TTC_ic_multneh: TTC_ic_multneh function

Description

calculates confidence interval of the time TTC from a non-mixture model with distribution "tneh", link_tau="loglinear"

Usage

TTC_ic_multneh(
  z_alpha,
  z_tau,
  xmax,
  object,
  epsilon = epsilon,
  level = level,
  TTC = NULL,
  DpTTC = NULL,
  cumLexctopred = 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 \(\epsilon = 0.05\).
level: 1-alpha/2-order quantile of a normal distribution
TTC: The time to cure, if NULL it is recalculated
DpTTC: partial derivatives, recalculated if not given
cumLexctopred: pre prediction, calculated if NULL

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)