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In this paper we propose a nonparametric procedure for validating the assumption of stationarity in multivariate locally stationary time series models. We develop a bootstrap assisted test based on a Kolmogorov-Smirnov type statistic, which…

统计理论 · 数学 2013-12-06 Ruprecht Puchstein , Philip Preuß

A consistent goodness-of-fit test for distributional regression is introduced. The test statistic is based on a process that traces the difference between a nonparametric and a semi-parametric estimate of the marginal distribution function…

统计方法学 · 统计学 2025-10-10 Gitte Kremling , Gerhard Dikta

This paper investigates the estimation of the self-similarity parameter in fractional processes. We re-examine the Kolmogorov-Smirnov (KS) test as a distribution-based method for assessing self-similarity, emphasizing its robustness and…

统计方法学 · 统计学 2025-02-12 Daniele Angelini , Sergio Bianchi

Big Data has become an ever more commonplace setting that is encountered by data analysts. In the Big Data setting, analysts are faced with very large numbers of observations as well as data that arrive as a stream, both of which are…

统计计算 · 统计学 2017-04-13 Hien Duy Nguyen

The Kolmogorov-Smirnov (KS) test is a nonparametric statistical test used to test for differences between univariate probability distributions. The versatility of the KS test has made it a cornerstone of statistical analysis across many…

统计方法学 · 统计学 2022-11-21 Connor Puritz , Elan Ness-Cohn , Rosemary Braun

In recent years, Bayesian nonparametric statistics has gathered extraordinary attention. Nonetheless, a relatively little amount of work has been expended on Bayesian nonparametric hypothesis testing. In this paper, a novel Bayesian…

统计理论 · 数学 2015-05-08 Luai Al Labadi , Emad Masuadi , Mahmoud Zarepour

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

This paper addresses the problem of fitting a known distribution to the innovation distribution in a class of stationary and ergodic time series models. The asymptotic null distribution of the usual Kolmogorov--Smirnov test based on the…

统计理论 · 数学 2007-06-13 Hira L. Koul , Shiqing Ling

One of the major problems in Machine Learning (ML) and Artificial Intelligence (AI) is the fact that the probability distribution of the test data in the real world could deviate substantially from the probability distribution of the…

机器学习 · 计算机科学 2025-10-21 Ozan K. Tonguz , Federico Taschin

We consider the problem of goodness-of-fit testing for a model that has at least one unknown parameter that cannot be eliminated by transformation. Examples of such problems can be as simple as testing whether a sample consists of…

统计方法学 · 统计学 2021-04-28 Sean van der Merwe

The posterior predictive $p$-value (ppp) is widely used in Bayesian model evaluation. However, due to double use of the data, the ppp may not be a valid $p$-value even in large samples: The asymptotic null distribution of the ppp can be…

统计理论 · 数学 2026-01-13 Yueming Shen , Surya Tokdar

We propose a sequential nonparametric test for detecting a change in distribution, based on windowed Kolmogorov--Smirnov statistics. The approach is simple, robust, highly computationally efficient, easy to calibrate, and requires no…

统计方法学 · 统计学 2016-12-26 Oscar Hernan Madrid Padilla , Alex Athey , Alex Reinhart , James G. Scott

We construct new testing procedures for spherical and elliptical symmetry based on the characterization that a random vector $X$ with finite mean has a spherical distribution if and only if $\Ex[u^\top X | v^\top X] = 0$ holds for any two…

统计理论 · 数学 2020-04-29 Isaia Albisetti , Fadoua Balabdaoui , Hajo Holzmann

In this paper we introduce the idea of partially sorting data to design nonparametric tests. This approach gives rise to tests that are sensitive to both the order and the underlying distribution of the data. We focus in particular on a…

统计理论 · 数学 2022-10-27 Krzysztof Bisewski , H. M. Jansen , Yoni Nazarathy

This paper considers parametric model adequacy tests for nonlinear multivariate dynamic models. It is shown that commonly used Kolmogorov-type tests do not take into account cross-sectional nor time-dependence structure, and a test, based…

统计方法学 · 统计学 2021-08-10 Igor L. Kheifets

We propose a nonparametric statistical test for goodness-of-fit: given a set of samples, the test determines how likely it is that these were generated from a target density function. The measure of goodness-of-fit is a divergence…

机器学习 · 统计学 2016-09-28 Kacper Chwialkowski , Heiko Strathmann , Arthur Gretton

We consider a nonparametric autoregression model under conditional heteroscedasticity with the aim to test whether the innovation distribution changes in time. To this end we develop an asymptotic expansion for the sequential empirical…

统计方法学 · 统计学 2012-11-07 Leonie Selk , Natalie Neumeyer

A valued stochastic blockmodel (SBM) is a general way to view networked data in which nodes are grouped into blocks and links between them are measured by counts or labels. This family allows for varying dyad sampling schemes, thereby…

The characterization of covariate effects on model parameters is a crucial step during pharmacokinetic/pharmacodynamic analyses. While covariate selection criteria have been studied extensively, the choice of the functional relationship…

统计方法学 · 统计学 2024-04-09 Niklas Hartung , Martin Wahl , Abhishake Rastogi , Wilhelm Huisinga

Kolmogorov-Smirnov (K-S) test-a non-parametric method to measure the goodness of fit, is applied for automatic modulation classification (AMC) in this paper. The basic procedure involves computing the empirical cumulative distribution…

信息论 · 计算机科学 2016-11-17 Fanggang Wang , Rongtao Xu , Zhangdui Zhong
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