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Generalized k‐variate proportional hazard function for censored survival data

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  • Hilmi Fadel Kittani

Abstract

This note develops a generalized k$$ k $$‐variate hazard function for censored data in survival analysis. It introduces a generalized recursive formula, extending the bivariate and trivariate cases introduced by Clayton and Cuzick (1985, Journal of the Royal Statistical Society: Series A (General), 148(2):82–108) and Kittani (1995, Journal of Mathematical Sciences, 67–74), respectively. The newly developed function is explicitly specified by k$$ k $$ association parameters and k$$ k $$ marginal hazard functions.

Suggested Citation

  • Hilmi Fadel Kittani, 2024. "Generalized k‐variate proportional hazard function for censored survival data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 78(3), pages 478-484, August.
    • Handle: RePEc:bla:stanee:v:78:y:2024:i:3:p:478-484
    DOI: 10.1111/stan.12327
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    3. Pan, Xiao-Rong & Zhou, Mai, 2002. "Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data," Journal of Multivariate Analysis, Elsevier, vol. 80(1), pages 166-188, January.
    4. Tianxi Cai & Rebecca A. Betensky, 2003. "Hazard Regression for Interval-Censored Data with Penalized Spline," Biometrics, The International Biometric Society, vol. 59(3), pages 570-579, September.
    5. P. Holmes & A. Hunt & I. Stone, 2010. "An analysis of new firm survival using a hazard function," Applied Economics, Taylor & Francis Journals, vol. 42(2), pages 185-195.
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