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Gamma-Maxwell distribution

Author

Listed:
  • Yuri A. Iriarte
  • Juan M. Astorga
  • Heleno Bolfarine
  • Héctor W. Gómez

Abstract

A new two-parameter distribution, the gamma-Maxwell distribution, isproposed and studied. We generate the new distribution using the gamma-G generator of distributions. The proposal distribution can be seen as an extension of the Maxwell distribution with more flexibility in terms of the distribution asymmetry and kurtosis. We study some probability properties, discuss maximum-likelihood estimation and present a real data application indicating that the new distribution can improve the ordinary Maxwell distribution in fitting real data.

Suggested Citation

  • Yuri A. Iriarte & Juan M. Astorga & Heleno Bolfarine & Héctor W. Gómez, 2017. "Gamma-Maxwell distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4264-4274, May.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:9:p:4264-4274
    DOI: 10.1080/03610926.2015.1081946
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    Cited by:

    1. Jaime S. Castillo & Katherine P. Gaete & Héctor A. Muñoz & Diego I. Gallardo & Marcelo Bourguignon & Osvaldo Venegas & Héctor W. Gómez, 2023. "Scale Mixture of Maxwell-Boltzmann Distribution," Mathematics, MDPI, vol. 11(3), pages 1-16, January.
    2. Shama, M.S. & Dey, Sanku & Altun, Emrah & Afify, Ahmed Z., 2022. "The Gamma–Gompertz distribution: Theory and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 689-712.

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