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High-dimensional matrix-variate time series data are becoming widely available in many scientific fields, such as economics, biology, and meteorology. To achieve significant dimension reduction while preserving the intrinsic matrix…

Methodology · Statistics 2022-10-20 Elynn Y. Chen , Ruey S. Tsay , Rong Chen

The minimization of some multivariate risk indicators may be used as an allocation method, as proposed in C\'enac et al. [6]. The aim of capital allocation is to choose a point in a simplex, according to a given criterion. In a previous…

Probability · Mathematics 2015-07-07 Véronique Maume-Deschamps , Didier Rullière , Khalil Said

Quantitative Investment, built on the solid foundation of robust financial theories, is at the center stage in investment industry today. The essence of quantitative investment is the multi-factor model, which explains the relationship…

Human-Computer Interaction · Computer Science 2019-10-15 Xuanwu Yue , Jiaxin Bai , Qinhan Liu , Yiyang Tang , Abishek Puri , Ke Li , Huamin Qu

The multinomial probit model is a popular tool for analyzing choice behaviour as it allows for correlation between choice alternatives. Because current model specifications employ a full covariance matrix of the latent utilities for the…

Econometrics · Economics 2021-03-25 Ruben Loaiza-Maya , Didier Nibbering

We consider Markov basis arising from fractional factorial designs with three-level factors. Once we have a Markov basis, $p$ values for various conditional tests are estimated by the Markov chain Monte Carlo procedure. For designed…

Methodology · Statistics 2009-11-22 Satoshi Aoki , Akimichi Takemura

Factor analysis provides linear factors that describe relationships between individual variables of a data set. We extend this classical formulation into linear factors that describe relationships between groups of variables, where each…

Machine Learning · Statistics 2014-12-03 Arto Klami , Seppo Virtanen , Eemeli Leppäaho , Samuel Kaski

Factor models are a class of powerful statistical models that have been widely used to deal with dependent measurements that arise frequently from various applications from genomics and neuroscience to economics and finance. As data are…

Methodology · Statistics 2018-08-14 Jianqing Fan , Kaizheng Wang , Yiqiao Zhong , Ziwei Zhu

The replication crisis in social and behavioral sciences has raised concerns about the reliability and validity of empirical studies. While research in the literature has explored contributing factors to this crisis, the issues related to…

Methodology · Statistics 2024-06-13 Dandan Tang , Steven M. Boker , Xin Tong

We give an explicit algorithm and source code for computing optimal weights for combining a large number N of alphas. This algorithm does not cost O(N^3) or even O(N^2) operations but is much cheaper, in fact, the number of required…

Portfolio Management · Quantitative Finance 2016-12-19 Zura Kakushadze , Willie Yu

Recommender systems are essential tools in the digital era, providing personalized content to users in areas like e-commerce, entertainment, and social media. Among the many approaches developed to create these systems, latent factor models…

Information Retrieval · Computer Science 2025-01-06 Hind I. Alshbanat , Hafida Benhidour , Said Kerrache

Confirmatory factor analysis (CFA) is a statistical method for identifying and confirming the presence of latent factors among observed variables through the analysis of their covariance structure. Compared to alternative factor models, CFA…

Methodology · Statistics 2024-10-08 Yifan Yang , Tianzhou Ma , Chuan Bi , Shuo Chen

Factor models are widely used for dimension reduction in the analysis of multivariate data. This is achieved through decomposition of a p x p covariance matrix into the sum of two components. Through a latent factor representation, they can…

Methodology · Statistics 2024-07-01 Sarah Elizabeth Heaps , Ian Hyla Jermyn

Factor models have large potencial in the modeling of several natural and human phenomena. In this paper we consider a multivariate time series $\mb{Y}_n$, ${n\geq 1}$, rescaled through random factors $\mb{T}_n$, ${n\geq 1}$, extending some…

Probability · Mathematics 2013-06-18 Helena Ferreira , Marta Ferreira

We consider statistical inference in factor analysis for ergodic and non-ergodic diffusion processes from discrete observations. Factor model based on high frequency time series data has been mainly discussed in the field of high…

Statistics Theory · Mathematics 2022-02-04 Shogo Kusano , Masayuki Uchida

This paper studies the estimation of characteristic-based quantile factor models where the factor loadings are unknown functions of observed individual characteristics while the idiosyncratic error terms are subject to conditional quantile…

Econometrics · Economics 2023-04-27 Liang Chen , Juan Jose Dolado , Jesus Gonzalo , Haozi Pan

We study the estimation of a high dimensional approximate factor model in the presence of both cross sectional dependence and heteroskedasticity. The classical method of principal components analysis (PCA) does not efficiently estimate the…

Methodology · Statistics 2012-10-01 Jushan Bai , Yuan Liao

We propose a methodology to construct tests for the null hypothesis that the pricing errors of a panel of asset returns are jointly equal to zero in a linear factor asset pricing model -- that is, the null of "zero alpha". We consider, as a…

Econometrics · Economics 2026-05-12 Daniele Massacci , Lucio Sarno , Lorenzo Trapani , Pierluigi Vallarino

In this study, MLP models with dynamic structure are applied to factor models for asset pricing tasks. Concretely, the MLP pyramid model structure was employed on firm-characteristic-sorted portfolio factors for modelling the large-capital…

Pricing of Securities · Quantitative Finance 2025-05-07 Shanyan Lai

We give a simple explicit algorithm for building multi-factor risk models. It dramatically reduces the number of or altogether eliminates the risk factors for which the factor covariance matrix needs to be computed. This is achieved via a…

Portfolio Management · Quantitative Finance 2017-11-07 Zura Kakushadze

Portfolio optimization approaches inevitably rely on multivariate modeling of markets and the economy. In this paper, we address three sources of error related to the modeling of these complex systems: 1. oversimplifying hypothesis; 2.…

Statistical Finance · Quantitative Finance 2021-03-30 Pier Francesco Procacci , Tomaso Aste
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