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We develop a monitoring procedure to detect changes in a large approximate factor model. Letting $r$ be the number of common factors, we base our statistics on the fact that the $\left( r+1\right) $-th eigenvalue of the sample covariance…

Methodology · Statistics 2022-02-03 Matteo Barigozzi , Lorenzo Trapani

The beta model is the most important distribution for fitting data with the unit interval. However, the beta distribution is not suitable to model bimodal unit interval data. In this paper, we propose a bimodal beta distribution constructed…

We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded subset D instead of…

Probability · Mathematics 2022-08-01 Yann Braouezec , John Cagnol

Association models for a pair of random elements $X$ and $Y$ (e.g., vectors) are considered which specify the odds ratio function up to an unknown parameter $\bolds\theta$. These models are shown to be semiparametric in the sense that they…

Statistics Theory · Mathematics 2009-03-05 Gerhard Osius

This paper discusses asymptotically distribution free tests for the classical goodness-of-fit hypothesis of an error distribution in nonparametric regression models. These tests are based on the same martingale transform of the residual…

Statistics Theory · Mathematics 2009-09-02 Estate V. Khmaladze , Hira L. Koul

Contagion arising from clustering of multiple time series like those in the stock market indicators can further complicate the nature of volatility, rendering a parametric test (relying on asymptotic distribution) to suffer from issues on…

Statistical Finance · Quantitative Finance 2025-03-05 Erniel B. Barrios , Paolo Victor T. Redondo

We study the problem of active nonparametric sequential two-sample testing over multiple heterogeneous data sources. In each time slot, a decision-maker adaptively selects one of $K$ data sources and receives a paired sample generated from…

Statistics Theory · Mathematics 2025-12-30 Chia-Yu Hsu , Shubhanshu Shekhar

This work is concerned with tests on structural breaks in the spot volatility process of a general It\^o semimartingale based on discrete observations contaminated with i.i.d. microstructure noise. We construct a consistent test building up…

Statistics Theory · Mathematics 2018-09-25 Markus Bibinger , Mehmet Madensoy

We discuss a bivariate beta distribution that can model arbitrary beta-distributed marginals with a positive correlation. The distribution is constructed from six independent gamma-distributed random variates. We show how the parameters of…

Statistics Theory · Mathematics 2021-06-03 Susanne Trick , Frank Jäkel , Constantin A. Rothkopf

In this paper, we introduce an asymptotic test procedure to assess the stability of volatilities and cross-volatilites of linear and nonlinear multivariate time series models. The test is very flexible as it can be applied, for example, to…

Statistics Theory · Mathematics 2009-11-20 Alexander Aue , Siegfried Hörmann , Lajos Horváth , Matthew Reimherr

We propose a new $L^2$-type goodness-of-fit test for the family of beta distributions based on a conditional moment characterisation. The asymptotic null distribution is identified, and since it depends on the underlying parameters, a…

Methodology · Statistics 2020-09-30 Bruno Ebner , Shawn C. Liebenberg

Symmetry plays a central role in the sciences, machine learning, and statistics. For situations in which data are known to obey a symmetry, a multitude of methods that exploit symmetry have been developed. Statistical tests for the presence…

Methodology · Statistics 2024-12-24 Kenny Chiu , Benjamin Bloem-Reddy

We propose consistent nonparametric tests of conditional independence for time series data. Our methods are motivated from the difference between joint conditional cumulative distribution function (CDF) and the product of conditional CDFs.…

Econometrics · Economics 2021-10-12 Xiaojun Song , Haoyu Wei

In this article, we propose a new nonparametric data analysis tool, which we call nonparametric modal regression, to investigate the relationship among interested variables based on estimating the mode of the conditional density of a…

Methodology · Statistics 2016-02-23 Weixin Yao , Sijia Xiang

In this paper, we propose a price staleness factor model that accounts for pervasive market friction across assets and incorporates relevant covariates. Using large-panel high-frequency data, we derive the maximum likelihood estimators of…

Statistics Theory · Mathematics 2026-04-07 Xinbing Kong , Bin Wu , Wuyi Ye

This paper studies new tests for the number of latent factors in a large cross-sectional factor model with small time dimension. These tests are based on the eigenvalues of variance-covariance matrices of (possibly weighted) asset returns,…

Econometrics · Economics 2022-10-31 Alain-Philippe Fortin , Patrick Gagliardini , Olivier Scaillet

This article proposes a novel test for the martingale difference hypothesis based on the martingale difference divergence function, a recently developed dependence measure suitable for measuring the degree of conditional mean dependence of…

Applications · Statistics 2023-11-10 Luca Mattia Rolla

We propose a new nonparametric test for the supposition of independence between two continuous random variables. The test is based on the size of the longest increasing subsequence of a random permutation. We identified the independence…

Methodology · Statistics 2015-03-13 Jesus E. Garcia , Veronica A. Gonzalez-Lopez

High-dimensional covariates often admit linear factor structure. To effectively screen correlated covariates in high-dimension, we propose a conditional variable screening test based on non-parametric regression using neural networks due to…

Econometrics · Economics 2024-08-21 Jianqing Fan , Weining Wang , Yue Zhao

This paper is concerned with tests for changes in the jump behaviour of a time-continuous process. Based on results on weak convergence of a sequential empirical tail integral process, asymptotics of certain tests statistics for breaks in…

Methodology · Statistics 2014-12-18 Axel Bücher , Michael Hoffmann , Mathias Vetter , Holger Dette