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This chapter reviews indirect estimators of intergenerational mobility, focusing on approaches that infer parent-child or other family associations when direct income data are incomplete or unavailable. We synthesize methods based on…

综合经济学 · 经济学 2026-05-20 Andrea Del Pizzo , Martin Nybom , Jan Stuhler

Rank-rank regression is commonly employed in economic research as a way of capturing the relationship between two economic variables. The slope of this regression is the Spearman rank correlation, a classical measure of association.…

计量经济学 · 经济学 2025-10-29 Victor Chernozhukov , Iván Fernández-Val , Jonas Meier , Aico van Vuuren , Francis Vella

The slope coefficient in a rank-rank regression is a popular measure of intergenerational mobility. In this article, we first show that commonly used inference methods for this slope parameter are invalid. Second, when the underlying…

计量经济学 · 经济学 2025-07-15 Denis Chetverikov , Daniel Wilhelm

Intergenerational mobility quantifies the transmission of socio-economic outcomes from parents to children. While rank-rank regression (RRR) is standard, adding covariates directly (RRRX) often yields parameters with unclear interpretation.…

统计方法学 · 统计学 2026-03-10 Xiaoyi Wang , Long Feng , Zhaojun Wang

Lacking lifetime income data, most intergenerational mobility estimates are subject to lifecycle bias. Using long income series from Sweden and the US, we illustrate that standard correction methods struggle to account for one important…

综合经济学 · 经济学 2025-12-18 Ursula Mello , Martin Nybom , Jan Stuhler

We model the joint log-income distribution of parents and children and derive analytic expressions for canonical relative and absolute intergenerational mobility measures. We find that both types of mobility measures can be expressed as a…

经济学 · 定量金融 2017-06-26 Yonatan Berman

Rank-based dependence measures such as Spearman's footrule are robust and invariant, but they often fail to capture directional or asymmetric dependence in multivariate settings. This paper introduces a new family of directional Spearman's…

统计理论 · 数学 2026-01-27 Enrique de Amo , David García-Fernández , Manuel Úbeda-Flores

This paper proposes a new measure of relative intergenerational mobility along the educational trait as a proxy of inequality of opportunity. The new measure is more suitable for controlling for the variations in the trait distributions of…

综合经济学 · 经济学 2024-12-17 Anna Naszodi , Liliana Cuccu

Several studies on heritability in twins aim at understanding the different contribution of environmental and genetic factors to specific traits. Considering the National Merit Twin Study, our purpose is to correctly analyse the influence…

统计方法学 · 统计学 2017-07-04 Luciana Dalla Valle , Fabrizio Leisen , Luca Rossini

We propose a new semi-parametric distributional regression smoother that is based on a copula decomposition of the joint distribution of the vector of response values. The copula is high-dimensional and constructed by inversion of a pseudo…

统计方法学 · 统计学 2020-06-30 Michael Stanley Smith , Nadja Klein

When the copula of the conditional distribution of two random variables given a covariate does not depend on the value of the covariate, two conflicting intuitions arise about the best possible rate of convergence attainable by…

统计理论 · 数学 2017-05-17 François Portier , Johan Segers

This paper considers identification and estimation of distributional effect parameters that depend on the joint distribution of an outcome and another variable of interest ("treatment") in a setting with "two-sided" measurement error --…

计量经济学 · 经济学 2025-09-23 Brantly Callaway , Tong Li , Irina Murtazashvili , Emmanuel Tsyawo

We propose a new semiparametric approach for modelling nonlinear univariate diffusions, where the observed process is a nonparametric transformation of an underlying parametric diffusion (UPD). This modelling strategy yields a general class…

计量经济学 · 经济学 2020-05-08 Ruijun Bu , Kaddour Hadri , Dennis Kristensen

Often of primary interest in the analysis of multivariate data are the copula parameters describing the dependence among the variables, rather than the univariate marginal distributions. Since the ranks of a multivariate dataset are…

统计理论 · 数学 2014-03-13 Peter D. Hoff , Xiaoyue Niu , Jon A. Wellner

We describe here a new method to estimate copula measure. From N observations of two variables X and Y, we draw a huge number m of subsamples (size n<N), and we compute the joint ranks in these subsamples. Then, for each bivariate rank…

统计方法学 · 统计学 2007-09-26 Jérôme Collet

We develop a class of tests for semiparametric vector autoregressive (VAR) models with unspecified innovation densities, based on the recent measure-transportation-based concepts of multivariate {\it center-outward ranks} and {\it signs}.…

统计理论 · 数学 2020-11-13 Marc Hallin , Davide La Vecchia , Hang Liu

We examine whether mobility measures appropriately represent changes in individual status, like income or ranks. We suggest three elementary principles for mobility comparisons and show that many commonly used indices violate one or more of…

综合经济学 · 经济学 2025-02-28 Frank A. Cowell , Emmanuel Flachaire

This paper considers the problem of inference after ranking. In our setting, we are interested in any population whose rank according to some random quantity, such as an estimated treatment effect, a measure of value-added, or benefit (net…

计量经济学 · 经济学 2026-01-06 Andreas Petrou-Zeniou , Azeem M. Shaikh

In this paper we explore the dynamic relationship between income inequality and economic mobility through a pairing of a population-scale partial differential equation (PDE) model and an associated individual-based stochastic differential…

物理与社会 · 物理学 2025-03-25 Scott A. McKinley , Gary A. Hoover

In this paper, we propose a general framework for distribution-free nonparametric testing in multi-dimensions, based on a notion of multivariate ranks defined using the theory of measure transportation. Unlike other existing proposals in…

统计理论 · 数学 2019-10-08 Nabarun Deb , Bodhisattva Sen
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