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Generalized linear mixed-effects models (GLMMs) are widely used to analyze grouped and hierarchical data. In a GLMM, each response is assumed to follow an exponential-family distribution where the natural parameter is given by a linear…

机器学习 · 统计学 2026-04-14 Yuli Slavutsky , Sebastian Salazar , David M. Blei

In practice, there often exist unobserved variables, also termed hidden variables, associated with both the response and covariates. Existing works in the literature mostly focus on linear regression with hidden variables. However, when the…

统计方法学 · 统计学 2025-09-03 Inbeom Lee , Yang Ning

In order to properly manage risk, practitioners must understand the aggregate risks they are exposed to. Additionally, to properly price policies and calculate bonuses the relative riskiness of individual business units must be well…

风险管理 · 定量金融 2024-10-22 Andrew Fleck , Edward Furman , Yang Shen

A framework based on generalized hierarchical random graphs (GHRGs) for the detection of change points in the structure of temporal networks has recently been developed by Peel and Clauset [1]. We build on this methodology and extend it to…

社会与信息网络 · 计算机科学 2016-11-18 Simon De Ridder , Benjamin Vandermarliere , Jan Ryckebusch

We study a parametric estimation problem related to moment condition models. As an alternative to the generalized empirical likelihood (GEL) and the generalized method of moments (GMM), a Bayesian approach to the problem can be adopted,…

统计理论 · 数学 2012-03-02 Paul Rochet

Stochastic lattice models (sLMs) are computational tools for simulating spatiotemporal dynamics in physics, computational biology, chemistry, ecology, and other fields. Despite their widespread use, it is challenging to fit sLMs to data, as…

元胞自动机与格子气 · 物理学 2023-10-13 Jan Schering , Sander Keemink , Johannes Textor

In this paper we propose and study local linear and polynomial based estimators for implementing Approximate Bayesian Computation (ABC) style indirect inference and GMM estimators. This method makes use of nonparametric regression in the…

统计理论 · 数学 2020-03-13 Michael Creel , Jiti Gao , Han Hong , Dennis Kristensen

Nonparametric maximum likelihood estimators (MLEs) in inverse problems often have non-normal limit distributions, like Chernoff's distribution. However, if one considers smooth functionals of the model, with corresponding functionals of the…

统计理论 · 数学 2023-10-24 Piet Groeneboom

A standard model of (conditional) heteroscedasticity, i.e., the phenomenon that the variance of a process changes over time, is the Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) model, which is especially important for…

统计方法学 · 统计学 2018-07-24 Balázs Csanád Csáji

Gaussian process state-space models (GPSSMs) provide a principled and flexible approach to modeling the dynamics of a latent state, which is observed at discrete-time points via a likelihood model. However, inference in GPSSMs is…

机器学习 · 计算机科学 2023-07-18 Xuhui Fan , Edwin V. Bonilla , Terence J. O'Kane , Scott A. Sisson

In many practical applications of machine learning, a discrepancy often arises between a source distribution from which labeled training examples are drawn and a target distribution for which only unlabeled data is observed. Traditionally,…

机器学习 · 统计学 2025-03-05 Paweł Teisseyre , Jan Mielniczuk

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

统计计算 · 统计学 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

This paper addresses the task of modeling severity losses using segmentation when the data distribution does not fall into the usual regression frameworks. This situation is not uncommon in lines of business such as third-party liability…

应用统计 · 统计学 2021-11-29 Martin Bladt

Energy-based models (EBMs) are powerful probabilistic models, but suffer from intractable sampling and density evaluation due to the partition function. As a result, inference in EBMs relies on approximate sampling algorithms, leading to a…

机器学习 · 计算机科学 2020-01-10 Dieterich Lawson , George Tucker , Bo Dai , Rajesh Ranganath

Firms should keep capital to offer sufficient protection against the risks they are facing. In the insurance context methods have been developed to determine the minimum capital level required, but less so in the context of firms with…

风险管理 · 定量金融 2023-02-27 G. A. Delsing , M. R. H. Mandjes , P. J. C. Spreij , E. M. M. Winands

In this article, we present a novel inference framework for estimating the parameters of Continuous-State Branching Processes (CSBPs). We do so by leveraging their subordinator representation. Our method reformulates the estimation problem…

Although the CML (Capital Market Line), the Intertemporal-CAPM, the CAPM/SML (Security Market Line) and the Intertemporal Arbitrage Pricing Theory (IAPT) are widely used in portfolio management, valuation and capital markets financing;…

综合金融 · 定量金融 2020-05-05 Michael Nwogugu

Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

统计方法学 · 统计学 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

Discrete-state stochastic models have become a well-established approach to describe biochemical reaction networks that are influenced by the inherent randomness of cellular events. In the last years severalmethods for accurately…

分子网络 · 定量生物学 2017-07-03 Alexander Lück , Verena Wolf

The semiparametric accelerated failure time model is not as widely used as the Cox relative risk model mainly due to computational difficulties. Recent developments in least squares estimation and induced smoothing estimating equations…

统计方法学 · 统计学 2015-06-02 Steven Chiou , Junghi Kim , Jun Yan