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A generalized gamma distribution with application to drought data

Author

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  • Nadarajah, Saralees
  • Gupta, Arjun K.

Abstract

Gamma distributions are some of the most popular models for hydrological processes. In this paper, a very flexible family which contains the gamma distribution as a particular case is introduced. Evidence of flexibility is shown by examining the shape of its probability density function (pdf). A treatment of the mathematical properties is provided by deriving expressions for the n th moment. Estimation and simulation issues are also considered. Finally, a detailed application to drought data from the State of Nebraska is illustrated.

Suggested Citation

  • Nadarajah, Saralees & Gupta, Arjun K., 2007. "A generalized gamma distribution with application to drought data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 1-7.
    • Handle: RePEc:eee:matcom:v:74:y:2007:i:1:p:1-7
    DOI: 10.1016/j.matcom.2006.04.004
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    Cited by:

    1. Alba Fernández, M.V. & Jiménez Gamero, M.D. & Castillo Gutiérrez, S., 2014. "Approximating a class of goodness-of-fit test statistics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 102(C), pages 24-38.
    2. Kiche J & Oscar Ngesa & George Orwa, 2019. "On Generalized Gamma Distribution and Its Application to Survival Data," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(5), pages 85-102, September.
    3. Morad Alizadeh & Fazlollah Lak & Mahdi Rasekhi & Thiago G. Ramires & Haitham M. Yousof & Emrah Altun, 2018. "The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications," Computational Statistics, Springer, vol. 33(3), pages 1217-1244, September.
    4. Mehrzad Ghorbani & Seyed Fazel Bagheri & Mojtaba Alizadeh, 2017. "A New Family of Distributions: The Additive Modified Weibull Odd Log-logistic-G Poisson Family, Properties and Applications," Annals of Data Science, Springer, vol. 4(2), pages 249-287, June.
    5. Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012. "Generalized beta-generated distributions," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
    6. Zubair Ahmad, 2020. "The Zubair-G Family of Distributions: Properties and Applications," Annals of Data Science, Springer, vol. 7(2), pages 195-208, June.
    7. Gauss Cordeiro & Elizabeth Hashimoto & Edwin Ortega & Marcelino Pascoa, 2012. "The McDonald extended distribution: properties and applications," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(3), pages 409-433, July.
    8. Altemir Silva Braga & Gauss M. Cordeiro & Edwin M. M. Ortega & Giovana O. Silva, 2017. "The Odd Log-Logistic Student t Distribution: Theory and Applications," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 22(4), pages 615-639, December.
    9. Zubair Ahmad, 2020. "A New Generalized Class of Distributions: Properties and Estimation Based on Type-I Censored Samples," Annals of Data Science, Springer, vol. 7(2), pages 243-256, June.
    10. Aryal Gokarna R. & Yousof Haitham M., 2017. "The Exponentiated Generalized-G Poisson Family of Distributions," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 7-23, June.

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