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This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

统计方法学 · 统计学 2017-07-06 Michael GB Blum

We analyze the problem of the analytical characterization of the probability distribution of financial returns in the exponential Ornstein-Uhlenbeck model with stochastic volatility. In this model the prices are driven by a Geometric…

计算金融 · 定量金融 2009-11-13 Giacomo Bormetti , Valentina Cazzola , Guido Montagna , Oreste Nicrosini

Prediction is a central task of statistics and machine learning, yet many inferential settings provide only partial information, typically in the form of moment constraints or estimating equations. We develop a finite, fully Bayesian…

统计理论 · 数学 2026-03-20 Nicholas G. Polson , Daniel Zantedeschi

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

应用统计 · 统计学 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

In this paper, we give a Breiman's theorem for conditional dependent random vector, where one component has a regularly-varying-tailed distribution with the index $\alpha\ge0$ and its slowly varying function satisfies a relaxed condition,…

概率论 · 数学 2024-06-06 Zhaolei Cui , Yuebao Wang

Foundation models - already transformative in domains such as natural language processing - are now starting to emerge for time-series tasks in finance. While these pretrained architectures promise versatile predictive signals, little is…

计算工程、金融与科学 · 计算机科学 2025-10-21 Jinrui Zhang

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

统计方法学 · 统计学 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

统计方法学 · 统计学 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

A spin model is used for simulations of financial markets. To determine return volatility in the spin financial market we use the GARCH model often used for volatility estimation in empirical finance. We apply the Bayesian inference…

计算金融 · 定量金融 2016-11-28 Tetsuya Takaishi

In the field of operational modal analysis (OMA), obtained modal information is frequently used to assess the current state of aerospace, mechanical, offshore and civil structures. However, the stochasticity of operational systems and the…

机器学习 · 统计学 2025-07-04 Brandon J. O'Connell , Max D. Champneys , Timothy J. Rogers

We propose a robust Bayesian method for economic models that can be rejected by some data distributions. The econometrician starts with a refutable structural assumption which can be written as the intersection of several assumptions. To…

计量经济学 · 经济学 2024-09-18 Moyu Liao

We propose autoregressive Bayesian semi-parametric models for waiting times between recurrent events. The aim is two-fold: inference on the effect of possibly time-varying covariates on the gap times and clustering of individuals based on…

应用统计 · 统计学 2016-07-28 Marta Tallarita , Maria De Iorio , Alessandra Guglielmi , James Malone-Lee

Quantitative studies of irreversibility in statistical mechanics often involve the consideration of a reverse process, whose definition has been the object of many discussions, in particular for quantum mechanical systems. Here we show that…

量子物理 · 物理学 2021-05-12 Francesco Buscemi , Valerio Scarani

Offline Reinforcement learning is commonly used for sequential decision-making in domains such as healthcare and education, where the rewards are known and the transition dynamics $T$ must be estimated on the basis of batch data. A key…

机器学习 · 计算机科学 2023-08-10 Leo Benac , Sonali Parbhoo , Finale Doshi-Velez

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

统计方法学 · 统计学 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

There are various metrics for financial risk, such as value at risk (VaR), expected shortfall, expected/unexpected loss, etc. When estimating these metrics, it was very common to assume Gaussian distribution for the asset returns, which may…

应用统计 · 统计学 2020-02-17 Shuguang Zhang , Minjing Tao , Xu-Feng Niu , Fred Huffer

It is essential to incorporate the impact of investor behavior when modeling the dynamics of asset returns. In this paper, we reconcile behavioral finance and rational finance by incorporating investor behavior within the framework of…

数理金融 · 定量金融 2020-04-23 Abootaleb Shirvani , Yuan Hu , Svetlozar T. Rachev , Frank J. Fabozzi

The "backward simulation" of a stochastic process is defined as the stochastic dynamics that trace a time-reversed path from the target region to the initial configuration. If the probabilities calculated by the original simulation are…

数据分析、统计与概率 · 物理学 2019-01-29 Shinichi Takayanagi , Yukito Iba

We present an algorithm for arc reversal in Bayesian networks with tree-structured conditional probability tables, and consider some of its advantages, especially for the simulation of dynamic probabilistic networks. In particular, the…

人工智能 · 计算机科学 2013-02-08 Adrian Y. W. Cheuk , Craig Boutilier

The research questions that motivate transportation safety studies are causal in nature. Safety researchers typically use observational data to answer such questions, but often without appropriate causal inference methodology. The field of…

应用统计 · 统计学 2011-07-26 Vishesh Karwa , Aleksandra B. Slavković , Eric T. Donnell