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In this paper, we revisit the classical goodness-of-fit problems for univariate distributions; we propose a new testing procedure based on a characterisation of the uniform distribution. Asymptotic theory for the simple hypothesis case is…

统计方法学 · 统计学 2021-08-17 Bruno Ebner , Shawn Liebenberg , Jaco Visagie

In the present paper, we develop a new goodness-of-fit test for the Birnbaum- Saunders distribution based on the probability plot. We utilize the sample correlation coefficient from the Birnbaum-Saunders probability plot as a measure of…

应用统计 · 统计学 2023-08-22 Chanseok Park , Min Wang

This paper proposes a parsimoniously time varying parameter vector autoregressive model (with exogenous variables, VARX) and studies the properties of the Lasso and adaptive Lasso as estimators of this model. The parameters of the model are…

统计理论 · 数学 2014-11-21 Laurent Callot , Johannes Tang Kristensen

In the framework of quantum optics, we study the problem of goodness-of-fit testing in a severely ill-posed inverse problem. A novel testing procedure is introduced and its rates of convergence are investigated under various smoothness…

统计理论 · 数学 2008-12-22 Katia Meziani

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

统计方法学 · 统计学 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

The paper considers the classical Goodness of Fit test. It suggests to use the Gamma distribution for the approximation of the distribution of the Pearson statistics with unknown parameters estimated from raw data. The parameters of these…

统计理论 · 数学 2019-05-21 Nikolai Dokuchaev

This paper formally derives the asymptotic distribution of a goodness-of-fit test based on the Kernel Stein Discrepancy introduced in (Oscar Key et al., "Composite Goodness-of-fit Tests with Kernels", Journal of Machine Learning Research…

统计理论 · 数学 2026-02-24 Florian Brück , Veronika Reimoser , Fabian Baier

Latent block models are used for probabilistic biclustering, which is shown to be an effective method for analyzing various relational data sets. However, there has been no statistical test method for determining the row and column cluster…

机器学习 · 统计学 2020-09-18 Chihiro Watanabe , Taiji Suzuki

We propose a semiparametric model to study the effect of covariates on the distribution of a censored event time while making minimal assumptions about the censoring mechanism. The result is a partially identified model, in the sense that…

统计方法学 · 统计学 2025-03-19 Ilias Willems , Jad Beyhum , Ingrid Van Keilegom

Generalized linear regressions, such as logistic regressions or Poisson regressions, are long-studied regression analysis approaches, and their applications are widely employed in various classification problems. Our study considers a…

机器学习 · 统计学 2024-01-17 Vu Duc Anh , Tran Anh Tuan , Tran Ngoc Thang , Nguyen Thi Ngoc Anh

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

统计理论 · 数学 2014-09-08 James E. Barrett , Anthony C. C. Coolen

Pareto distributions are widely used models in economics, finance and actuarial sciences. As a result, a number of goodness-of-fit tests have been proposed for these distributions in the literature. We provide an overview of the existing…

统计方法学 · 统计学 2022-11-21 L. Ndwandwe , J. S. Allison , L. Santana , I. J. H. Visagie

The Cox proportional hazards model is ubiquitous in the analysis of time-to-event data. However, when the data dimension p is comparable to the sample size $N$, maximum likelihood estimates for its regression parameters are known to be…

统计方法学 · 统计学 2020-01-08 M Sheikh , A. C. C. Coolen

We propose and study a general method for construction of consistent statistical tests on the basis of possibly indirect, corrupted, or partially available observations. The class of tests devised in the paper contains Neyman's smooth…

统计理论 · 数学 2017-09-22 Mikhail Langovoy

This paper introduces a new stochastic process with values in the set Z of integers with sign. The increments of process are Poisson differences and the dynamics has an autoregressive structure. We study the properties of the process and…

统计方法学 · 统计学 2020-02-12 Giulia Carallo , Roberto Casarin , Christian P. Robert

This paper studies goodness of fit tests and specification tests for an extension of the log-GARCH model which is stable by scaling. A Lagrange-Multiplier test is derived for testing the null assumption of extended log-GARCH against more…

统计理论 · 数学 2016-06-07 Christian Francq , Olivier Wintenberger , Jean-Michel Zakoïan

This paper develops power and sample size formulas for causal inference with time-to-event outcomes. The target estimand is the marginal hazard ratio: the coefficient of a marginal structural Cox proportional hazard model with treatment as…

统计方法学 · 统计学 2026-05-19 Chengxin Yang , Bo Liu , Fan Li

Many methods of estimating causal models do not provide estimates of confidence in the resulting model. In this work, a metric is proposed for validating the output of a causal model fit; the robustness of the model structure with resampled…

In this paper the problems of the retrospective analysis of models with time-varying structure are considered. These models include contamination models with randomly switching parameters and multivariate classification models with an…

统计理论 · 数学 2017-10-31 Boris Brodsky , Boris Darkhovsky

In this paper we introduce a novel statistical framework based on the first two quantile conditional moments that facilitates effective goodness-of-fit testing for one-sided L\'evy distributions. The scale-ratio framework introduced in this…

统计方法学 · 统计学 2023-11-28 Kewin Pączek , Damian Jelito , Marcin Pitera , Agnieszka Wyłomańska
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