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We propose a new model for nonstationary integer-valued time series which is particularly suitable for data with a strong trend. In contrast to popular Poisson-INGARCH models, but in line with classical GARCH models, we propose to pick the…

Statistics Theory · Mathematics 2024-03-28 Anne Leucht , Michael H. Neumann

Tests of goodness of fit are used in nearly every domain where statistics is applied. One powerful and flexible approach is to sample artificial data sets that are exchangeable with the real data under the null hypothesis (but not under the…

Methodology · Statistics 2026-04-07 Ritwik Bhaduri , Aabesh Bhattacharyya , Rina Foygel Barber , Lucas Janson

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…

Methodology · Statistics 2024-04-09 Niklas Hartung , Martin Wahl , Abhishake Rastogi , Wilhelm Huisinga

Count data appears in various disciplines. In this work, a new method to analyze time series count data has been proposed. The method assumes exponentially decaying covariance structure, a special class of the Mat\'ern covariance function,…

Methodology · Statistics 2021-02-19 Soudeep Deb

Modeling data with multivariate count responses is a challenging problem due to the discrete nature of the responses. Existing methods for univariate count responses cannot be easily extended to the multivariate case since the dependency…

Methodology · Statistics 2016-08-15 Hao Wu , Xinwei Deng , Naren Ramakrishnan

New goodness-of-fit tests for Markovian models in time series analysis are developed which are based on the difference between a fully nonparametric estimate of the one-step transition distribution function of the observed process and that…

Statistics Theory · Mathematics 2008-12-18 Michael H. Neumann , Efstathios Paparoditis

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…

Methodology · Statistics 2021-04-28 Sean van der Merwe

The penalized Cox proportional hazard model is a popular analytical approach for survival data with a large number of covariates. Such problems are especially challenging when covariates vary over follow-up time (i.e., the covariates are…

Methodology · Statistics 2021-06-10 Steve Cygu , Jonathan Dushoff , Benjamin M. Bolker

This paper studies the model selection problem in a large class of causal time series models, which includes both the ARMA or AR($\infty$) processes, as well as the GARCH or ARCH($\infty$), APARCH, ARMA-GARCH and many others processes. To…

Statistics Theory · Mathematics 2019-07-24 Jean-Marc Bardet , Kare Kamila , William Kengne

In this work, a goodness-of-fit test for the null hypothesis of a functional linear model with scalar response is proposed. The test is based on a generalization to the functional framework of a previous one, designed for the…

Modelling the first-order intensity function is one of the main aims in point process theory, and it has been approached so far from different perspectives. One appealing model describes the intensity as a function of a spatial covariate.…

Methodology · Statistics 2018-07-03 M. I. Borrajo , W. González-Manteiga , M. D. Martínez-Miranda

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…

Statistics Theory · Mathematics 2016-10-12 Marie Hušková , Natalie Neumeyer , Tobias Niebuhr , Leonie Selk

In this paper, we propose a new test for checking the parametric form of the conditional variance based on distance covariance in nonlinear and nonparametric regression models. Inherit from the nice properties of distance covariance, our…

Methodology · Statistics 2022-05-19 Yue Hu , Haiqi Li , Falong Tan

We consider the model selection problem for a large class of time series models, including, multivariate count processes, causal processes with exogenous covariates. A procedure based on a general penalized contrast is proposed. Some…

Statistics Theory · Mathematics 2022-02-01 William Kengne

We propose a new class of goodness-of-fit tests for the inverse Gaussian distribution. The proposed tests are weighted $L^2$-type tests depending on a tuning parameter. We develop the asymptotic theory under the null hypothesis and under a…

Methodology · Statistics 2022-01-31 J. S. Allison , S. Betsch , B. Ebner , I. J. H. Visagie

This article describes an extension of classical \chi^2 goodness-of-fit tests to Bayesian model assessment. The extension, which essentially involves evaluating Pearson's goodness-of-fit statistic at a parameter value drawn from its…

Statistics Theory · Mathematics 2007-06-13 Valen E. Johnson

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

Machine Learning · Computer Science 2023-02-21 Shalev Shaer , Yaniv Romano

In this paper, a new goodness-of-fit test for a location-scale family based on progressively Type-II censored order statistics is proposed. Using Monte Carlo simulation studies, the present researchers have observed that the proposed test…

Statistics Theory · Mathematics 2017-04-25 Hamzeh Torabi , Sayyed Mahmoud Mirjalili , Hossein Nadeb

A new forecasting method based on the concept of the profile predictive the likelihood function is proposed for discrete-valued processes. In particular, generalized autoregressive and moving average (GARMA) models for Poisson distributed…

Applications · Statistics 2018-07-10 Siuli Mukhopadhyay , V. Sathish

Parametric max-stable processes are increasingly used to model spatial extremes. Starting from the fact that the dependence structure of a max-stable process is completely characterized by an extreme-value copula, a class of goodness-of-fit…

Methodology · Statistics 2015-02-27 Ivan Kojadinovic , Hongwei Shang , Jun Yan