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Hirschman-Herfindahl index determination under incomplete information

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  • Eric Nauenberg
  • Kisalaya Basu
  • Harish Chand

Abstract

This paper utilizes techniques from combinatorics to derive a closed form solution for an estimator of that portion of a Hirschman-Herfindahl index which measures concentration for that segment of the market with unattributed market share. This index makes more complete use of sample information than other more conventional measures of limited-information market concentration like the C4 and C8 indices.

Suggested Citation

  • Eric Nauenberg & Kisalaya Basu & Harish Chand, 1997. "Hirschman-Herfindahl index determination under incomplete information," Applied Economics Letters, Taylor & Francis Journals, vol. 4(10), pages 639-642.
    • Handle: RePEc:taf:apeclt:v:4:y:1997:i:10:p:639-642
    DOI: 10.1080/758533291
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    References listed on IDEAS

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    1. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
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    Cited by:

    1. Christopher Bailey & Jason Taylor, 2009. "A concentration index for differentiated products: the case of religious competition," Applied Economics, Taylor & Francis Journals, vol. 41(14), pages 1745-1759.
    2. Crama, Yves & Leruth, Luc, 2007. "Control and voting power in corporate networks: Concepts and computational aspects," European Journal of Operational Research, Elsevier, vol. 178(3), pages 879-893, May.
    3. Bai, Chong-En & Mao, Jie & Zhang, Qiong, 2014. "Measuring market concentration in China: the problem with using censored data and its rectification," China Economic Review, Elsevier, vol. 30(C), pages 432-447.
    4. Maurizio Naldi & Marta Flamini, 2018. "Dynamics of the Hirschman–Herfindahl Index under New Market Entries," Economic Papers, The Economic Society of Australia, vol. 37(3), pages 344-362, September.
    5. Tóth, József, 2016. "Bounds of Herfindahl-Hirschman index of banks in the European Union," MPRA Paper 72922, University Library of Munich, Germany, revised 02 Apr 2016.
    6. Eric Nauenberg & Mahdi Alkhamisi & Yuri Andrijuk, 2004. "Simulation of a Hirschman–Herfindahl index without complete market share information," Health Economics, John Wiley & Sons, Ltd., vol. 13(1), pages 87-94, January.
    7. Martin Bod’a, 2017. "Stochastic sensitivity analysis of concentration measures," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 441-471, June.
    8. Kaushik Bhattacharya, 2003. "How good is the BankScope database? A cross-validation exercise with correction factors for market concentration measures," BIS Working Papers 133, Bank for International Settlements.
    9. Keshavarz, Ali Reza & Gölgeci, Ismail, 2023. "The value of the sales function: A multilevel examination of the effect of strategic marketing ambidexterity and industry contingencies," Journal of Business Research, Elsevier, vol. 156(C).
    10. Bassam M. Abu-Abbas, Turki Alhmoud, Fatima A. Algazo, 2019. "Financial leverage and firm performance: evidence from Amman stock exchange," European Journal of Comparative Economics, Cattaneo University (LIUC), vol. 16(2), pages 207-237, December.
    11. Agnieszka Kurdyś-Kujawska & Agnieszka Strzelecka & Danuta Zawadzka, 2021. "The Impact of Crop Diversification on the Economic Efficiency of Small Farms in Poland," Agriculture, MDPI, vol. 11(3), pages 1-21, March.
    12. Ján Derco, 2022. "The Impacts of the COVID-19 Pandemic on the Tour Operator Market—The Case of Slovakia," JRFM, MDPI, vol. 15(10), pages 1-8, October.
    13. Domínguez Jurado, José Miguel & Triguero-Ruiz, Francisco & Avila-Cano, Antonio, 2021. "Firm growth in the 21st century: Does the Andalusian economy comply with Gibrat’s Law?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).
    14. Jermias, Johnny, 2008. "The relative influence of competitive intensity and business strategy on the relationship between financial leverage and performance," The British Accounting Review, Elsevier, vol. 40(1), pages 71-86.

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