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Related papers: Goodness-of-fit Test for Latent Block Models

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A novel goodness-of-fit strategy is introduced for testing models of angular power spectra with unknown parameters. Using this strategy, it is possible to assess the validity of such models without specifying the distribution of the angular…

Data Analysis, Statistics and Probability · Physics 2026-01-30 Sara Algeri , Xiangyu Zhang , Erik Floden , Hongru Zhao , Galin L. Jones , Vuk Mandic , Jesse Miller

In this work we deal with the problem of fitting an error density to the goodness-of-fit test of the errors in nonlinear autoregressive time series models with stationary $\alpha$-mixing error terms. The test statistic is based on the…

Statistics Theory · Mathematics 2014-08-15 Kyong-Hui Kim , Myong-Guk Sin , Ok-Kyong Kim

Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with…

Logic in Computer Science · Computer Science 2010-05-11 Axel Legay , Benoit Delahaye

Using fixed point characterization, we develop a new goodness of fit test for uniform distribution. We also discuss how the right censored observations can be incorporated in the proposed test procedure. We study the asymptotic properties…

Methodology · Statistics 2021-06-14 Sudheesh K. Kattumannil , Sreedevi E. P

The latent class model is a powerful tool for identifying latent classes within populations that share common characteristics for categorical data in social, psychological, and behavioral sciences. In this article, we propose two new…

Machine Learning · Computer Science 2023-10-31 Huan Qing

Ideally, all analyses of normally distributed data should include the full covariance information between all data points. In practice, the full covariance matrix between all data points is not always available. Either because a result was…

Methodology · Statistics 2026-02-23 Lukas Koch

Linear regression models are among the models most used in practice, although the practitioners are often not sure whether their assumed linear regression model is at least approximately true. In such situations, only designs for which the…

Statistics Theory · Mathematics 2007-06-13 Wolfgang Bischoff , Frank Miller

We consider spatially homogeneous marked point patterns in an unboundedly expanding convex sampling window. Our main objective is to identify the distribution of the typical mark by constructing an asymptotic $\chi^2$-goodness-of-fit test.…

Statistics Theory · Mathematics 2016-08-10 Lothar Heinrich , Sebastian Lück , Volker Schmidt

The paper concerns inference in the ill-conditioned functional response model, which is a part of functional data analysis. In this regression model, the functional response is modeled using several independent scalar variables. To verify…

Methodology · Statistics 2024-10-07 Łukasz Smaga , Natalia Stefańska

In cluster analysis interest lies in probabilistically capturing partitions of individuals, items or observations into groups, such that those belonging to the same group share similar attributes or relational profiles. Bayesian posterior…

Methodology · Statistics 2017-03-23 Riccardo Rastelli , Nial Friel

Among the various models designed for dependent count data, integer-valued autoregressive (INAR) processes enjoy great popularity. Typically, statistical inference for INAR models uses asymptotic theory that relies on rather stringent…

Methodology · Statistics 2024-10-16 Maxime Faymonville , Carsten Jentsch , Christian H. Weiß

In this paper a new class of uniformity tests is proposed. It is shown that those tests are applicable to the cases of any simple null hypothesis as well as for the composite null hypothesis of rectangular distributions on arbitrary…

Methodology · Statistics 2018-08-21 Bojana Milošević

The identification of most relevant clinical criteria related to low back pain disorders may aid the evaluation of the nature of pain suffered in a way that usefully informs patient assessment and treatment. Data concerning low back pain…

Methodology · Statistics 2018-02-06 Michael Fop , Keith Smart , Thomas Brendan Murphy

We consider two division models for structured cell populations, where cells can grow, age and divide. These models have been introduced in the literature under the denomination of `mitosis' and `adder' models. In the recent years, there…

Fitting mixture distributions is needed in applications where data belongs to inhomogeneous populations comprising homogeneous sub-populations. The mixing proportions of the sub populations are in general unknown and need to be estimated as…

Methodology · Statistics 2019-12-10 Richard A. Lockhart , Chandanie W. Navaratna

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

Methodology · Statistics 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco

Linear regression models depend directly on the design matrix and its properties. Techniques that efficiently estimate model coefficients by partitioning rows of the design matrix are increasingly popular for large-scale problems because…

Machine Learning · Statistics 2019-07-23 Michael J. Kane , Bryan Lewis , Sekhar Tatikonda , Simon Urbanek

A Monte Carlo simulation was used to determine which assumptions for ordered categorical data, continuity vs. discrete categories, most frequently identifies the underlying factor structure when a response variable has five ordered…

Applications · Statistics 2020-09-17 R. Noah Padgett , Rebecca J. Tipton

Probabilistic generative models of graphs are important tools that enable representation and sampling. Many recent works have created probabilistic models of graphs that are capable of representing not only entity interactions but also…

Machine Learning · Computer Science 2023-08-09 Pablo Robles-Granda , Katherine Tsai , Oluwasanmi Koyejo