On the estimation of the distribution of alcohol consumption

Mielecka-Kubień, Zofia

doi:10.1080/08898480.2017.1348749

Cited by 4 publications

(2 citation statements)

References 14 publications

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“…Hence, this choice is in full agreement with the data fitting of alcohol consumption proposed by Ledermann in 1956 [40], choice which is still used in present times (cf. also the recent paper [48] and the references therein).…”

Section: Kinetic Description Of Addiction Phenomenamentioning

confidence: 91%

Statistical description of human addiction phenomena

Toscani¹

2019

Preprint

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We study the evolution in time of the statistical distribution of some addiction phenomena in a system of individuals. The kinetic approach leads to build up a novel class of Fokker-Planck equations describing relaxation of the probability density solution towards a generalized Gamma density. A qualitative analysis reveals that the relaxation process is very stable, and does not depend on the parameters that measure the main microscopic features of the addiction phenomenon.

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Section: Kinetic Description Of Addiction Phenomenamentioning

confidence: 91%

Statistical description of human addiction phenomena

Toscani¹

2019

Preprint

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“…Hence, this choice would be in full agreement with the data fitting of alcohol consumption proposed by Ledermann in 1956 [44], choice which is still used in present times (cf. the recent paper [53] and the references therein).…”

Section: The Value Function In Alcohol Consumptionmentioning

confidence: 98%

Kinetic Modeling of Alcohol Consumption

Dimarco

Toscani

2019

J Stat Phys

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In most countries, alcohol consumption distributions have been shown to possess universal features. Their unimodal right-skewed shape is usually modeled in terms of the Lognormal distribution, which is easy to fit, test, and modify. However, empirical distributions often deviate considerably from the Lognormal model, and both Gamma and Weibull distributions appear to better describe the survey data. In this paper we explain the appearance of these distributions by means of classical methods of kinetic theory of multi-agent systems. The microscopic variation of alcohol consumption of agents around a universal social accepted value of consumption, is built up introducing as main criterion for consumption a suitable value function in the spirit of the prospect theory of Kahneman and Twersky. The mathematical properties of the value function then determine the unique macroscopic equilibrium which results to be a generalized Gamma distribution. The modeling of the microscopic kinetic interaction allows to clarify the meaning of the various parameters characterizing the generalized Gamma equilibrium. Alcohol consumption and Empirical distribution and Generalized Gamma distribution and Log-Normal distribution and Weibull distribution and Kinetic models and Fokker-Planck equations.

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Statistical Description of Human Addiction Phenomena

Toscani

2021

Trails in Kinetic Theory

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On the estimation of the distribution of alcohol consumption

Cited by 4 publications

References 14 publications

Statistical description of human addiction phenomena

Statistical description of human addiction phenomena

Kinetic Modeling of Alcohol Consumption

Statistical Description of Human Addiction Phenomena

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