291
Views
7
CrossRef citations to date
0
Altmetric
Research Article

Compound zero-truncated Poisson normal distribution and its applications

, &
Pages 3030-3050 | Received 23 Aug 2018, Accepted 07 Oct 2019, Published online: 23 Oct 2019

References

  • Andrews, D. F., and A. M. Herzberg. 1985. Data: A collection of problems from many fields for the student and research worker. New York: Springer.
  • Asgharzadeh, A., L. Esmaily, and S. Nadarajah. 2013. Approximate MLEs for the location and scale parameters of the skew logistic distribution. Statistical Papers 54 (2):391–411. doi:10.1007/s00362-012-0436-3.
  • Asgharzadeh, A., L. Esmaeili, and S. Nadarajah. 2016. Balakrishnan skew logistic distribution. Communications in Statistics – Theory and Methods 45 (2):444–64. doi:10.1080/03610926.2013.823205.
  • Azzalini, A. A. 1985. A class of distributions which include the normal. Scandinavian Journal of Statistics 12:171–8.
  • Azzalini, A. 2005. The skew-normal distribution and related multivariate families. Scandinavian Journal of Statistics 32 (2):159–200. doi:10.1111/j.1467-9469.2005.00426.x.
  • Barreto-Souza, W. 2012. The skew-normal distribution and related multivariate families. Scandinavian Journal of Statistics 109:130–45.
  • Gupta, R.C., and R. D. Gupta. 2008. Analyzing skewed data by power normal model. Test 17 (1):197–210. doi:10.1007/s11749-006-0030-x.
  • Jamalizadeh, A., J. Behboodian, and N. Balakrishnan. 2008. A two-parameter generalized skew-normal distribution. Statistics & Probability Letters 78:1722–6. doi:10.1016/j.spl.2008.01.006.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1995. Continuous univariate distribution. Vol. 1. New York: Wiley.
  • Kazemi, R., and M. Noorizadeh. 2015. A comparison between skew-logistic and skew-normal distributions. Mathematika 31:15–24.
  • Kozubowski, T. J., A. K. Panorska, and K. Podgórski. 2008. A bivariate Lévy process with negative binomial and gamma marginals. Journal of Multivariate Analysis 99 (7):1418–37. doi:10.1016/j.jmva.2008.02.029.
  • Kundu, D. 2014. Geometric skew normal distribution. Sankhya B 76 (2):167–89. doi:10.1007/s13571-014-0082-y.
  • Kundu, D., and V. Nekoukhou. 2018. Univariate and bivariate geometric discrete generalized exponential distribution. Journal of Statistical Theory and Practice 12 (3):595– 614. doi:10.1080/15598608.2018.1441082.
  • Louis, T. A. 1982. Finding the observed information matrix when uisng the EM algorithm. Journal of the Royal Statistical Society: Series B (Methodological) 44:226–33. doi:10.1111/j.2517-6161.1982.tb01203.x.
  • Pewsey, A. 2000. Problems of inference for Azzalini’s skew-normal distribution. Journal of Applied Statistics 27 (7):859–70. doi:10.1080/02664760050120542.
  • Sharafi, M., and J. Behboodian. 2008. The Balakrishnan skew-normal density. Statistical Papers 49 (4):769–78. doi:10.1007/s00362-006-0038-z.
  • Willmot, G. E., and X. S. Lin. 2001. Lundberg Approximations for Compound Distributions with Insurance Applications. Lecture Notes in Statistics, Vol. 156. New York: Springer.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.