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The partial copula provides a method for describing the dependence between two random variables $X$ and $Y$ conditional on a third random vector $Z$ in terms of nonparametric residuals $U_1$ and $U_2$. This paper develops a nonparametric…

统计理论 · 数学 2021-04-30 Lasse Petersen , Niels Richard Hansen

Quantile regression, based on check loss, is a widely used inferential paradigm in Econometrics and Statistics. The conditional quantiles provide a robust alternative to classical conditional means, and also allow uncertainty quantification…

机器学习 · 计算机科学 2021-02-15 Anuj Tambwekar , Anirudh Maiya , Soma Dhavala , Snehanshu Saha

In this article, we propose a new method for the fundamental task of testing for dependence between two groups of variables. The response densities under the null hypothesis of independence and the alternative hypothesis of dependence are…

统计方法学 · 统计学 2015-01-29 Yimin Kao , Brian J Reich , Howard D Bondell

The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is determined by Monte Carlo simulation for a number…

chao-dyn · 物理学 2009-10-31 Thomas Schreiber , Andreas Schmitz

Model misspecification can create significant challenges for the implementation of probabilistic models, and this has led to development of a range of robust methods which directly account for this issue. However, whether these more…

机器学习 · 统计学 2025-04-22 Oscar Key , Arthur Gretton , François-Xavier Briol , Tamara Fernandez

We propose generalized portmanteau-type test statistics in the frequency domain to test independence between two stationary time series. The test statistics are formed analogous to the one in Chen and Deo (2004, Econometric Theory 20,…

统计理论 · 数学 2008-10-14 Xiaofeng Shao

In this paper we propose using a nonparametric model specification test for parametric time series with long-range dependence (LRD). To establish asymptotic distributions of the proposed test statistic, we develop new central limit theorems…

统计理论 · 数学 2013-12-11 Jiti Gao , Qiying Wang , Jiying Yin

In the era of rapidly increasing amounts of time series data, classification of variable objects has become the main objective of time-domain astronomy. Classification of irregularly sampled time series is particularly difficult because the…

天体物理仪器与方法 · 物理学 2015-05-21 Sven Dennis Kügler , Nikos Gianniotis , Kai Lars Polsterer

We propose a series-based nonparametric specification test for a regression function when data are spatially dependent, the `space' being of a general economic or social nature. Dependence can be parametric, parametric with increasing…

计量经济学 · 经济学 2022-08-30 Abhimanyu Gupta , Xi Qu

This paper provides tests for detecting sample selection in nonparametric conditional quantile functions. The first test is an omitted predictor test with the propensity score as the omitted variable. As with any omnibus test, in the case…

计量经济学 · 经济学 2021-01-08 Valentina Corradi , Daniel Gutknecht

We consider a nonparametric heteroscedastic time series regression model and suggest testing procedures to detect changes in the conditional variance function. The tests are based on a sequential marked empirical process and thus combine…

统计理论 · 数学 2019-06-10 Maria Mohr , Natalie Neumeyer

Qubit noise spectroscopy is an important tool for the experimental investigation of open quantum systems. However, conventional techniques for noise spectroscopy are time-consuming, because they require measurements of the noise spectral…

量子物理 · 物理学 2025-06-24 Kaixin Huang , Demitry Farfurnik , Alireza Seif , Mohammad Hafezi , Yi-Kai Liu

We introduce a new methodology for analyzing serial data by quantile regression assuming that the underlying quantile function consists of constant segments. The procedure does not rely on any distributional assumption besides serial…

统计方法学 · 统计学 2020-09-09 Laura Jula Vanegas , Merle Behr , Axel Munk

We propose a new conditional dependence measure and a statistical test for conditional independence. The measure is based on the difference between analytic kernel embeddings of two well-suited distributions evaluated at a finite set of…

机器学习 · 统计学 2022-06-17 Meyer Scetbon , Laurent Meunier , Yaniv Romano

This paper is devoted to testing time series that exhibit behavior related to two or more regimes with different statistical properties. Motivation of our study are two real data sets from plasma physics with observable two-regimes…

数学物理 · 物理学 2015-06-04 Janusz gajda , Grzegorz Sikora , Agnieszka Wyłomańska

The object of observation in present paper is statistical independence of real sequences and its description as independence with re spect to certain class of densities.

统计理论 · 数学 2024-11-05 Milan Pasteka

Assessing the predictive power of both data and models holds paramount significance in time-series machine learning applications. Yet, preparing time series data accurately and employing an appropriate measure for predictive power seems to…

统计金融 · 定量金融 2023-11-22 Martin Winistörfer , Ivan Zhdankin

This paper presents a general framework for modeling dependence in multivariate time series. Its fundamental approach relies on decomposing each signal in a system into various frequency components and then studying the dependence…

统计方法学 · 统计学 2021-04-01 Hernando Ombao , Marco Pinto

We consider estimation of quantile curves for a general class of nonstationary processes. Consistency and central limit results are obtained for local linear quantile estimates under a mild short-range dependence condition. Our results are…

统计理论 · 数学 2009-08-26 Zhou Zhou , Wei Biao Wu

The univariate quantile-quantile (Q-Q) plot is a well-known graphical tool for examining whether two data sets are generated from the same distribution or not. It is also used to determine how well a specified probability distribution fits…

统计理论 · 数学 2014-07-07 Subhra Sankar Dhar , Biman Chakraborty , Probal Chaudhuri