580
Views
14
CrossRef citations to date
0
Altmetric
Articles

Improved two-parameter estimators for the negative binomial and Poisson regression models

&
Pages 2645-2660 | Received 22 Apr 2019, Accepted 01 Jun 2019, Published online: 12 Jun 2019

References

  • Månsson K. On ridge estimators for the negative binomial regression model. Econ Model. 2012;29:178–184. doi: 10.1016/j.econmod.2011.09.009
  • Hoerl E, Kennard RW. Ridge regression: biased estimation for nonorthogonal problems. Technometrics. 1970;12:55–67. doi: 10.1080/00401706.1970.10488634
  • Månsson K. Developing a Liu estimator for the negative binomial regression model: method and application. J Stat Comput Simul. 2013;83:1773–1780. doi: 10.1080/00949655.2012.673127
  • Liu K. A new class of biased estimate in linear regression. Commun Stat Theory Methods. 1993;22:393–402. doi: 10.1080/03610929308831027
  • Huang J, Yang H. A two-parameter estimator in the negative binomial regression model. J Stat Comput Simul. 2014;84:124–134. doi: 10.1080/00949655.2012.696648
  • Månsson K, Shukur G. A Poisson ridge regression estimator. Econ Model. 2011;28:1475–1481. doi: 10.1016/j.econmod.2011.02.030
  • Månsson K, Kibria BMG, Sjolander P, et al. Improved Liu estimators for the poisson regression model. Int J Stat Probab. 2012;1:2–6. doi: 10.5539/ijsp.v1n1p2
  • Kibria BMG, Månsson K, Shukur G. Some ridge regression estimators for the ZIP model. J Appl Stat. 2013;40:721–735. doi: 10.1080/02664763.2012.752448
  • Kibria BMG, Månsson K, Shukur G. A simulation study of some biasing parameters for the ridge type estimation of poisson regression. Commun Stat Simul Comput. 2015;44:943–957. doi: 10.1080/03610918.2013.796981
  • Kibria BMG, Månsson K, Shukur G. On Liu estimators for the logit regression model. Econ Model. 2012;29:1483–1488. doi: 10.1016/j.econmod.2011.11.015
  • Türkan S, Özel G. A new modified Jackknifed estimator for the Poisson regression model. J Appl Stat. 2016;43:1892–1905. doi: 10.1080/02664763.2015.1125861
  • Kaçıranlar S, Dawoud I. On the performance of the poisson and the negative binomial ridge predictors. Commun Stat Simul. Comput. 2017;47:1751–1770. doi: 10.1080/03610918.2017.1324978
  • Asar Y, Genç A. A new two-parameter estimator for the Poisson regression model. Iran J Sci Technol. 2017;42:3.
  • Özkale MR, Kaçıranlar S. The restricted and unrestricted two parameter estimators. Commun Stat Theory Methods. 2007;36:2707–2725. doi: 10.1080/03610920701386877
  • Månsson K, Shukur G. On ridge parameters in logistic regression. Commun Stat Theory Methods. 2011;40:3366–3381. doi: 10.1080/03610926.2010.500111
  • Yang H, Chang X. A new two-parameter estimator in linear regression. Commun Stat Theory Methods. 2010;39:923–934. doi: 10.1080/03610920902807911
  • Gruber MHJ. Improving efficiency by shrinkage: the James Stein and ridge regression estimators. New York: Marcell Dekker; 1998.
  • Özkale MR. Influence measures in affine combination type regression. J Appl Stat. 2013;40:2219–2243. doi: 10.1080/02664763.2013.809568
  • Liu K. Using Liu-type estimator to combat collinearity. Commun Stat Theory Methods. 2003;32:1009–1020. doi: 10.1081/STA-120019959
  • Kaçıranlar S, Sakallıoğlu S, Akdeniz F, et al. A new biased estimator in linear regression and a detailed analysis of the widely-analyzed dataset on Portland Cement. Indian J Stat. 1999;61:443–459.
  • Arumairajan S, Wijekoon P. Modified almost unbiased Liu estimator in linear regression model. Commun Math Stat. 2017;5:261–276. doi: 10.1007/s40304-017-0111-z
  • Hilbe JM. Negative binomial regression. Cambrdige: Cambridge University Press; 2011.
  • Garthwaite PH, Jolliffe IT, Jones B. Statistical inference. Oxford: Oxford University Press; 2002.
  • Kibria BMG. Performance of some new ridge regression estimators. Commun Stat Simul Comput. 2003;32:419–435. doi: 10.1081/SAC-120017499
  • Alkhamisi M, Khalaf G, Shukur G. Some modifications for choosing ridge parameters. Commun Stat Theory Methods. 2006;35:2005–2020. doi: 10.1080/03610920600762905
  • Khalaf G, Shukur G. Choosing ridge parameter for regression problems. Commun Stat Theory Methods. 2005;34:1177–1182. doi: 10.1081/STA-200056836
  • Hoerl E, Kennard RW, Baldwin KF. Ridge regression: some simulation. Commun Stat Theory Methods. 1975;4:105–123.
  • Marquardt DW, Snee RD. Generalized in inverses, ridge regression, biased linear estimation. Technometrics. 1970;12:591–612. doi: 10.2307/1267205
  • Montgomery DC, Peck EA, Vining GG. Introduction to linear regression analysis. New York: Wiley; 2003.

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.