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A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

综合金融 · 定量金融 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

Combinatorial auctions are formulated as frustrated lattice gases on sparse random graphs, allowing the determination of the optimal revenue by methods of statistical physics. Transitions between computationally easy and hard regimes are…

The rapid emergence of massive datasets in various fields poses a serious challenge to traditional statistical methods. Meanwhile, it provides opportunities for researchers to develop novel algorithms. Inspired by the idea of…

统计计算 · 统计学 2023-04-14 Yuan Gao , Weidong Liu , Hansheng Wang , Xiaozhou Wang , Yibo Yan , Riquan Zhang

We generalize the Arbitrage Pricing Theory (APT) to include the contribution of virtual arbitrage opportunities. We model the arbitrage return by a stochastic process. The latter is incorporated in the APT framework to calculate the…

统计力学 · 物理学 2008-12-10 Kirill Ilinski

We consider turn-based game arenas for which we investigate uniformity properties of strategies. These properties involve bundles of plays, that arise from some semantical motive. Typically, we can represent constraints on allowed…

计算机科学与博弈论 · 计算机科学 2012-12-04 Bastien Maubert , Sophie Pinchinat

Staggered treatment adoption arises in the evaluation of policy impact and implementation in many settings, including both randomized stepped-wedge trials and non-randomized quasi-experiments with panel data. In both settings, getting an…

统计方法学 · 统计学 2024-10-14 Lee Kennedy-Shaffer

The existence of the {\em typical set} is key for data compression strategies and for the emergence of robust statistical observables in macroscopic physical systems. Standard approaches derive its existence from a restricted set of…

统计力学 · 物理学 2022-02-10 Rudolf Hanel , Bernat Corominas-Murtra

We consider the Brownian market model and the problem of expected utility maximization of terminal wealth. We, specifically, examine the problem of maximizing the utility of terminal wealth under the presence of transaction costs of a…

交易与市场微观结构 · 定量金融 2008-12-02 Theodoros Tsagaris

We study the variant of the stable marriage problem in which the preferences of the agents are allowed to include indifferences. We present a mechanism for producing Pareto-stable matchings in stable marriage markets with indifferences that…

计算机科学与博弈论 · 计算机科学 2017-10-13 Nevzat Onur Domaniç , Chi-Kit Lam , C. Gregory Plaxton

We consider the general model of zero-sum repeated games (or stochastic games with signals), and assume that one of the players is fully informed and controls the transitions of the state variable. We prove the existence of the uniform…

最优化与控制 · 数学 2009-04-20 Jérôme Renault

We first estimate the average growth of a company's annual income and its variance by using both real company data and a numerical model which we already introduced a couple of years ago. Investment strategies expecting for income growth is…

统计力学 · 物理学 2008-12-10 Takayuki Mizuno , Shoko Kurihara , Misako Takayasu , Hideki Takayasu

Existence of stochastic financial equilibria giving rise to semimartingale asset prices is established under a general class of assumptions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal…

证券定价 · 定量金融 2008-12-02 Gordan Zitkovic

We establish deterministic necessary and sufficient conditions for the no-arbitrage notions "no increasing profit" (NIP), "no strong arbitrage" (NSA) and "no unbounded profit with bounded risk" (NUPBR) in one-dimensional general diffusion…

数理金融 · 定量金融 2025-03-19 Alexis Anagnostakis , David Criens , Mikhail Urusov

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

最优化与控制 · 数学 2013-01-08 Enlu Zhou , Jiaqiao Hu

Triangular arbitrage is a profitable trading strategy in financial markets that exploits discrepancies in currency exchange rates. Traditional methods for detecting triangular arbitrage opportunities, such as exhaustive search algorithms…

交易与市场微观结构 · 定量金融 2025-10-14 Di Zhang

We propose and analyze a novel theoretical and algorithmic framework for structured prediction. While so far the term has referred to discrete output spaces, here we consider more general settings, such as manifolds or spaces of probability…

机器学习 · 统计学 2020-02-14 Carlo Ciliberto , Lorenzo Rosasco , Alessandro Rudi

Gradient boosting is a state-of-the-art prediction technique that sequentially produces a model in the form of linear combinations of simple predictors---typically decision trees---by solving an infinite-dimensional convex optimization…

统计理论 · 数学 2017-07-18 Gérard Biau , Benoît Cadre

This paper proves several Tauberian theorems for general iterations of operators, and provides two applications to zero-sum stochastic games where the total payoff is a weighted sum of the stage payoffs. The first application is to provide…

最优化与控制 · 数学 2016-09-09 Bruno Ziliotto

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

数据分析、统计与概率 · 物理学 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

We propose a new modeling approach that is a generalization of generative and discriminative models. The core idea is to use an implicit parameterization of a joint probability distribution by specifying only the conditional distributions.…

机器学习 · 计算机科学 2016-12-06 Dmitrij Schlesinger , Carsten Rother
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