dpttcdtheta_multneh: dpttcdtheta_adtneh2 function

Description

Partial derivatives of probability to be cure by theta which can be evaluated at t = TTC, from predictions based on non-mixture model with distribution "tneh", link="loglinear".

Usage

dpttcdtheta_multneh(
  z_tau,
  z_alpha,
  x = x,
  object,
  res_pred = NULL,
  Dpi = NULL,
  Dsn = NULL
)

Arguments

z_tau: Covariates matrix acting on time-to-null parameter.
z_alpha: Covariates matrix acting on parameter alpha of the density of time-to-null excess hazard model
x: time at which the predictions are provided
object: ouput from a model implemented in curesurv
res_pred: a pre prediction parameter obtained with cumLexc_mul_topred
Dpi: Partial derivatives of Pi at time TTC, if NULL then calculated
Dsn: Partial derivatives of net survival at time TTC, if NULL then calculated

Author

Juste Goungounga, Judith Breaud, Olayide Boussari, Laura Botta, Valerie Jooste

References

Boussari O, Bordes L, Romain G, Colonna M, Bossard N, Remontet L, Jooste V. Modeling excess hazard with time-to-cure as a parameter. Biometrics. 2021 Dec;77(4):1289-1302. doi: 10.1111/biom.13361. Epub 2020 Sep 12. PMID: 32869288. (pubmed)

Boussari O, Romain G, Remontet L, Bossard N, Mounier M, Bouvier AM, Binquet C, Colonna M, Jooste V. A new approach to estimate time-to-cure from cancer registries data. Cancer Epidemiol. 2018 Apr;53:72-80. doi: 10.1016/j.canep.2018.01.013. Epub 2018 Feb 4. PMID: 29414635. (pubmed)