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Models of families’ incomes based on the convolutions of personal incomes distributions

Piotr Łukasiewicz ,  Krzysztof Karpio ,  Arkadiusz J. Orłowski 

Szkoła Główna Gospodarstwa Wiejskiego (SGGW), Nowoursynowska 166, Warszawa 02-787, Poland

Abstract

The analysis of the families’ incomes in the USA is presented. The starting point of the analysis is the exponential distribution of the personal incomes. Income distributions of the families with 2, 3, 4, 5, and more adult persons are constructed based on the personal income distribution. The convolution of distributions technique has been used. We assumed the incomes distributions of 2-nd, 3-rd, etc. person in the family have rescaled exponential shape. Values of the scaling parameters are evaluated based on the empirical data. We present and discus the results obtained based on the income data for various years.

 

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Related papers

Presentation: Oral at Econophysics Colloquium 2017, Symposium C, by Piotr Łukasiewicz
See On-line Journal of Econophysics Colloquium 2017

Submitted: 2017-05-05 11:32
Revised:   2017-05-07 12:22