var_TTC_tneh2: var_TTC_tneh2 function

Description

calculates the variance of TTC in a non-mixture model with distribution "TNEH"

Usage

var_TTC_tneh2(
  z_alpha,
  z_tau,
  xmax,
  object,
  epsilon = epsilon,
  TTC,
  cumLexctopred = NULL,
  Dpttc = NULL
)

Arguments

z_alpha: Covariates matrix acting on parameter alpha of the density of time-to-null excess hazard model
z_tau: Covariates matrix acting on time-to-null parameter.
xmax: time max at which Pi(t) is calculated.
object: ouput from a model implemented in curesurv
epsilon: value fixed by user to estimate the TTC \(\text{Pi}(t)\geq (1-\epsilon)\). By default \(\epsilon = 0.05\).
TTC: time to cure calculated by TTC_adtneh2
cumLexctopred: pre prediction, if NULL recalculated
Dpttc: Partial derivatives of probability to be cure by theta which can be evaluated at t = TTC, if NULL it is recalculated

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)