An alternative method to test scale invariance

We introduce an alternative method that is simple and can be used to test scale invariance or self-similarity in any types of data, irrespective of their distributions. Our method is based on estimating the Lorenz curve and the Kolmogorov–Smirnov test. This alternative method could be used as a prel...

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Main Authors: Thitithep Sitthiyot, Pornanong Budsaratragoon, Kanyarat Holasut
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:MethodsX
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215016120300947
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author Thitithep Sitthiyot
Pornanong Budsaratragoon
Kanyarat Holasut
author_facet Thitithep Sitthiyot
Pornanong Budsaratragoon
Kanyarat Holasut
author_sort Thitithep Sitthiyot
collection DOAJ
description We introduce an alternative method that is simple and can be used to test scale invariance or self-similarity in any types of data, irrespective of their distributions. Our method is based on estimating the Lorenz curve and the Kolmogorov–Smirnov test. This alternative method could be used as a preliminary screening before investigating further which types of distributions would fit the actual observations. • We introduce a simple method to test scale invariance, regardless of data distributions. • Our method is based on estimating the Lorenz curve and the Kolmogorov–Smirnov test. • This alternative method could serve as an initial screening before investigating further which types of distributions would fit the actual data.
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spelling doaj.art-5e1b8409643b4384a4c6536b5623ef3d2022-12-21T23:03:55ZengElsevierMethodsX2215-01612020-01-017100875An alternative method to test scale invarianceThitithep Sitthiyot0Pornanong Budsaratragoon1Kanyarat Holasut2Department of Banking and Finance, Faculty of Commerce and Accountancy, Chulalongkorn University, Mahitaladhibesra Bld., 10th Fl., Phayathai Rd., Pathumwan, Bangkok 10330, Thailand; Corresponding author.Department of Banking and Finance, Faculty of Commerce and Accountancy, Chulalongkorn University, Mahitaladhibesra Bld., 10th Fl., Phayathai Rd., Pathumwan, Bangkok 10330, ThailandDepartment of Chemical Engineering, Faculty of Engineering, Khon Kaen University, Mittapap Rd., Muang District, Khon Kaen 40002, ThailandWe introduce an alternative method that is simple and can be used to test scale invariance or self-similarity in any types of data, irrespective of their distributions. Our method is based on estimating the Lorenz curve and the Kolmogorov–Smirnov test. This alternative method could be used as a preliminary screening before investigating further which types of distributions would fit the actual observations. • We introduce a simple method to test scale invariance, regardless of data distributions. • Our method is based on estimating the Lorenz curve and the Kolmogorov–Smirnov test. • This alternative method could serve as an initial screening before investigating further which types of distributions would fit the actual data.http://www.sciencedirect.com/science/article/pii/S2215016120300947Scale-freeSelf-similarityRank-size distributionIncome and wealthLorenz curveKolmogorov–Smirnov test
spellingShingle Thitithep Sitthiyot
Pornanong Budsaratragoon
Kanyarat Holasut
An alternative method to test scale invariance
MethodsX
Scale-free
Self-similarity
Rank-size distribution
Income and wealth
Lorenz curve
Kolmogorov–Smirnov test
title An alternative method to test scale invariance
title_full An alternative method to test scale invariance
title_fullStr An alternative method to test scale invariance
title_full_unstemmed An alternative method to test scale invariance
title_short An alternative method to test scale invariance
title_sort alternative method to test scale invariance
topic Scale-free
Self-similarity
Rank-size distribution
Income and wealth
Lorenz curve
Kolmogorov–Smirnov test
url http://www.sciencedirect.com/science/article/pii/S2215016120300947
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