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We consider stochastic optimization problems involving an expected value of a nonlinear function of a base random vector and a conditional expectation of another function depending on the base random vector, a dependent random vector, and…

最优化与控制 · 数学 2024-05-20 Andrzej Ruszczyński , Shangzhe Yang

Mixed modeling of extreme values and random effects is relatively unexplored topic. Computational difficulties in using the maximum likelihood method for mixed models and the fact that maximum likelihood method uses available data and does…

应用统计 · 统计学 2019-07-05 Ali Reza Fotouhi

In structural credit risk models, default events and the ensuing losses are both derived from the asset values at maturity. Hence it is of utmost importance to choose a distribution for these asset values which is in accordance with…

风险管理 · 定量金融 2016-01-13 Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

投资组合管理 · 定量金融 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

Experiments on decision making under uncertainty are known to display a classical pattern of risk aversion and risk seeking referred to as "fourfold pattern" (or "reflection effect") , but recent experiments varying the speed and order of…

神经元与认知 · 定量生物学 2024-01-17 Francesco Fumarola , Lukasz Kusmierz , Ronald B. Dekker

The probability distribution for the relative return of a portfolio constructed from a subset n of the assets from a benchmark, consisting of N assets whose returns are multivariate normal, is completely characterized by its tracking error.…

凝聚态物理 · 物理学 2007-05-23 Mark B. Wise , Vineer Bhansali

When treatment policy estimands are of interest, clinical trials often attempt to collect patient data after intercurrent events (ICEs), although such data are often limited. Retrieved dropout imputation methods, which use pre-ICE and…

统计方法学 · 统计学 2026-03-31 Brendah Nansereko , Marcel Wolbers , James R. Carpenter , Jonathan W. Bartlett

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

统计金融 · 定量金融 2025-08-19 Ixandra Achitouv

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

统计方法学 · 统计学 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei

In the field of road safety, it is common to use responsibility analyses to assess the effect of a given factor on the risk of being responsible for an accident, among drivers involved in an accident only. Even if this design is now widely…

统计方法学 · 统计学 2018-10-16 Marine Dufournet , Emilie Lanoy , Jean-Louis Martin , Vivian Viallon

We give sufficient conditions for the expected excess and the upper semideviation of recourse functions to be strongly convex. This is done in the setting of two-stage stochastic programs with complete linear recourse and random right-hand…

最优化与控制 · 数学 2018-02-20 Matthias Claus , Rüdiger Schultz , Kai Spürkel

This paper argues that the half-Cauchy distribution should replace the inverse-Gamma distribution as a default prior for a top-level scale parameter in Bayesian hierarchical models, at least for cases where a proper prior is necessary. Our…

统计方法学 · 统计学 2011-09-27 Nicholas G. Polson , James G. Scott

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

机器学习 · 统计学 2014-11-03 Ricardo Silva , Robin Evans

People often deviate from expected utility theory when making risky and intertemporal choices. While the effects of probabilistic risk and time delay have been extensively studied in isolation, their interplay and underlying theoretical…

理论经济学 · 经济学 2025-04-10 Ho Ka Chan , Taro Toyoizumi

Many statistical problems include model parameters that are defined as the solutions to optimization sub-problems. These include classical approaches such as profile likelihood as well as modern applications involving flow networks or…

统计方法学 · 统计学 2025-03-17 Cheng Zeng , Yaozhi Yang , Jason Xu , Leo L Duan

Uncertainty in economics still poses some fundamental problems illustrated, e.g., by the Allais and Ellsberg paradoxes. To overcome these difficulties, economists have introduced an interesting distinction between 'risk' and 'ambiguity'…

物理与社会 · 物理学 2013-01-08 Diederik Aerts , Sandro Sozzo

A simple quantum model explains the Levy-unstable distributions for individual stock returns observed by ref.[1]. The probability density function of the returns is written as the squared modulus of an amplitude. For short time intervals…

物理与社会 · 物理学 2008-12-02 Martin Schaden

Formulating a statistical inverse problem as one of inference in a Bayesian model has great appeal, notably for what this brings in terms of coherence, the interpretability of regularisation penalties, the integration of all uncertainties,…

统计理论 · 数学 2012-12-19 Natalia A. Bochkina , Peter J. Green

This paper presents a unified approach based on Wasserstein distance to derive concentration bounds for empirical estimates for two broad classes of risk measures defined in the paper. The classes of risk measures introduced include as…

统计理论 · 数学 2022-05-11 Prashanth L. A. , Sanjay P. Bhat