03-28 Yoshikazu Terada , Hidetoshi Shimodaira

The block bootstrap approximates sampling distributions from dependent data by resampling data blocks. A fundamental problem is establishing its consistency for the distribution of a sample mean, as a prototypical statistic. We use a…

Statistics Theory · Mathematics 2017-06-23 Johannes Tewes , Daniel J. Nordman , Dimitris N. Politis

Kronecker product covariance structure provides an efficient way to modeling the inter-correlations of matrix-variate data. In this paper, we propose testing statistics for Kronecker product covariance matrix based on linear spectral…

Statistics Theory · Mathematics 2022-05-02 Long Yu , Jiahui Xie , Wang Zhou

Recently Hui et al. (2018) use F tests for testing a subset of random effect, demonstrating its computational simplicity and exactness when the first two moment of the random effects are specified. We extended the investigation of the F…

Methodology · Statistics 2018-12-11 P. Y. O'Shaughnessy , Francis Hui , Samuel Muller , A. H. Welsh

In program verification, constraint-based random testing is a powerful technique which aims at generating random test cases that satisfy functional properties of a program. However, on recursive constrained data-structures (e.g., sorted…

Programming Languages · Computer Science 2022-08-29 Ghiles Ziat , Vincent Botbol , Matthieu Dien , Arnaud Gotlieb , Martin Pépin , Catherine Dubois

A method is developed for calculating effective sums of divergent series. This approach is a variant of the self-similar approximation theory. The novelty here is in using an algebraic transformation with a power providing the maximal…

Statistical Mechanics · Physics 2009-10-30 V. I. Yukalov , S. Gluzman

This paper is devoted to the study of closed string field theory in two dimensions. We compare two different approaches: BRST closed string field theory and the string effective Lagrangian. We show that the quadratic action and the pole…

High Energy Physics - Theory · Physics 2009-10-28 Julian Lee , Branko Urosevic

The overwhelming majority of empirical research that uses cluster-robust inference assumes that the clustering structure is known, even though there are often several possible ways in which a dataset could be clustered. We propose two tests…

Econometrics · Economics 2023-03-14 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb