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Pareto law of the expenditure of a person in convenience stores

Author

Listed:
  • Mizuno, Takayuki
  • Toriyama, Masahiro
  • Terano, Takao
  • Takayasu, Misako

Abstract

We study the statistical laws of the expenditure of a person in convenience stores by analyzing around 100 million receipts. The density function of expenditure exhibits a fat tail that follows a power law. Using the Lorenz curve, the Gini coefficient is estimated to be 0.70; this implies that loyal customers contribute significantly to a store’s sales. We observe the Pareto principle where both the top 25% and 2% of the customers account for 80% and 25% of the store’s sales, respectively.

Suggested Citation

  • Mizuno, Takayuki & Toriyama, Masahiro & Terano, Takao & Takayasu, Misako, 2008. "Pareto law of the expenditure of a person in convenience stores," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3931-3935.
  • Handle: RePEc:eee:phsmap:v:387:y:2008:i:15:p:3931-3935
    DOI: 10.1016/j.physa.2008.01.059
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    Citations

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    Cited by:

    1. Barigozzi, Matteo & Alessi, Lucia & Capasso, Marco & Fagiolo, Giorgio, 2012. "The distribution of household consumption-expenditure budget shares," Structural Change and Economic Dynamics, Elsevier, vol. 23(1), pages 69-91.
    2. Gao, Li, 2015. "Evolution of consumption distribution and model of wealth distribution in China between 1995 and 2012," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 76-86.
    3. Touzani, Samir & Van Buskirk, Robert, 2016. "Estimating sales and sales market share from sales rank data for consumer appliances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 266-276.
    4. Chatterjee, Arnab & Chakrabarti, Anindya S. & Ghosh, Asim & Chakraborti, Anirban & Nandi, Tushar K., 2016. "Invariant features of spatial inequality in consumption: The case of India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 169-181.
    5. Raphie Hayat & Frank Butter & Udo Kock, 2013. "Halal Certification for Financial Products: A Transaction Cost Perspective," Journal of Business Ethics, Springer, vol. 117(3), pages 601-613, October.
    6. Matteo Barigozzi & Lucia Alessi & Marco Capasso & Giorgio Fagiolo, 2008. "The Distribution of Consumption-Expenditure Budget Shares. Evidence from Italian Households," Papers on Economics and Evolution 2008-09, Philipps University Marburg, Department of Geography.
    7. Aki-Hiro Sato, 2012. "Econoinformatics meets Data-Centric Social Sciences," Papers 1210.4643, arXiv.org, revised Apr 2013.

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