82
Views
0
CrossRef citations to date
0
Altmetric
Articles

Some rk class proportional hazard regression models in the presence of collinearity: an evidence from Indian infant mortality

&
Pages 4880-4890 | Received 28 Jul 2020, Accepted 23 Aug 2021, Published online: 15 Sep 2021

References

  • Aguilera, A. M., M. Escabias, and M. J. Valderrama. 2006. Using principal components for estimating logistic regression with high-dimensional multicollinear data. Computational Statistics & Data Analysis 50 (8):1905–24. doi:10.1016/j.csda.2005.03.011.
  • Caldwell, J. C. 1979. Education as a factor in mortality decline: An examination of Nigerian data. Population Studies 33 (3):395–413. doi:10.2307/2173888.
  • Cessie, S. L. E., and J. C. V. Houwelingen. 1992. Ridge estimators in logistic regression. Applied Statistics 41 (1):191–201. doi:10.2307/2347628.
  • Chandra, R. K. 1978. Immunological aspects of human milk. Nutrition Reviews 36 (9):265–72. doi:10.1111/j.1753-4887.1978.tb07393.x.
  • Cox, D. R., and D. V. Hinkley. 1974. Theoretical statistics. London: Chapman and Hall.
  • Duffy, D. E., and T. J. Santner. 1989. On the small sample properties of norm-restricted maximum likelihood estimators for logistic regression models. Communications in Statistics - Theory and Methods 18 (3):959–80. doi:10.1080/03610928908829944.
  • Hobcraft, J. 1933. Womens education, child welfare and child survival: A review of the evidence. Health Transition Review 3 (2):159–73.
  • Hoerl, A. E., and R. W. Kennard. 1970. Ridge regression: Biased estimation for nonorthogonal problems. Technometrics 12 (1):55–67. doi:10.1080/00401706.1970.10488634.
  • Hoerl, A., R. Kennard, and K. Baldwin. 1970. Ridge regression: Some simulations. Communications in Statistics - Simulation and Computation 4 (2):105–1123. doi:10.1080/03610917508548342.
  • Jelliffe, D. B., and E. F. P. Jelliffe. 1978. Human milk in the modern world, 84–96. Oxford: Oxford University Press.
  • Lin, D., D. Banjevic, and A. K. S. Jardine. 2006. Using principal components in a proportional hazards model with applications in condition-based maintenance. Journal of the Operational Research Society 57 (8):910–19. doi:10.1057/palgrave.jors.2602058.
  • Mackinnon, M. J., and A. L. Puterman. 1989. Collinearity in generalized linear models. Communications in Statistics - Theory and Methods 18 (9):3463–72. doi:10.1080/03610928908830102.
  • Marx, B.D., and E.P. Smith. 1990. Principal component estimation for generalized linear regression. Biometrika 77 (1):23–31.
  • Massy, W. F. 1965. Principal components regression in exploratory statistical research. Journal of the American Statistical Association 60 (309):234–56. doi:10.1080/01621459.1965.10480787.
  • Nath, D. C., D. L. Leonetti, and M. S. Steele. 2000. Analysis of birth intervals in a non-contracepting Indian population: An evolutionary ecological approach. Journal of Biosocial Science 32 (3):343–354. doi:10.1017/s0021932000003436.
  • Ozkale, M. R. 2019. The red indicator and corrected VIFs in generalizedlinear models. Communications in Statistics - Simulation and Computation. Advance online publication. doi:10.1080/03610918.2019.1639740.
  • Ozkale, M. R., and E. Arican. 2016. A new biased estimator in logistic regression model. Journal of Theoretical and Applied Statistics 50 (2):233–53.
  • Palloni, A., and S. Millman. 1986. Effects of inter birth intervals and breastfeeding on infant and early childhood mortality. Population Studies 40 (2):215–36. doi:10.1080/0032472031000142036.
  • Palloni, A., and M. Tienda. 1986. The effects of breastfeeding and pace of childbearing on mortality at early ages. Demography 23 (1):31–52. doi:10.2307/2061406.
  • Schaefer, R. L., L. D. Roi, and R. A. Wolfe. 1984. A ridge logistic estimator. Communications in Statistics - Theory and Methods 13 (1):99–113. doi:10.1080/03610928408828664.
  • Singh, K. K., N. Pandey, and A. Gautam. 2007. Effect of breastfeeding and maternal health care programme on infant mortality. Demography India 36 (2):253–66.
  • Smith, E. P., and B. D. Marx. 2007. III-conditioned information matrices, generalized linear models and estimation of the effects of acid rain. Environmetrics 1 (1):57–71. doi:10.1002/env.3170010107.
  • Weissfeld, L. A., and S. M. Sereika. 1991. A multicollinearity diagnostic for generalized linear modelsy. Communications in Statistics - Theory and Methods 20 (4):1183–98. doi:10.1080/03610929108830558.
  • Xue, X., M. Y. Kim, and E. S. Roy. 2007. Cox regression analysis in presence of collinearity: An application to assessment of health risks associated with occupational radiation exposure. Lifetime Data Analysis 13 (3):333–50. doi:10.1007/s10985-007-9045-1.

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.