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There have been a number of papers written on semi-parametric estimation methods of the long-memory exponent of a time series, some applied, others theoretical. Some using Fourier methods, others using a wavelet-based technique. In this…

统计理论 · 数学 2008-01-29 Gilles Fay , Eric Moulines , François Roueff , Murad S. Taqqu

The paper deals with generalized functional regression. The aim is to estimate the influence of covariates on observations, drawn from an exponential distribution. The link considered has a semiparametric expression: if we are interested in…

统计理论 · 数学 2013-09-20 Irène Gannaz

Spectral singularities at non-zero frequencies play an important role in investigating cyclic or seasonal time series. The publication [2] introduced the generalized filtered method-of-moments approach to simultaneously estimate singularity…

统计理论 · 数学 2020-11-13 Antoine Ayache , Myriam Fradon , Ravindi Nanayakkara , Andriy Olenko

Joint models for longitudinal and time-to-event data are widely used in many disciplines. Nonetheless, existing model comparison criteria do not indicate whether a model adequately fits the data or which components may be misspecified. We…

统计方法学 · 统计学 2026-01-27 Dimitris Rizopoulos , Jeremy M. G. Taylor , Isabella Kardys

Wavelet estimators for a probability density f enjoy many good properties, however they are not "shape-preserving" in the sense that the final estimate may not be non-negative or integrate to unity. A solution to negativity issues may be to…

统计方法学 · 统计学 2017-08-29 Carlos Aya Moreno , Gery Geenens , Spiridon Penev

A theory of superefficiency and adaptation is developed under flexible performance measures which give a multiresolution view of risk and bridge the gap between pointwise and global estimation. This theory provides a useful benchmark for…

统计理论 · 数学 2007-06-13 T. Tony Cai , Mark G. Low

We consider an elliptic linear-quadratic parameter estimation problem with a finite number of parameters. A novel a priori bound for the parameter error is proved and, based on this bound, an adaptive finite element method driven by an a…

数值分析 · 数学 2022-09-05 Roland Becker , Michael Innerberger , Dirk Praetorius

We propose an empirical likelihood test that is able to test the goodness of fit of a class of parametric and semi-parametric multiresponse regression models. The class includes as special cases fully parametric models; semi-parametric…

统计理论 · 数学 2010-01-12 Song Xi Chen , Ingrid Van Keilegom

We consider structural equation modeling (SEM) with latent variables for diffusion processes based on high-frequency data. The quasi-likelihood estimators for parameters in the SEM are proposed. The goodness-of-fit test is derived from the…

统计理论 · 数学 2023-06-09 Shogo Kusano , Masayuki Uchida

We consider efficient estimation of the Euclidean parameters in a generalized partially linear additive models for longitudinal/clustered data when multiple covariates need to be modeled nonparametrically, and propose an estimation…

统计理论 · 数学 2014-02-05 Guang Cheng , Lan Zhou , Jianhua Z. Huang

Latent variable models have been widely applied in different fields of research in which the constructs of interest are not directly observable, so that one or more latent variables are required to reduce the complexity of the data. In…

统计理论 · 数学 2014-07-07 Silvia Bianconcini

A goodness-of-fit test for the fitting of a parametric model to data obtained from a detector with finite resolution and limited acceptance is proposed. The parameters of the model are found by minimization of a statistic that is used for…

数据分析、统计与概率 · 物理学 2015-03-17 N. D. Gagunashvili

Fine-tuning of self-supervised models is a powerful transfer learning method in a variety of fields, including speech processing, since it can utilize generic feature representations obtained from large amounts of unlabeled data.…

多媒体 · 计算机科学 2022-12-07 Shinta Otake , Rei Kawakami , Nakamasa Inoue

Many standard estimators, when applied to adaptively collected data, fail to be asymptotically normal, thereby complicating the construction of confidence intervals. We address this challenge in a semi-parametric context: estimating the…

统计理论 · 数学 2025-03-04 Licong Lin , Koulik Khamaru , Martin J. Wainwright

Weighted histograms are used for the estimation of probability density functions. Computer simulation is the main domain of application of this type of histogram. A review of chi-square goodness of fit tests for weighted histograms is…

数据分析、统计与概率 · 物理学 2015-05-13 Nikolai Gagunashvili

Despite the wide usage of parametric point processes in theory and applications, a sound goodness-of-fit procedure to test whether a given parametric model is appropriate for data coming from a self-exciting point processes has been missing…

统计理论 · 数学 2024-07-15 José C. F. Kling , Mathias Vetter

Let $(Y,(X_i)_{i\in\mathcal{I}})$ be a zero mean Gaussian vector and $V$ be a subset of $\mathcal{I}$. Suppose we are given $n$ i.i.d. replications of the vector $(Y,X)$. We propose a new test for testing that $Y$ is independent of…

统计理论 · 数学 2008-05-23 Nicolas Verzelen , Fanny Villers

The aim of this paper is first the detection of multiple abrupt changes of the long-range dependence (respectively self-similarity, local fractality) parameters from a sample of a Gaussian stationary times series (respectively time series,…

统计理论 · 数学 2007-12-10 Jean-Marc Bardet , Imen Kammoun

We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for stationarity versus trends and unit roots…

统计理论 · 数学 2010-02-16 Frédéric Lavancier , Anne Philippe , Donatas Surgailis

We study the asymptotic behavior of wavelet coefficients of random processes with long memory. These processes may be stationary or not and are obtained as the output of non--linear filter with Gaussian input. The wavelet coefficients that…

概率论 · 数学 2010-07-28 Marianne Clausel , François Roueff , Murad S. Taqqu , Ciprian A. Tudor