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Research in quantitative finance has demonstrated that reinforcement learning (RL) methods have delivered promising outcomes in the context of hedging financial portfolios. For example, hedging a portfolio of European options using RL…

计算工程、金融与科学 · 计算机科学 2024-07-16 Anil Sharma , Freeman Chen , Jaesun Noh , Julio DeJesus , Mario Schlener

This paper considers an insurer with two collaborating business lines, and the risk exposure of each line follows a diffusion risk model. The manager of the insurer makes three decisions for each line: (i) dividend payout, (ii)…

最优化与控制 · 数学 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

We study the aggregation of two risks when the marginal distributions are known and the dependence structure is unknown, under the additional constraint that one risk is smaller than or equal to the other. Risk aggregation problems with the…

风险管理 · 定量金融 2021-10-22 Yuyu Chen , Liyuan Lin , Ruodu Wang

We develop quantile regression models in order to derive risk margin and to evaluate capital in non-life insurance applications. By utilizing the entire range of conditional quantile functions, especially higher quantile levels, we detail…

风险管理 · 定量金融 2014-02-12 Alice X. D. Dong , Jennifer S. K. Chan , Gareth W. Peters

In this paper, we deduce a new multivariate regression model designed to fit correlated binary data. The multivariate distribution is derived from a Bernoulli mixed model with a nonnormal random intercept on the marginal approach. The…

统计方法学 · 统计学 2024-06-10 Lizandra C. Fabio , Vanessa Barros , Cristian Villegas , Jalmar M. F. Carrasco

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

统计方法学 · 统计学 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

统计方法学 · 统计学 2026-01-13 Sphiwe B. Skhosana , Weixin Yao

In this paper, we propose a test for the equality of multiple distributions based on kernel mean embeddings. Our framework provides a flexible way to handle multivariate or even high-dimensional data by virtue of kernel methods and allows…

统计理论 · 数学 2020-06-08 Ilmun Kim

In risk analysis, a global fit that appropriately captures the body and the tail of the distribution of losses is essential. Modelling the whole range of the losses using a standard distribution is usually very hard and often impossible due…

统计方法学 · 统计学 2017-09-19 Tom Reynkens , Roel Verbelen , Jan Beirlant , Katrien Antonio

This thesis evaluates most of the extreme mixture models and methods that have appended in the literature and implements them in the context of finance and insurance. The paper also reviews and studies extreme value theory, time series,…

综合经济学 · 经济学 2024-07-09 Yujuan Qiu

We propose a multivariate probability distribution that models a linear correlation between binary and continuous variables. The proposed distribution is a natural extension of the previously developed multivariate binary distribution. As…

统计方法学 · 统计学 2023-02-14 Takashi Arai

In this article, we discuss a bivariate distribution whose conditionals are univariate binomial distributions and the marginals are not binomial that exhibits negative correlation. Some useful structural properties of this distribution…

统计方法学 · 统计学 2023-01-10 Indranil Ghosh , Filipe Marques , Subrata Chakraborty

In the paper, multivariate probability distributions are considered that are representable as scale mixtures of multivariate elliptically contoured stable distributions. It is demonstrated that these distributions form a special subclass of…

概率论 · 数学 2019-12-05 Victor Korolev , Alexander Zeifman

An integration of distributionally robust risk allocation into sampling-based motion planning algorithms for robots operating in uncertain environments is proposed. We perform non-uniform risk allocation by decomposing the distributionally…

机器人学 · 计算机科学 2023-05-16 Kajsa Ekenberg , Venkatraman Renganathan , Björn Olofsson

Gini-type correlation coefficients have become increasingly important in a variety of research areas, including economics, insurance and finance, where modelling with heavy-tailed distributions is of pivotal importance. In such situations,…

统计理论 · 数学 2016-07-12 Edward Furman , Ricardas Zitikis

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

统计力学 · 物理学 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

Multi-output is essential in machine learning that it might suffer from nonconforming residual distributions, i.e., the multi-output residual distributions are not conforming to the expected distribution. In this paper, we propose "Wrapped…

机器学习 · 计算机科学 2019-09-10 Chun Ting Liu , Ming Chuan Yang , Meng Chang Chen

This is the first installment in a series of papers devoted to examining certain aspects of the asymptotic value distribution and distribution of zeros manifested by members of a broad class of linear combinations of L-functions in the…

数论 · 数学 2013-11-20 D. A. Hejhal

Bairamov et al. (Aust N Z J Stat 47:543-547, 2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of…

概率论 · 数学 2007-07-30 George P. Yanev , M. Ahsanullah , M. I. Beg

Various members of the class of weighted insurance premiums and risk capital allocation rules have been researched from a number of perspectives. Corresponding formulas in the case of parametric families of distributions have been derived,…

统计理论 · 数学 2017-10-11 Nadezhda Gribkova , Ričardas Zitikis