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相关论文: Testing for a change of the innovation distributio…

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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

In this paper we consider a regression model that allows for time series covariates as well as heteroscedasticity with a regression function that is modelled nonparametrically. We assume that the regression function changes at some unknown…

统计理论 · 数学 2019-09-17 Maria Mohr , Leonie Selk

In this paper we consider the problem of detecting a change in the parameters of an autoregressive process, where the moments of the innovation process do not necessarily exist. An empirical likelihood ratio test for the existence of a…

统计理论 · 数学 2016-12-07 Fumiya Akashi , Holger Dette , Yan Liu

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

A weakly dependent time series regression model with multivariate covariates and univariate observations is considered, for which we develop a procedure to detect whether the nonparametric conditional mean function is stable in time against…

统计理论 · 数学 2019-01-25 Maria Mohr , Natalie Neumeyer

This paper studies the residual empirical process of long- and short-memory time series regression models and establishes its uniform expansion under a general framework. The results are applied to the stochastic regression models and…

统计理论 · 数学 2012-11-16 Ngai Hang Chan , Shiqing Ling

In this paper, in order to test whether changes have occurred in a nonlinear parametric regression, we propose a nonparametric method based on the empirical likelihood. Firstly, we test the null hypothesis of no-change against the…

统计理论 · 数学 2014-05-22 Gabriela Ciuperca , Zahraa Salloum

In this paper an autoregressive time series model with conditional heteroscedasticity is considered, where both conditional mean and conditional variance function are modeled nonparametrically. A test for the model assumption of…

统计理论 · 数学 2016-10-12 Marie Hušková , Natalie Neumeyer , Tobias Niebuhr , Leonie Selk

In this paper we consider autoregressive models with conditional autoregressive variance, including the case of homoscedastic AR-models and the case of ARCH models. Our aim is to test the hypothesis of normality for the innovations in a…

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

We consider the residual empirical process in random design regression with long memory errors. We establish its limiting behaviour, showing that its rates of convergence are different from the rates of convergence for to the empirical…

统计理论 · 数学 2011-02-23 Pawel Lorek , Rafal Kulik

We consider the problem of testing significance of predictors in multivariate nonparametric quantile regression. A stochastic process is proposed, which is based on a comparison of the responses with a nonparametric quantile regression…

统计方法学 · 统计学 2012-06-15 Stanislav Volgushev , Melanie Birke , Holger Dette , Natalie Neumeyer

We study an epidemic type change in innovations of a first order autoregressive process $ y_{n,k} = \varphi_n y_{n,k-1} + \epsilon_{k} + a_{n,k}$, where $\phi_n$ is either a constant in $(-1,1)$ or a sequence in $(0,1)$, converging to 1.…

统计理论 · 数学 2014-10-21 Jurgita Markevičiūtė , Alfredas Račkauskas , Charles Suquet

This paper derives the rate of convergence and asymptotic distribution for a class of Kolmogorov-Smirnov style test statistics for conditional moment inequality models for parameters on the boundary of the identified set under general…

应用统计 · 统计学 2011-12-06 Timothy B. Armstrong

This paper considers the problem of comparing two processes with panel data. A nonparametric test is proposed for detecting a monotone change in the link between the two process distributions. The test statistic is of CUSUM type, based on…

统计理论 · 数学 2011-05-04 Denys Pommeret , Mohamed Boutahar , Badih Ghattas

Heteroskedastic errors can lead to inaccurate statistical conclusions if they are not properly handled. We introduce a test for heteroskedasticity for the nonparametric regression model with multiple covariates. It is based on a suitable…

统计方法学 · 统计学 2018-02-21 Justin Chown , Ursula U. Müller

Change point analysis has become an important research topic in many fields of applications. Several research work has been carried out to detect changes and its locations in time series data. In this paper, a nonparametric method based on…

统计方法学 · 统计学 2017-11-28 Ramadha D. Piyadi Gamage , Wei Ning

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

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 residual-based empirical distribution function is proposed to estimate the distribution function of the errors of a heteroskedastic nonparametric regression with responses missing at random based on completely observed data, and this…

统计方法学 · 统计学 2016-10-28 Justin Chown

We propose several statistics to test the Markov hypothesis for $\beta$-mixing stationary processes sampled at discrete time intervals. Our tests are based on the Chapman--Kolmogorov equation. We establish the asymptotic null distributions…

统计理论 · 数学 2016-08-14 Yacine Aït-Sahalia , Jianqing Fan , Jiancheng Jiang
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