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In this work, we introduce a new acquisition function for sequential sampling to efficiently quantify rare-event statistics of an input-to-response (ItR) system with given input probability and expensive function evaluations. Our…

机器人学 · 计算机科学 2023-10-24 Xianliang Gong , Yulin Pan

In survey statistics, the usual technique for estimating a population total consists in summing appropriately weighted variable values for the units in the sample. Different weighting systems exit: sampling weights, GREG weights or…

统计方法学 · 统计学 2012-01-09 François Coquet , Éric Lesage

This paper aims to provide a practical example on the assessment and propagation of input uncertainty for option pricing when using tree-based methods. Input uncertainty is propagated into output uncertainty, reflecting that option prices…

计算工程、金融与科学 · 计算机科学 2007-05-23 Henryk Gzyl , German Molina , Enrique ter Horst

Umbrella sampling efficiently yields equilibrium averages that depend on exploring rare states of a model by biasing simulations to windows of coordinate values and then combining the resulting data with physical weighting. Here, we…

统计力学 · 物理学 2016-09-21 Erik Thiede , Brian Van Koten , Jonathan Weare , Aaron R. Dinner

A common method for assessing validity of Bayesian sampling or approximate inference methods makes use of simulated data replicates for parameters drawn from the prior. Under continuity assumptions, quantiles of functions of the simulated…

统计计算 · 统计学 2019-11-21 Xuejun Yu , David J. Nott , Minh-Ngoc Tran , Nadja Klein

This study proposes a mixture cure model that latently divides a population based on event occurrence within a finite time horizon. Conventional models rely on event occurrence over an infinite horizon, introducing untestable assumptions…

统计方法学 · 统计学 2026-05-11 Yuji Komiyama , Yasumasa Matsuda , Masakazu Ishihara

A derivative is a financial security whose value is a function of underlying traded assets and market outcomes. Pricing a financial derivative involves setting up a market model, finding a martingale (``fair game") probability measure for…

量子物理 · 物理学 2022-09-20 Patrick Rebentrost , Alessandro Luongo , Samuel Bosch , Seth Lloyd

We analyse the ruin probabilities for a renewal insurance risk process with inter-arrival time distributions depending on the claims that arrived within a fixed (past) time window. This dependence could be explained through a regenerative…

概率论 · 数学 2016-04-22 Corina Constantinescu , Suhang Dai , Weihong Ni , Zbigniew Palmowski

We propose and estimate a model of demand and supply of annuities. To this end, we use rich data from Chile, where annuities are bought and sold in a private market via a two-stage process: first-price auctions followed by bargaining. We…

综合经济学 · 经济学 2021-06-30 Gaurab Aryal , Eduardo Fajnzylber , Maria F. Gabrielli , Manuel Willington

Systems of indirect voting based on the principle of qualified majority can be analysed using the methods of game theory. In particular, this applies to the voting system in the Council of the European Union, which was recently a subject of…

物理与社会 · 物理学 2007-05-23 Wojciech Slomczynski , Karol Zyczkowski

In this paper we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with a priori unions. In the case of the equal…

计算机科学与博弈论 · 计算机科学 2024-01-31 J. M. Alonso-Meijide , J. Costa , I. García-Jurado , J. C. Gonçalves-Dosantos

In this paper we will develop a methodology for obtaining pricing expressions for financial instruments whose underlying asset can be described through a simple continuous-time random walk (CTRW) market model. Our approach is very natural…

证券定价 · 定量金融 2008-12-02 Miquel Montero

A novel method is proposed to infer Bayesian predictions of computationally expensive models. The method is based on the construction of quadrature rules, which are well-suited for approximating the weighted integrals occurring in Bayesian…

数值分析 · 数学 2020-06-09 L. M. M. van den Bos , B. Sanderse , W. A. A. M. Bierbooms

In this paper we present a MATLAB version of a non-standard finite difference scheme for the numerical solution of the perpetual American put option models of financial markets. These models can be derived from the celebrated Black-Scholes…

数值分析 · 数学 2014-12-05 Riccardo Fazio

The use of surrogate models instead of computationally expensive simulation codes is very convenient in engineering. Roughly speaking, there are two kinds of surrogate models: the deterministic and the probabilistic ones. These last are…

应用统计 · 统计学 2015-12-24 Malek Ben Salem , Olivier Roustant , Fabrice Gamboa , Lionel Tomaso

In this paper, we study the problem of Participatory Budgeting (PB) with approval ballots, inspired by Multi-Winner Voting schemes. We present generalized preference aggregation methods for participatory budgeting, especially for finding…

计算工程、金融与科学 · 计算机科学 2024-10-10 Rutvik Page , Arnav Doifode , Jitendra Tembhurne , Aishwarya Sagar Anand Ukey

In this paper, we introduce a classical algorithm for random sampling of permutations, drawing inspiration from the Steinhaus-Johnson-Trotter algorithm. Our approach takes a comprehensive view of permutation sampling by expressing them as…

量子物理 · 物理学 2025-05-08 Bibhas Adhikari

Ordered pivotal sampling is one of the simplest algorithm to perform without-replacement unequal probability sampling. It has found uses in the context of longitudinal surveys and spatial sampling, and enables in particular a good spatial…

统计理论 · 数学 2015-11-02 Guillaume Chauvet

Current pooling rules for multiply imputed data assume infinite populations. In some situations this assumption is not feasible as every unit in the population has been observed, potentially leading to over-covered population estimates. We…

统计理论 · 数学 2014-10-01 Gerko Vink , Stef van Buuren

This paper presents an out-of-sample prediction comparison between major machine learning models and the structural econometric model. Over the past decade, machine learning has established itself as a powerful tool in many prediction…

计量经济学 · 经济学 2018-03-20 Tzai-Shuen Chen