Results found: 2

Search results

Search:
in the keywords: power law

Sort By:

Limit search:

Two-component structure of household income distributions in Poland

100%

Łukasiewicz P., Karpio K., Orłowski A.

Equilibrium. Quarterly Journal of Economics and Economic Policy

2018

vol. 13

issue 4

603-622

Research background: Studies of the structures of the income distributions have been performed for about 15 years. They indicate that there is no model which describes the distributions in their whole range. This effect is explained by the existence of different mechanisms yielding to low-medium and high incomes. While more than 97% of the distributions can be described by exponential or log-normal models, high incomes (about 3% or less) are in agreement with the power law. Purpose of the article: The aim of this paper is an analysis of the structure of the household income distributions in Poland. We verify the hypothesis about two-part structure of those distributions by using log-normal and Pareto models. Methods: The studies are based on the households? budgets microdata for years 2004?2012. The two-component models are used to describe the income distributions. The major parts of the distributions are described by the two parametric log-normal model. The highest incomes are described by the Pareto model. We also investigate the agreement with data of the more complex models, like Dagum, and Singh-Madalla. Findings & Value added: One has showed that two or three parametric models explain from about 95% to more than 99% of income distributions. The poorest agreement with data is for the log-normal model, while the best agreement has been obtained for the Dagum model. However, two-part model: log-normal for low-middle incomes and Pareto model for the highest incomes describes almost the whole range of income distributions very well.

Firm-Size Distribution in Poland: Is Power Law Applicable?

63%

Gabrielczak P., Serwach T.

Gospodarka Narodowa. The Polish Journal of Economics

2021

vol. 306

issue 2

31-49

Artykuł koncentruje się na istnieniu praw potęgowych w rozkładzie wielkości firm w Polsce. Przetestowano empirycznie, czy rozkład wielkości firm w Polsce ma cechy prawa Zipfa – szczególnego przypadku prawa potęgowego obserwowanego w wielu różnych kontekstach w literaturze ekonomicznej. W analizie wykorzystano dane z roku 2019, dotyczące 2000 największych przedsiębiorstw w Polsce, notowanych na Liście 2000 „Rzeczpospolitej”. Dokonano przeglądu teoretycznych mechanizmów generujących prawa potęgowe, a w analizie empirycznej zastosowano kilka estymatorów wykładnika potęgi. Uzyskane przez nas wyniki potwierdzają istotne statystycznie odchylenia od prawa Zipfa w przypadku rozkładu wielkości firm w Polsce. Znaleźliśmy dowody na to, że prawo potęgowe nie jest w stanie w zadowalający sposób aproksymować rozkładu firm opartego na sprzedaży.

This article focuses on the existence of power laws in the firm-size distribution in Poland. Specifically, we empirically test whether the size distribution of companies in Poland has the characteristics of Zipf ’s law, a special case of power law observed in many different contexts in empirical economic literature. Our analysis uses 2019 data on the 2,000 largest companies in Poland as ranked by the Rzeczpospolita daily newspaper in its “Lista 2000” (Top 2,000 List). We reviewed theoretical mechanisms generating power laws and used several estimators of the power-law exponent in our empirical analysis. Our results confirm statistically significant deviations from Zipf ’s law in the firm-size distribution in Poland. We found evidence that the power law cannot satisfactorily approximate the sales-based distribution of firms.

Refine search results

1 Equilibrium. Quarterly Journal of Economics and Economic Policy

1 Gospodarka Narodowa. The Polish Journal of Economics

1 Gabrielczak P.

1 Karpio K.

1 Orłowski A.

1 Serwach T.

1 Łukasiewicz P.

1 2021

1 2018

Search results

Two-component structure of household income distributions in Poland

Firm-Size Distribution in Poland: Is Power Law Applicable?