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Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores

PloS one, 2016-06, Vol.11 (6), p.e0157653-e0157653 [Peer Reviewed Journal]

2016 Fukunaga et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;2016 Fukunaga et al 2016 Fukunaga et al ;ISSN: 1932-6203 ;EISSN: 1932-6203 ;DOI: 10.1371/journal.pone.0157653 ;PMID: 27310915

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Title:
Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
Author: Fukunaga, Gaku ; Takayasu, Hideki ; Takayasu, Misako
Zhou, Wei-Xing
Subjects: Binomial distribution ; Biology and Life Sciences ; Commerce - economics ; Commerce - statistics & numerical data ; Computer and Information Sciences ; Convenience stores ; Data analysis ; Data processing ; Data storage ; Divestitures ; Economic models ; Economic statistics ; Engineering and Technology ; Equipment and Supplies - statistics & numerical data ; Fluctuations ; Generalized linear models ; Humans ; Interdisciplinary aspects ; Inventory management ; Japan ; Marketing ; Medicine and Health Sciences ; Models, Statistical ; Parameter estimation ; Physical Sciences ; Poisson Distribution ; Price cuts ; Price elasticity ; Purchasing ; Research and Analysis Methods ; Sales promotions ; Scaling ; Scaling laws ; Social Sciences ; Systems science ; Time series
Is Part Of: PloS one, 2016-06, Vol.11 (6), p.e0157653-e0157653
Description: The ability to ascertain the extent of product sale fluctuations for each store and locality is indispensable to inventory management. This study analyzed POS data from 158 convenience stores in Kawasaki City, Kanagawa Prefecture, Japan and found a power scaling law between the mean and standard deviation of product sales quantities for several product categories. For the statistical domains of low sales quantities, the power index was 1/2; for large sales quantities, the power index was 1, so called Taylor's law holds. The value of sales quantities with changing power indixes differed according to product category. We derived a Poissonian compound distribution model taking into account fluctuations in customer numbers to show that the scaling law could be explained theoretically for most of items. We also examined why the scaling law did not hold in some exceptional cases.
Publisher: United States: Public Library of Science
Language: English
Identifier: ISSN: 1932-6203
EISSN: 1932-6203
DOI: 10.1371/journal.pone.0157653
PMID: 27310915
Source: Public Library of Science (PLoS) Journals Open Access
GFMER Free Medical Journals
MEDLINE
PubMed Central
ProQuest Central
DOAJ Directory of Open Access Journals

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Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores

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