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To address model uncertainty under flexible loss functions in prediction problems, we propose a model averaging method that accommodates various loss functions, including asymmetric linear and quadratic loss functions, as well as many other…

Methodology · Statistics 2025-01-23 Dieqi Gu , Qingfeng Liu , Xinyu Zhang

Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is paid to triangular norm-based probabilistic…

Classical Analysis and ODEs · Mathematics 2012-07-12 Lenka Halčinová , Ondrej Hutník , Radko Mesiar

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that…

Methodology · Statistics 2020-03-30 Moritz Berger , Gerhard Tutz

Understanding functional diversity, the range and variability of species' roles and actions within their communities, is key to predicting and preserving the functions that sustain both nature and human well-being. In this paper, we provide…

Populations and Evolution · Quantitative Biology 2025-07-16 Ines Meraoumia , Adji Bousso Dieng

In meta-analysis with continuous outcomes, the use of effect sizes based on the means is the most common. It is often found, however, that only the quantile summary measures are reported in some studies, and in certain scenarios, a…

Methodology · Statistics 2024-11-19 Alysha M De Livera , Luke Prendergast , Udara Kumaranathunga

Recognizing, quantifying and visualizing associations between two variables is increasingly important. This paper investigates how a new function-valued measure of dependence, the quantile dependence function, can be used to construct tests…

Methodology · Statistics 2019-04-16 Ćmiel Bogdan , Ledwina Teresa

A framework for robust optimization under uncertainty based on the use of the generalized inverse distribution function (GIDF), also called quantile function, is here proposed. Compared to more classical approaches that rely on the usage of…

Optimization and Control · Mathematics 2014-07-18 Domenico Quagliarella , Giovanni Petrone , Gianluca Iaccarino

Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

Various papers demonstrate the importance of inequality, poverty and the size of the middle class for economic growth. When explaining why these measures of the income distribution are added to the growth regression, it is often mentioned…

Econometrics · Economics 2019-03-07 Max Köhler , Stefan Sperlich , Jisu Yoon

This article extends the widely-used synthetic controls estimator for evaluating causal effects of policy changes to quantile functions. The proposed method provides a geometrically faithful estimate of the entire counterfactual quantile…

Econometrics · Economics 2022-01-03 Florian Gunsilius

Machine learning methods are being increasingly applied in sensitive societal contexts, where decisions impact human lives. Hence it has become necessary to build capabilities for providing easily-interpretable explanations of models'…

Machine Learning · Computer Science 2021-04-13 Alfredo Carrillo , Luis F. Cantú , Luis Tejerina , Alejandro Noriega

Problems in econometrics, insurance, reliability engineering, and statistics quite often rely on the assumption that certain functions are non-decreasing. To satisfy this requirement, researchers frequently model the underlying phenomena…

Applications · Statistics 2015-02-26 Danang Teguh Qoyyimi , Ricardas Zitikis

We introduce the General Poverty Index (GPI), which summarizes most of the known and available poverty indices, in the form {equation*} GPI=\delta…

Methodology · Statistics 2012-08-21 Gane Samb Lo

Functional depth is used for ranking functional observations from most outlying to most typical. The ranks produced by functional depth have been proposed as the basis for functional classifiers, rank tests, and data visualization…

Methodology · Statistics 2016-11-02 James P. Long , Jianhua Z. Huang

The last few years have seen the proliferation of measures that quantify the scientific output of researches. Yet, these measures focus on productivity, thus fostering the "publish or perish" paradigm. This article proposes a measure that…

Digital Libraries · Computer Science 2013-04-15 Alejandro M. Aragón

Quantile-based classifiers can classify high-dimensional observations by minimising a discrepancy of an observation to a class based on suitable quantiles of the within-class distributions, corresponding to a unique percentage for all…

Methodology · Statistics 2024-04-23 Marco Berrettini , Christian Hennig , Cinzia Viroli

A sizable amount of goodness-of-fit tests involving functional data have appeared in the last decade. We provide a relatively compact revision of most of these contributions, within the independent and identically distributed framework, by…

Many evaluation metrics can be used to assess the performance of models in binary classification tasks. However, most of them are derived from a confusion matrix in a non-differentiable form, making it very difficult to generate a…

Machine Learning · Computer Science 2024-05-24 Doheon Han , Nuno Moniz , Nitesh V Chawla

For theoretical approach of quantum measurements it is proposed a set of reconsidered conjectures. The proposed approach implies linear functional transformations for probability density and current but preserves the expressions for…

Quantum Physics · Physics 2007-05-23 S. Dumitru

We set in this paper a coherent theory based on functional empirical processes to consider both the poverty and the inequality indices in one Gaussian field enabling to study the influence of the one on the other. We use the General Poverty…

Methodology · Statistics 2012-10-12 Pape Djiby Mergane , Gane Samb LO