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We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time-homogeneous Markov chain.…

Risk Management · Quantitative Finance 2024-03-25 Michael Kalkbrener , Natalie Packham

The changes in user preferences can originate from substantial reasons, like personality shift, or transient and circumstantial ones, like seasonal changes in item popularities. Disregarding these temporal drifts in modelling user…

Information Retrieval · Computer Science 2018-03-01 F. Zafari , I. Moser , T. Baarslag

This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework naturally arises in both financial and insurance applications, where the default intensity of a…

Mathematical Finance · Quantitative Finance 2026-01-12 Matteo Buttarazzi , Claudia Ceci

Change-point detection and estimation procedures have been widely developed in the literature. However, commonly used approaches in change-point analysis have mainly been focusing on detecting change-points within an entire time series…

Methodology · Statistics 2024-05-27 Chak Fung Choi , Chunxue Li , Chun Yip Yau , Zifeng Zhao

We present two methodologies on the estimation of rating transition probabilities within Markov and non-Markov frameworks. We first estimate a continuous-time Markov chain using discrete (missing) data and derive a simpler expression for…

Risk Management · Quantitative Finance 2020-02-04 Marius Pfeuffer , Goncalo dos Reis , Greig smith

We propose a novel two-regime regression model where regime switching is driven by a vector of possibly unobservable factors. When the factors are latent, we estimate them by the principal component analysis of a panel data set. We show…

Econometrics · Economics 2022-08-11 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

We study a novel large dimensional approximate factor model with regime changes in the loadings driven by a latent first order Markov process. By exploiting the equivalent linear representation of the model, we first recover the latent…

Econometrics · Economics 2024-12-04 Matteo Barigozzi , Daniele Massacci

We address a portfolio selection problem that combines active (outperformance) and passive (tracking) objectives using techniques from convex analysis. We assume a general semimartingale market model where the assets' growth rate processes…

Portfolio Management · Quantitative Finance 2019-03-19 Ali Al-Aradi , Sebastian Jaimungal

We present a continuous-time maximum likelihood estimation methodology for credit rating transition probabilities, taking into account the presence of censored data. We perform rolling estimates of the transition matrices with exponential…

Statistical Finance · Quantitative Finance 2009-12-24 Arthur M. Berd

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized items for different users. Latent factors based collaborative filtering (CF) has become the popular approaches for…

Information Retrieval · Computer Science 2021-01-15 Guang-Neng Hu , Xin-Yu Dai , Feng-Yu Qiu , Rui Xia , Tao Li , Shu-Jian Huang , Jia-Jun Chen

In banking practice, rating transition matrices have become the standard approach of deriving multi-year probabilities of default (PDs) from one-year PDs, the latter normally being available from Basel ratings. Rating transition matrices…

Risk Management · Quantitative Finance 2022-01-19 Volodymyr Perederiy

We propose a new method for the estimation of parameters of hidden diffusion processes. Based on parametrization of the transition matrix, the Baum-Welch algorithm is improved. The algorithm is compared to the particle filter in application…

Data Structures and Algorithms · Computer Science 2007-05-23 A. Benabdallah , G. Radons

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

This paper investigates a financial market where stock returns depend on a hidden Gaussian mean reverting drift process. Information on the drift is obtained from returns and expert opinions in the form of noisy signals about the current…

Mathematical Finance · Quantitative Finance 2020-03-24 Abdelali Gabih , Hakam Kondakji , Ralf Wunderlich

Educational assessments are valuable tools for measuring student knowledge and skills, but their validity can be compromised when test takers exhibit changes in response behavior due to factors such as time pressure. To address this issue,…

Methodology · Statistics 2025-05-06 Gabriel Wallin , Yunxiao Chen , Yi-Hsuan Lee , Xiaoou Li

Regime-switching models, in particular Hidden Markov Models (HMMs) where the switching is driven by an unobservable Markov chain, are widely-used in financial applications, due to their tractability and good econometric properties. In this…

Statistical Finance · Quantitative Finance 2016-02-18 Vikram Krishnamurthy , Elisabeth Leoff , Jörn Sass

The well-known Kalman filters model dynamical systems by relying on state-space representations with the next state updated, and its uncertainty controlled, by fresh information associated with newly observed system outputs. This paper…

Machine Learning · Computer Science 2023-06-21 Cesare Alippi , Daniele Zambon

In many applications, observed data are influenced by some combination of latent causes. For example, suppose sensors are placed inside a building to record responses such as temperature, humidity, power consumption and noise levels. These…

Machine Learning · Statistics 2020-07-16 Sinead A. Williamson , Michael Minyi Zhang , Paul Damien

Matrix factorization is a key component of collaborative filtering-based recommendation systems because it allows us to complete sparse user-by-item ratings matrices under a low-rank assumption that encodes the belief that similar users…

Machine Learning · Statistics 2016-04-22 Aleksandr Y. Aravkin , Kush R. Varshney , Liu Yang

We propose a novel approach to sentiment data filtering for a portfolio of assets. In our framework, a dynamic factor model drives the evolution of the observed sentiment and allows to identify two distinct components: a long-term…

General Finance · Quantitative Finance 2020-09-08 Danilo Vassallo , Giacomo Bormetti , Fabrizio Lillo
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