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This paper considers the problem of robust adaptive efficient estimating of a periodic function in a continuous time regression model with the dependent noises given by a general square integrable semimartingale with a conditionally…

统计理论 · 数学 2019-09-24 Evgeny Pchelintsev , Serguei Pergamenshchikov

This short communication uses a simple experiment to show that fitting to a power law distribution by using graphical methods based on linear fit on the log-log scale is biased and inaccurate. It shows that using maximum likelihood…

统计力学 · 物理学 2009-11-10 Michel L. Goldstein , Steven A. Morris , Gary G. Yen

Random variables in metric spaces indexed by time and observed at equally spaced time points are receiving increased attention due to their broad applicability. The absence of inherent structure in metric spaces has resulted in a literature…

统计方法学 · 统计学 2024-09-24 Matthieu Bulté , Helle Sørensen

Conformal prediction, and split conformal prediction as a specific implementation, offer a distribution-free approach to estimating prediction intervals with statistical guarantees. Recent work has shown that split conformal prediction can…

机器学习 · 统计学 2024-05-01 Nicolas Dewolf , Bernard De Baets , Willem Waegeman

Motivated by global warming issues, we consider a time se- ries that consists of a nondecreasing trend observed with station- ary fluctuations, nonparametric estimation of the trend under monotonicity assumption is considered. The rescaled…

统计理论 · 数学 2008-12-18 Ou Zhao , Michael Woodroofe

We suggest specification tests for the error distribution in vector multiplicative error models (vMEM). The test statistic is formulated as a weighted integrated distance between the parametric estimator of the Laplace transform of the null…

统计方法学 · 统计学 2025-09-09 Šárka Hudecová , Simos G. Meintanis

Binomial time series in which the logit of the probability of success is modelled as a linear function of observed regressors and a stationary latent Gaussian process are considered. Score tests are developed to first test for the existence…

统计理论 · 数学 2016-06-06 W. T. M. Dunsmuir , J. Y. He

We develop a class of optimal tests for a structural break occurring at an unknown date in infinite and growing-order time series regression models, such as AR($\infty$), linear regression with increasingly many covariates, and…

计量经济学 · 经济学 2025-10-15 Abhimanyu Gupta , Myung Hwan Seo

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

It is an important task in the literature to check whether a fitted autoregressive moving average (ARMA) model is adequate, while the currently used tests may suffer from the size distortion problem when the underlying autoregressive models…

统计方法学 · 统计学 2022-09-21 Xiaohui Liu , Donghui Fan , Xu Zhang , Catherine C. Liu

It is well known that if the power spectral density of a continuous time stationary stochastic process does not have a compact support, data sampled from that process at any uniform sampling rate leads to biased and inconsistent spectrum…

统计理论 · 数学 2010-06-09 Radhendushka Srivastava , Debasis Sengupta

We propose improved standard errors and an asymptotic distribution theory for two-way clustered panels. Our proposed estimator and theory allow for arbitrary serial dependence in the common time effects, which is excluded by existing…

计量经济学 · 经济学 2023-12-15 Harold D Chiang , Bruce E Hansen , Yuya Sasaki

We propose a new asymptotic test to assess the stationarity of a time series' mean that is applicable in the presence of both heteroscedasticity and short-range dependence. Our test statistic is composed of Gini's mean difference of local…

统计理论 · 数学 2021-08-23 Sara Kristin Schmidt

In this paper the nonparametric quantile regression model is considered in a location-scale context. The asymptotic properties of the empirical independence process based on covariates and estimated residuals are investigated. In particular…

统计理论 · 数学 2016-09-27 Melanie Birke , Natalie Neumeyer , Stanislav Volgushev

This paper provides a specification test for semiparametric models with nonparametrically generated regressors. Such variables are not observed by the researcher but are nonparametrically identified and estimable. Applications of the test…

计量经济学 · 经济学 2023-10-26 Elia Lapenta

Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

统计方法学 · 统计学 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

Gene Set Enrichment Analysis (GSEA) is a basic tool for genomic data treatment. From a statistical point of view, the centering of its test statistic does not allow the derivation of asymptotic results. A test statistic with a different…

概率论 · 数学 2014-10-08 Konstantina Charmpi , Bernard Ycart

The semiparametric accelerated failure time model is not as widely used as the Cox relative risk model mainly due to computational difficulties. Recent developments in least squares estimation and induced smoothing estimating equations…

统计方法学 · 统计学 2015-06-02 Steven Chiou , Junghi Kim , Jun Yan

We consider the goodness of fit testing problem for linear stochastic differential equation (Ornstein-Uhlenbeck process). The basic hypothesis is supposed to be composite with two-dimensional unknown parameter. We study two goodness of fit…

统计理论 · 数学 2013-05-16 Yury A. Kutoyants

A class of tests for change-point detection designed to be particularly sensitive to changes in the cross-sectional rank correlation of multivariate time series is proposed. The derived procedures are based on several multivariate…

统计方法学 · 统计学 2015-02-27 Ivan Kojadinovic , Jean-François Quessy , Tom Rohmer
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