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In this article, we analyze perinatal data with birth weight (BW) as primarily interesting response variable. Gestational age (GA) is usually an important covariate and included in polynomial form. However, in opposition to this univariate…

统计方法学 · 统计学 2021-11-02 Jonathan Rathjens , Arthur Kolbe , Jürgen Hölzer , Katja Ickstadt , Nadja Klein

Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

统计方法学 · 统计学 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli

Many selection problems are multilayered: agents first decide whether to participate and then sort among ordered or unordered categories. This paper shows that the sorting layer changes the geometry of identification. Unlike binary…

计量经济学 · 经济学 2026-05-26 Dongwoo Kim

Empirical studies on food expenditure are largely based on cross-section data and for a few studies based on longitudinal (or panel) data the focus has been on the conditional mean. While the former, by construction, cannot model the…

综合经济学 · 经济学 2020-10-07 Arjun Gupta , Soudeh Mirghasemi , Mohammad Arshad Rahman

The estimation of dependencies between multiple variables is a central problem in the analysis of financial time series. A common approach is to express these dependencies in terms of a copula function. Typically the copula function is…

This article proposes a graphical model that handles mixed-type, multi-group data. The motivation for such a model originates from real-world observational data, which often contain groups of samples obtained under heterogeneous conditions…

统计方法学 · 统计学 2023-01-02 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

统计方法学 · 统计学 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

We revisit the Kolmogorov-Smirnov and Cram\'er-von Mises goodness-of-fit (GoF) tests and propose a generalisation to identically distributed, but dependent univariate random variables. We show that the dependence leads to a reduction of the…

统计金融 · 定量金融 2011-09-06 Remy Chicheportiche , Jean-Philippe Bouchaud

The empirical copula process, a fundamental tool for copula inference, is studied in the high dimensional regime where the dimension is allowed to grow to infinity exponentially in the sample size. Under natural, weak smoothness assumptions…

统计理论 · 数学 2025-09-25 Axel Bücher , Cambyse Pakzad

The Multiplicative Error Model (Engle (2002)) for nonnegative valued processes is specified as the product of a (conditionally autoregressive) scale factor and an innovation process with nonnegative support. A multivariate extension allows…

统计金融 · 定量金融 2016-04-06 Fabrizio Cipollini , Robert F. Engle , Giampiero M. Gallo

Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged…

数据分析、统计与概率 · 物理学 2013-09-11 Rémy Chicheportiche , Anirban Chakraborti

Copula models are flexible tools to represent complex structures of dependence for multivariate random variables. According to Sklar's theorem (Sklar, 1959), any d-dimensional absolutely continuous density can be uniquely represented as the…

统计方法学 · 统计学 2021-03-05 Clara Grazian , Luciana Dalla Valle , Brunero Liseo

Multivariate data occurs in a wide range of fields, with ever more flexible model specifications being proposed, often within a multivariate generalised linear mixed effects (MGLME) framework. In this article, we describe an extended…

统计方法学 · 统计学 2017-10-09 Michael J. Crowther

Robust estimation of location is a fundamental problem in statistics, particularly in scenarios where data contamination by outliers or model misspecification is a concern. In univariate settings, methods such as the sample median and…

统计理论 · 数学 2025-05-07 Alejandro Cholaquidis , Ricardo Fraiman , Leonardo Moreno , Gonzalo Perera

This paper deals with dependence across marginally exponentially distributed arrival times, such as default times in financial modeling or inter-failure times in reliability theory. We explore the relationship between dependence and the…

概率论 · 数学 2012-05-01 Damiano Brigo , Kyriakos Chourdakis

In some areas of knowledge there are data representing directions restricted to a specific range of values. Consequently, it is useful to have models for describing variables defined in subsets of the k-dimensional unit sphere. This need…

统计方法学 · 统计学 2025-07-17 Joel Montesinos-Vazquez , Gabriel Núñez-Antonio

Regression analysis is one of the most popularly used statistical technique which only measures the direct effect of independent variables on dependent variable. Path analysis looks for both direct and indirect effects of independent…

统计方法学 · 统计学 2024-06-26 Alam Ali , Ashok Kumar Pathak , Mohd Arshad , Ayyub Sheikhi

We introduce a novel perspective by linking ordered probabilistic choice to copula theory, a mathematical framework for modeling dependencies in multivariate distributions. Each representation of ordered probabilistic choice behavior can be…

理论经济学 · 经济学 2025-07-10 Christopher P. Chambers , Yusufcan Masatlioglu , Kemal Yildiz

Neural multivariate regression underpins a wide range of domains, including control, robotics, and finance, yet the geometry of its learned representations remains poorly characterized. While neural collapse has been shown to benefit…

机器学习 · 计算机科学 2026-05-11 George Andriopoulos , Zixuan Dong , Bimarsha Adhikari , Keith Ross

We study stochastic ordering of system lifetimes with dependent and heterogeneous components whose marginal distributions are obtained through transformations of a common baseline. The dependence structure is modeled via Archimedean…

概率论 · 数学 2026-04-30 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira