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curesurv (version 0.1.2)

lexc_alphaweibull: lexc_alphaweibull function

Description

calculates the instantaneous excess hazard from a Weibull distribution

Usage

lexc_alphaweibull(
  z_ucured = z_ucured,
  z_pcured = z_pcured,
  x = x,
  theta = theta,
  sign_delta = 1
)

Value

An object of class curesurv. This object is a vector containing:

Arguments

z_ucured

covariates matrix acting on survival function of uncured

z_pcured

covariates matrix acting on cure proportion.

x

the time arguments at which to calculate the cumulative excess hazard

theta

the parameters of the cumulative excess hazard from a Weibull distribution

sign_delta

only used for mixture cure rate models to specify if the effects or minus the effects of covariates acting on uncured survival to be considered. Default will be sign_delta = "1". The alternative is sign_delta = "-1".

References

Mudholkar, G.S. and Srivastava, D.K. (1993). Exponentiated Weibull family for analyzing bathtub failure-rate data, IEEE Transactions on Reliability, 42, 299–302.

Mudholkar, G.S., Srivastava, D.K., and Freimer, M. (1995). The exponentiated Weibull family: a reanalysis of the bus-motor-failure data, Technometrics, 37, 436-445.doi:10.2307/1269735 (jstor)