804
Views
0
CrossRef citations to date
0
Altmetric
Articles

On the MLE of the Waring distribution

, &
Pages 144-158 | Received 17 Sep 2022, Accepted 27 Jan 2023, Published online: 13 Feb 2023

References

  • Garcia, J. M. (2011). A fixed-point algorithm to estimate the Yule–Simon distribution parameter. Applied Mathematics and Computation, 217(21), 8560–8566. https://doi.org/10.1016/j.amc.2011.03.092
  • Huete-Morales, M. D., & Marmolejo-Martín, J. A. (2020). The Waring distribution as a low-frequency prediction model: A study of organic livestock farms in Andalusia. Mathematics, 8(11), 2025. https://doi.org/10.3390/math8112025
  • Mills, T. (2017). A statistical biography of george udny yule: A loafer of the world. Cambridge Scholars Press.
  • Panaretos, J., & Xekalaki, E. (1986). The stuttering generalized waring distribution. Statistics and Probability Letters, 4(6), 313–318. https://doi.org/10.1016/0167-7152(86)90051-9
  • Price, D. (1965). Network of scientific papers. Science, 149(3683), 510–515. https://doi.org/10.1126/science.149.3683.510
  • Price, D. (1976). A general theory of bibliometric and other cumulative advantage processes. Journal of the American Society for Information Science, 27(5), 292–306. https://doi.org/10.1002/(ISSN)1097-4571
  • Rivas, L., & Campos, F. (2021). Zero inflated Waring distribution. Communications in Statistics – Simulation and Computation, to appear. https://doi.org/10.1080/03610918.2021.1944638
  • Seal, H. L. (1947). A probability distribution of deaths at age x when policies are counted instead of lives. Scandinavian Actuarial Journal, 1947, 118–43. https://doi.org/10.1080/03461238.1947.10419647
  • Seal, H. L. (1952). The maximum likelihood fitting of the discrete Pareto law. Journal of the Institute of Actuaries, 78(1), 115–121. https://doi.org/10.1017/S0020268100052501
  • Simon, H. A. (1955). On a class of skew distribution functions. Biometrika, 42(3–4), 425–440. https://doi.org/10.1093/biomet/42.3-4.425
  • Xekalaki, E. (1983). The univariate generalized Waring distribution in relation to accident theory: Proneness, spells or contagion? Biometrics, 39(4), 887–895. https://doi.org/10.2307/2531324
  • Xekalaki, E. (1985). Factorial moment estimation for the bivariate generalized Waring distribution. Statistical Papers, 26(1), 115–129. https://doi.org/10.1007/BF02932525
  • Yule, G. U. (1925). A mathematical theory of evolution, based on the conclusions of Dr. J. C. Willis, F.R.S. Philosophical Transactions of the Royal Society B, 213, 21–87.