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We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of variance (square of volatility) under fixed…

证券定价 · 定量金融 2011-07-29 Mikhail Martynov , Olga Rozanova

Aggregated data is commonplace in areas such as epidemiology and demography. For example, census data for a population is usually given as averages defined over time periods or spatial resolutions (cities, regions or countries). In this…

机器学习 · 统计学 2020-02-20 Fariba Yousefi , Michael Thomas Smith , Mauricio A. Álvarez

Regression models describing the joint distribution of multivariate response variables conditional on covariate information have become an important aspect of contemporary regression analysis. However, a limitation of such models is that…

统计方法学 · 统计学 2023-06-27 Nadja Klein , Torsten Hothorn , Luisa Barbanti , Thomas Kneib

This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

统计方法学 · 统计学 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

We describe a new method for evaluating Bayes factors. The key idea is to introduce a hypermodel in which the competing models are components of a mixture distribution. Inference for the mixing probabilities then yields estimates of the…

统计方法学 · 统计学 2016-02-16 Philip D. O'Neill , Theodore Kypraios

Spatio-temporal processes in environmental applications are often assumed to follow a Gaussian model, possibly after some transformation. However, heterogeneity in space and time might have a pattern that will not be accommodated by…

应用统计 · 统计学 2021-10-15 Thaís C. O. da Fonseca , Viviana G. R. Lobo , Alexandra M. Schmidt

Bayesian networks provide a method of representing conditional independence between random variables and computing the probability distributions associated with these random variables. In this paper, we extend Bayesian network structures to…

人工智能 · 计算机科学 2013-02-21 Eric Driver , Darryl Morrell

Bayesian networks are a versatile and powerful tool to model complex phenomena and the interplay of their components in a probabilistically principled way. Moving beyond the comparatively simple case of completely observed, static data,…

统计方法学 · 统计学 2020-11-04 Marco Scutari

The correct characterization of uncertainty when predicting human motion is equally important as the accuracy of this prediction. We present a new method to correctly predict the uncertainty associated with the predicted distribution of…

计算机视觉与模式识别 · 计算机科学 2021-12-14 Aleksey Postnikov , Aleksander Gamayunov , Gonzalo Ferrer

We propose a novel Bayesian framework for the joint modeling of survey point and variance estimates for count data. The approach incorporates an induced prior distribution on the modeled true variance that sets it equal to the generating…

统计方法学 · 统计学 2022-10-27 Terrance D. Savitsky , Julie Gershunskaya , Mark Crankshaw

This work presents the spatial error model with heteroskedasticity, which allows the joint modeling of the parameters associated with both the mean and the variance, within a traditional approach to spatial econometrics. The estimation…

统计方法学 · 统计学 2024-11-21 J. D. Toloza , O. O. Melo , N. A. Cruz

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

统计方法学 · 统计学 2025-04-08 Qiushuang Li , Recai Yucel

We propose a model averaging approach, combined with a partition and matching method to estimate the conditional average treatment effects under heteroskedastic error settings. The proposed approach has asymptotic optimality and consistency…

统计方法学 · 统计学 2024-12-17 Pengfei Shi , Xinyu Zhang , Wei Zhong

Seemingly unrelated regression is a natural framework for regressing multiple correlated responses on multiple predictors. The model is very flexible, with multiple linear regression and covariance selection models being special cases.…

统计方法学 · 统计学 2019-07-23 Yunfan Li , Jyotishka Datta , Bruce A. Craig , Anindya Bhadra

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

计量经济学 · 经济学 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

From medical diagnosis to autonomous vehicles, critical applications rely on the integration of multiple heterogeneous data modalities. Multimodal Variational Autoencoders offer versatile and scalable methods for generating unobserved…

机器学习 · 计算机科学 2025-02-07 Agathe Senellart , Stéphanie Allassonnière

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

统计方法学 · 统计学 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

统计方法学 · 统计学 2020-02-10 Shonosuke Sugasawa

To investigate intervention effects on rare events, meta-analysis techniques are commonly applied in order to assess the accumulated evidence. When it comes to adverse effects in clinical trials, these are often most adequately handled…

统计方法学 · 统计学 2026-04-03 Christian Röver , Qiong Wu , Anja Loos , Tim Friede

This paper demonstrates the advantages of sharing information about unknown features of covariates across multiple model components in various nonparametric regression problems including multivariate, heteroscedastic, and semi-continuous…

统计方法学 · 统计学 2019-06-11 Antonio R. Linero , Debajyoti Sinha , Stuart R. Lipsitz