Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns

The paper aims at presentation of a methodology where the classical linear regression model is modified to guarantee more realistic estimations and lower parameter oscillations for a specific urban system. That can be achieved by means of the weighted regression model which is based on weights ascri...

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Autores principales:	Sokołowski Dariusz, Jażdżewska Iwona
Formato:	article
Lenguaje:	EN
Publicado:	Sciendo 2021
Materias:	city size distribution weight of cities zipf's law rank-size rule weighted regression usa poland Geography (General) G1-922
Acceso en línea:	https://doaj.org/article/7ce7d75a0dae423faad1b64ef180bdfe
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id	oai:doaj.org-article:7ce7d75a0dae423faad1b64ef180bdfe
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spelling	oai:doaj.org-article:7ce7d75a0dae423faad1b64ef180bdfe2021-12-05T14:11:06ZZipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns2083-829810.2478/bog-2021-0028https://doaj.org/article/7ce7d75a0dae423faad1b64ef180bdfe2021-09-01T00:00:00Zhttps://doi.org/10.2478/bog-2021-0028https://doaj.org/toc/2083-8298The paper aims at presentation of a methodology where the classical linear regression model is modified to guarantee more realistic estimations and lower parameter oscillations for a specific urban system. That can be achieved by means of the weighted regression model which is based on weights ascribed to individual cities. The major shortcoming of the methods used so far – especially the classical simple linear regression – is the treatment of individual cities as points carrying the same weight, in consequence of which the linear regression poorly matches the empirical distribution of cities. The aim is reached in a several-stage process: demonstration of the drawbacks of the linear parameter estimation methods traditionally used for the purposes of urban system analyses; introduction of the weighted regression which to a large extent diminishes specific drawbacks; and empirical verification of the method with the use of the input data for the USA and PolandSokołowski DariuszJażdżewska IwonaSciendoarticlecity size distributionweight of citieszipf's lawrank-size ruleweighted regressionusapolandGeography (General)G1-922ENBulletin of Geography: Socio-Economic Series, Vol 53, Iss 53, Pp 147-156 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	city size distribution weight of cities zipf's law rank-size rule weighted regression usa poland Geography (General) G1-922
spellingShingle	city size distribution weight of cities zipf's law rank-size rule weighted regression usa poland Geography (General) G1-922 Sokołowski Dariusz Jażdżewska Iwona Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns
description	The paper aims at presentation of a methodology where the classical linear regression model is modified to guarantee more realistic estimations and lower parameter oscillations for a specific urban system. That can be achieved by means of the weighted regression model which is based on weights ascribed to individual cities. The major shortcoming of the methods used so far – especially the classical simple linear regression – is the treatment of individual cities as points carrying the same weight, in consequence of which the linear regression poorly matches the empirical distribution of cities. The aim is reached in a several-stage process: demonstration of the drawbacks of the linear parameter estimation methods traditionally used for the purposes of urban system analyses; introduction of the weighted regression which to a large extent diminishes specific drawbacks; and empirical verification of the method with the use of the input data for the USA and Poland
format	article
author	Sokołowski Dariusz Jażdżewska Iwona
author_facet	Sokołowski Dariusz Jażdżewska Iwona
author_sort	Sokołowski Dariusz
title	Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns
title_short	Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns
title_full	Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns
title_fullStr	Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns
title_full_unstemmed	Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns
title_sort	zipf's law for cities: estimation of regression function parameters based on the weight of american urban areas and polish towns
publisher	Sciendo
publishDate	2021
url	https://doaj.org/article/7ce7d75a0dae423faad1b64ef180bdfe
work_keys_str_mv	AT sokołowskidariusz zipfslawforcitiesestimationofregressionfunctionparametersbasedontheweightofamericanurbanareasandpolishtowns AT jazdzewskaiwona zipfslawforcitiesestimationofregressionfunctionparametersbasedontheweightofamericanurbanareasandpolishtowns
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Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns

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