257
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Exponentiated-exponential geometric regression model

ORCID Icon &
Pages 2963-2977 | Received 02 Oct 2015, Accepted 22 Nov 2016, Published online: 14 Dec 2016

References

  • A. Alzaatreh, C. Lee, and F. Famoye, On the discrete analogues of continuous distributions, Stat. Methodol. 9 (2012), pp. 589–603. doi: 10.1016/j.stamet.2012.03.003
  • A. Alzaatreh, C. Lee, and F. Famoye, A new method for generating families of continuous distributions, Metron. 71 (2013), pp. 63–79. doi: 10.1007/s40300-013-0007-y
  • B. Basu and F. Famoye, Domestic violence against women and their economic dependence: A count data analysis, Rev. Political Econ. 16 (2004), pp. 457–472. doi: 10.1080/0953825042000256685
  • A.C. Cameron and P. Johansson, Count data regression using series expansion: With applications, J. Appl. Econom. 12 (1997), pp. 203–223. doi: 10.1002/(SICI)1099-1255(199705)12:3<203::AID-JAE446>3.0.CO;2-2
  • A.C. Cameron and P.K. Trivedi, Regression Analysis of Count Data, 2nd ed., Cambridge University Press, Cambridge, 2013.
  • A.C. Cameron, P.K. Trivedi, F. Milne, and J. Piggott, A microeconomic model of the demand for health care and health insurance in Australia, Rev. Econom. Stud. LV (1988), pp. 85–106. doi: 10.2307/2297531
  • P.C. Consul, Generalized Poisson Distributions: Properties and Applications, Marcel Dekker, New York, 1989.
  • F. Famoye, Restricted generalized Poisson regression model, Commun. Stat. Theory Methods 22 (1993), pp. 1335–1354. doi: 10.1080/03610929308831089
  • F. Famoye, On the bivariate negative binomial regression model, J. Appl. Stat. 37 (2010), pp. 969–981. doi: 10.1080/02664760902984618
  • F. Famoye, A multivariate generalized Poisson regression model, Commun. Stat. Theory Methods 44 (2015), pp. 497–511. doi: 10.1080/03610926.2012.743565
  • F. Famoye and K.P. Singh, Zero-inflated generalized Poisson regression model with applications to domestic violence data, J. Data Sci. 4 (2006), pp. 117–130.
  • F. Famoye and W. Wang, Censored generalized Poisson regression model, J. Comput. Stat. Data Anal. 46 (2004), pp. 547–560. doi: 10.1016/j.csda.2003.08.007
  • E.L. Frome, The analysis of rates using Poisson regression models, Biometrics 39 (1983), pp. 665–674. doi: 10.2307/2531094
  • E.L. Frome, M.H. Kurtner, and J.J. Beauchamp, Regression analysis of Poisson-distributed data, J. Amer. Stat. Assoc 68 (1973), pp. 935–940. doi: 10.1080/01621459.1973.10481449
  • R.D. Gupta and D. Kundu, Exponentiated-exponential family: An alternative to gamma and Weibull distributions, Biom. J. 43 (2001), pp. 117–130. doi: 10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R
  • S. Gurmu and J. Elder, Generalized bivariate count data regression models, Econom. Lett. 68 (2000), pp. 31–36. doi: 10.1016/S0165-1765(00)00225-1
  • J. Hinde, Compound Poisson regression models, in GLIM 82: Proceedings International Conference on Generalized Linear Models, R. Gilchrist, ed., Springer, Berlin, 1982, pp. 109–121.
  • T.R. Holford, The estimation of age, period and cohort effects of vital rates, Biometrics 39 (1983), pp. 311–324. doi: 10.2307/2531004
  • D.W. Jorgenson, Multiple regression analysis of a Poisson process, J. Amer. Stat. Assoc. 56 (1961), pp. 235–245. doi: 10.1080/01621459.1961.10482106
  • M.G. Kendall, Natural law in the social sciences, J. R. Stat. Soc. Ser. A (General) 124 (1961), pp. 1–19. doi: 10.2307/2343149
  • C.C. Kokonendji, Over- and underdispersion models, in Methods and Applications of Statistics in Clinical Trials, Volume 2: Planning, Analysis, and Inferential Methods, N. Balakrishnan, ed., Wiley, Hoboken, NJ, 2014, pp. 506–526.
  • D. Lambert, Zero-inflated Poisson regression, with an application to defects in manufacturing, Technometrics 34 (1992), pp. 1–14. doi: 10.2307/1269547
  • J.F. Lawless, Negative binomial and mixed Poisson regression, Canad. J. Stat. 15 (1987), pp. 209–225. doi: 10.2307/3314912
  • J.F. Lawless, Statistical Models and Methods for Lifetime Data, 2nd ed., Wiley, Hoboken, NJ, 2003.
  • P. McCullagh and J.A. Nelder, Generalized Linear Models, 2nd ed., Chapman and Hall, London, 1989.
  • J. Mullahy, Heterogeneity, excess zeros, and the structure of count data models, J. Appl. Econom. 12 (1997), pp. 337–350. doi: 10.1002/(SICI)1099-1255(199705)12:3<337::AID-JAE438>3.0.CO;2-G
  • J.V. Terza, A Tobit-type estimator for the censored Poisson regression model, Econom. Lett. 18 (1985), pp. 361–365. doi: 10.1016/0165-1765(85)90053-9
  • Q.H. Vuong, Likelihood ratio tests for model selection and non-nested hypotheses, Econometrica 57 (1989), pp. 307–333. doi: 10.2307/1912557
  • E. Xekalaki, On the distribution theory of over-dispersion, J. Stat. Distrib. Appl. 1 (2014), pp. 1–22. doi: 10.1186/s40488-014-0019-z

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.