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A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

统计金融 · 定量金融 2018-08-01 Linda Ponta , Anna Carbone

This paper examines the nonparametric identifiability of production functions, considering firm heterogeneity beyond Hicks-neutral technology terms. We propose a finite mixture model to account for unobserved heterogeneity in production…

计量经济学 · 经济学 2023-05-23 Hiroyuki Kasahara , Paul Schrimpf , Michio Suzuki

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

计算物理 · 物理学 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo

In this thesis we start by providing some detail regarding how we arrived at our present understanding of probabilities and how we manipulate them - the product and addition rules by Cox. We also discuss the modern view of entropy and how…

数据分析、统计与概率 · 物理学 2009-01-21 Adom Giffin

We develop the method of Maximum Entropy (ME) as a technique to generate approximations to probability distributions. The central results consist in (a) justifying the use of relative entropy as the uniquely natural criterion to select a…

统计力学 · 物理学 2007-07-24 Chih-Yuan Tseng , Ariel Caticha

We propose a method for multilevel decomposition of generalized entropy (GE) measures that explicitly accounts for nested population structures such as national, regional, and subregional levels. Standard approaches that estimate GE…

计量经济学 · 经济学 2025-06-27 Yuki Kawakubo , Kazuhiko Kakamu

This study investigates entropy's potential for analyzing scientific research patterns across disciplines. Originating from thermodynamics, entropy now measures uncertainty and diversity in information systems. We examine Shannon Entropy,…

物理与社会 · 物理学 2025-03-27 Yujie Shi , Alex Jie Yang , Sanhong Deng

We show how the Shannon entropy function can be used as a basis to set up complexity measures weighting the economic efficiency of countries and the specialization of products beyond bare diversification. This entropy function guarantees…

物理与社会 · 物理学 2021-06-04 Gianluca Teza , Michele Caraglio , Attilio L. Stella

There are three ways to conceptualize entropy: entropy as an extensive thermodynamic quantity of physical systems (Clausius, Boltzmann, Gibbs), entropy as a measure for information production of ergodic sources (Shannon), and entropy as a…

统计力学 · 物理学 2018-11-05 Stefan Thurner , Bernat Corominas-Murtra , Rudolf Hanel

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle…

统计力学 · 物理学 2013-06-27 Gian Paolo Beretta

This paper studies inter-firm heterogeneity in production. Unlike much of the existing research, which primarily addresses heterogeneous production through unobserved fixed effects, our approach also focuses on differences in factors'…

综合经济学 · 经济学 2024-11-26 Michele Battisti , Valentino Dardanoni , Stefano Demichelis

Motivated by the long-standing interest in understanding the role of location for firm performance, this paper provides a semiparametric methodology to accommodate locational heterogeneity in production analysis. Our approach is novel in…

综合经济学 · 经济学 2023-02-28 Emir Malikov , Jingfang Zhang , Shunan Zhao , Subal C. Kumbhakar

We consider the statistical analysis of heterogeneous data for prediction in situations where the observations include functions, typically time series. We extend the modeling with Mixtures-of-Experts (ME), as a framework of choice in…

统计方法学 · 统计学 2023-12-21 Faïcel Chamroukhi , Nhat Thien Pham , Van Hà Hoang , Geoffrey J. McLachlan

How much do individuals contribute to team output? I propose an econometric framework to quantify individual contributions when only the output of their teams is observed. The identification strategy relies on following individuals who work…

计量经济学 · 经济学 2021-02-04 Stephane Bonhomme

This paper addresses the critical challenge of estimating the reliability of an Electric Vehicle (EV) charging systems when facing risks such as overheating, unpredictable, weather, and cyberattacks. Traditional methods for predicting…

系统与控制 · 电气工程与系统科学 2025-08-19 Himanshu Tripathi , Subash Neupane , Shahram Rahimi , Noorbakhsh Amiri Golilarz , Sudip Mittal , Mohammad Sepehrifar

Although system heterogeneity has been extensively studied in the past, there is yet to be a study on measuring the impact of heterogeneity on system performance. For this purpose, we propose a heterogeneity measure that can characterize…

分布式、并行与集群计算 · 计算机科学 2023-12-07 Ali Mokhtari , Saeid Ghafouri , Pooyan Jamshidi , Mohsen Amini Salehi

We establish the theoretical framework for implementing the maximumn entropy on the mean (MEM) method for linear inverse problems in the setting of approximate (data-driven) priors. We prove a.s. convergence for empirical means and further…

机器学习 · 统计学 2024-12-25 Matthew King-Roskamp , Rustum Choksi , Tim Hoheisel

The maximum entropy principle (MEP) is a method for obtaining the most likely distribution functions of observables from statistical systems, by maximizing entropy under constraints. The MEP has found hundreds of applications in ergodic and…

经典物理 · 物理学 2016-10-03 Rudolf Hanel , Stefan Thurner , Murray Gell-Mann

Demand forecasting in competitive, uncertain business environments requires models that can integrate multiple evaluation perspectives rather than being restricted to hyperparameter optimization based on a single metric. This traditional…

机器学习 · 计算机科学 2025-12-23 Adolfo González , Víctor Parada

The purpose of this note is to show how the method of maximum entropy in the mean (MEM) may be used to improve parametric estimation when the measurements are corrupted by large level of noise. The method is developed in the context on a…

机器学习 · 计算机科学 2021-08-23 Henryk Gzyl , Enrique ter Horst
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