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We introduce a bootstrap procedure to test the hypothesis $H_o$ that $K+1$ variances are homogeneous. The procedure uses a variance-based statistic, and is derived from a normal-theory test for equality of variances. The test equivalently…

统计方法学 · 统计学 2018-06-08 Dexter Cahoy

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

统计方法学 · 统计学 2020-06-15 Raif M. Rustamov , James T. Klosowski

In this paper we investigate the problem of testing the assumption of stationarity in locally stationary processes. The test is based on an estimate of a Kolmogorov-Smirnov type distance between the true time varying spectral density and…

统计理论 · 数学 2013-12-20 Philip Preuß , Mathias Vetter , Holger Dette

Reliable pattern recognition systems should exhibit consistent behavior across similar inputs, and their explanations should remain stable. However, most Explainable AI evaluations remain instance centric and do not explicitly quantify…

人工智能 · 计算机科学 2026-04-07 Abu Noman Md Sakib , Zhensen Wang , Merjulah Roby , Zijie Zhang

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

统计方法学 · 统计学 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

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…

统计理论 · 数学 2015-11-18 Vladimir Spokoiny , Mayya Zhilova

We consider semiparametric transformation models, where after pre-estimation of a parametric transformation of the response the data are modeled by means of nonparametric regression. We suggest subsequent procedures for testing lack-of-fit…

统计方法学 · 统计学 2019-01-25 Nick Kloodt , Natalie Neumeyer

In this paper, I construct a new test of conditional moment inequalities, which is based on studentized kernel estimates of moment functions with many different values of the bandwidth parameter. The test automatically adapts to the unknown…

应用统计 · 统计学 2012-01-06 Denis Chetverikov

This paper studies the joint inference on conditional volatility parameters and the innovation moments by means of bootstrap to test for the existence of moments for GARCH(p,q) processes. We propose a residual bootstrap to mimic the joint…

计量经济学 · 经济学 2019-07-11 Alexander Heinemann

This study develops a framework for testing hypotheses on structural parameters in incomplete models. Such models make set-valued predictions and hence do not generally yield a unique likelihood function. The model structure, however,…

计量经济学 · 经济学 2019-12-03 Hiroaki Kaido , Yi Zhang

I propose a nonparametric iid bootstrap procedure for the empirical likelihood, the exponential tilting, and the exponentially tilted empirical likelihood estimators that achieves asymptotic refinements for t tests and confidence intervals,…

计量经济学 · 经济学 2026-02-03 Seojeong Lee

To go beyond standard first-order asymptotics for Cox regression, we develop parametric bootstrap and second-order methods. In general, computation of $P$-values beyond first order requires more model specification than is required for the…

统计理论 · 数学 2015-04-14 Donald A. Pierce , Ruggero Bellio

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate…

计量经济学 · 经济学 2024-06-19 Matthew D. Cocci , Mikkel Plagborg-Møller

This paper proposes new specification tests for conditional models with discrete responses, which are key to apply efficient maximum likelihood methods, to obtain consistent estimates of partial effects and to get appropriate predictions of…

统计理论 · 数学 2018-02-01 Igor Kheifets , Carlos Velasco

Meta-analysis combines pertinent information from existing studies to provide an overall estimate of population parameters/effect sizes, as well as to quantify and explain the differences between studies. However, testing the between-study…

统计方法学 · 统计学 2020-11-13 Han Du , Ge Jiang , Zijun Ke

Correlation matrices are an essential tool for investigating the dependency structures of random vectors or comparing them. We introduce an approach for testing a variety of null hypotheses that can be formulated based upon the correlation…

统计理论 · 数学 2023-07-12 Paavo Sattler , Markus Pauly

Constructing tests or confidence regions that control over the error rates in the long-run is probably one of the most important problem in statistics. Yet, the theoretical justification for most methods in statistics is asymptotic. The…

统计方法学 · 统计学 2019-01-23 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

The field of causal discovery develops model selection methods to infer cause-effect relations among a set of random variables. For this purpose, different modelling assumptions have been proposed to render cause-effect relations…

统计方法学 · 统计学 2023-11-09 Daniela Schkoda , Mathias Drton

Model misspecification is ubiquitous in data analysis because the data-generating process is often complex and mathematically intractable. Therefore, assessing estimation uncertainty and conducting statistical inference under a possibly…

统计方法学 · 统计学 2023-12-19 Rong Li , Yichen Qin , Yang Li

Providing guarantees on the safe operation of robots against edge cases is challenging as testing methods such as traditional Monte-Carlo require too many samples to provide reasonable statistics. Built upon recent advancements in…

机器人学 · 计算机科学 2023-05-01 Guy Scher , Sadra Sadraddini , Ariel Yadin , Hadas Kress-Gazit