8
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A Wavelet Estimator of the Intensity Function with Censored Data

&
Pages 401-410 | Received 01 Nov 2009, Accepted 01 Oct 2010, Published online: 09 Feb 2016

References

  • Andersen, P. K., Borgan, O., Gill, R. D. and Keiding, N. (1993). Statistical Models Based on Counting Processes. Springer Series in Statistics. New York, Springer-Verlag.
  • Antoniadis, A., Gregoire, G. and McKeague, I. W. (1994). Wavelet methods for curve estimation. Journal of the American Statistical Association, 89(428), 1340–1353.
  • Antoniadis, A., Gregoire, G. and Nason, G. (1999). Density and hazard rate estimation for right-censored data by using wavelet methods. Journal of the Royal Statistical Society Series B-Statistical Methodology, 61(1), 63–84.
  • Bagdonavicius, V. and Nikulin, M. S. (2002). Accelerated Life Models. Modeling and Statistical Analysis. Chapman & hall.
  • Bezandry, P. H., Bonney, G. E. and Gannoun, A. (2005). Consistent estimation of the density and hazard rate functions for censored data via the wavelet method. Statistics and Probability Letters, 74(4), 366–372.
  • Diehl, S. and Stute, W. (1988). Kernel density and hazard function estimation in the presence of censoring. Journal of Multivariate Analysis, 25(2), 299–310.
  • Dupuy, J. F. and Gneyou, K. E. (2008). A wavelet estimator of the intensity function with censored data. Proceedings of the Second International Conference on Accelerated Life Testing in Reliability and (Quality Control, Bordeaux, France, 48–51.
  • Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis. Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics. New York, John Wiley & Sons Inc.
  • Foldes, A. and Rejto, L. (1981). A IL type result for the product limit estimator. Zeitschrift Fur Wahrscheinlichkeitstheorie and Verwandte Gebiete, 56(1), 75–86.
  • Gneyou, K. E. (2008). Hazard rate prediction in life time data analysis. African Diaspora Journal of Mathematics, 5(2), 107–120.
  • Klein, J. P. and Moeschberger, M. L. (1997). Survival Analysis. Techniques for Censored and Truncated Data. Statistics for Biology and Health. New York, Springer.
  • Lauter, H. and Liero, H. (2006). Nonparametric estimation and testing in survival models. In Probability, Statistics and Modelling in Public Health, 319–331. New York, Springer.
  • Li, L. (2002). Hazard rate estimation for censored data by wavelet methods. Communications in Statistics: Theory and Methods, 31(6), 943–960.
  • Li, T., Li, Q., Zhu, S. and Ogihara, M. (2002). A survey on wavelet applications in data mining. SIGKDD Explorations, 4(2), 49–68.
  • Mallat, S. G. (1989). Multiresolution approximations and wavelet orthonormal bases of L(ℝ). Transactions of the American Mathematical Society, 315(1), 69–87.
  • Martinussen, T. and Scheike, T. H. (2006). Dynamic Regression Models for Survival Data. Statistics for Biology and Health. New York, Springer.
  • Meeker, W. Q. and Escobar, L. A. (1998). Statistical Methods for Reliability Data. Wiley Series in Probability and Mathematical Statistics. New York, Wiley.
  • Wu, S. S. and Wells, M. T. (2003). Nonparametric estimation of hazard functions by wavelet methods. Journal of Nonparametric Statistics, 15(2), 187–203.

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.