PL EN
ORIGINAL ARTICLE
VARIOUS SIGNS IN ASYMMETRY COEFFICIENS IN EMPIRICAL DISTRIBUTIONS
 
More details
Hide details
1
Pope John Paul II State School of Higher Education in Biała Podlaska Państwowa Szkoła Wyższa im. Papieża Jana Pawła II w Białej Podlaskiej
2
University of Life Sciences in Lublin Uniwersytet Przyrodniczy w Lublinie, Katedra Zastosowań Matematyki i Informatyki
CORRESPONDING AUTHOR
Mirosława Wesołowska-Janczarek   

prof dr hab. Mirosława Wesołowska-Janczarek, Pope John Paul II State School of Higher Education in Biała Podlaska, Department of Economics and Management, Sidorska 95/97, 21-500 Biała Podlaska, Poland; phone: +48 83 344-99-05
Andrzej Kornacki   

dr hab. Andrzej Kornacki, University of Life Sciences in Lublin, Department of Applied Mathematics and Computer Science, Akademicka 12, 20-950 Lublin, Poland; phone: +48 81 445-68-10
Publication date: 2018-07-05
 
Economic and Regional Studies 2016;9(1):63–67
 
KEYWORDS
ABSTRACT
Subject and purpose of work: The work concerns coefficients of asymmetry As and γ the values of which are marked based on coefficients obtained from the sample and serve the description of empirical distributions. These coefficients inform of the strength and direction of asymmetry of distribution. The direction is ruled by the sign of coefficient while the strength-by its absolute value. Since for certain empirical distributions these coefficients have different signs an attemt was made to define the conditions in which such a situation may occur. Materials and methods: Within the conducted research different examples of empirical distributions were considered and simulation methods were applied to establish the condition for occurrence of various signs, including coefficients. This condition is based on the location of arithmetical mean of observation in terms of the range , where D is a dominant of data set and Z is a certain volume also indicated on the basis of the same set of observations. Results: As a result of conducted research it was agreed that both analysed coefficients of asymmetry have the same signs where arithmetical mean is located inside the range and different when it is located outside this range. Conclusions: Within the specific research of the selected feature one should calculate only one of these coefficients.
 
REFERENCES (4)
1.
Jóźwiak J., Podgórski J. (2012), Statystyka od podstaw. PWE, Warszawa.
 
2.
Ostasiewicz S., Rusnak Z., Siedlecka U. (1998), Statystyka. Elementy teorii i zastosowania. Wrocław.
 
3.
Wesołowska-Janczarek M. (2015), Kilka uwag o asymetrii rozkładów empirycznych/ Some notes on the asymmetry of empirical distributions. Economic and Regional Studies, vol. 8, no. 2, pp. 80-84.
 
4.
Wikipedia. http://org/wiki/współczynnik skośności (2015).
 
eISSN:2451-182X
ISSN:2083-3725