| Sdist.GFGM.BurrIII {GFGM.copula} | R Documentation |
Sub-distribution functions under the generalized FGM copula with the Burr III margins
Description
Sub-distribution functions under the generalized FGM copula with the Burr III margins.
Usage
Sdist.GFGM.BurrIII(time, Alpha, Beta, Gamma, p, q, theta, eta = 0)
Arguments
time |
Vector of times. |
Alpha |
Positive shape parameter for the Burr III margin (failure cause 1). |
Beta |
Positive shape parameter for the Burr III margin (failure cause 2). |
Gamma |
Common positive shape parameter for the Burr III margins. |
p |
Copula parameter that greater than or equal to 1. |
q |
Copula parameter that greater than 1 (integer). |
theta |
Copula parameter with restricted range. |
eta |
Location parameter with default value 0. |
Details
The copula parameter q is restricted to be a integer due to the binominal theorem.
The admissible range of theta is given in Dependence.GFGM.
Value
time |
Failure times |
Sdist.1 |
Probability of an object fails due to the failure cause 1. |
Sdist.2 |
Probability of an object fails due to the failure cause 2. |
References
Shih J-H, Emura T (2018) Likelihood-based inference for bivariate latent failure time models with competing risks udner the generalized FGM copula, Computational Statistics, 33:1293-1323.
Shih J-H, Emura T (2019) Bivariate dependence measures and bivariate competing risks models under the generalized FGM copula, Statistical Papers, 60:1101-1118.
See Also
MLE.GFGM.BurrIII, Dependence.GFGM
Examples
library(GFGM.copula)
Sdist.GFGM.BurrIII(c(1:5),1,1,1,3,2,0.75,eta = 1)