clayton_sim {mhazard}

Simulated Clayton-Oakes data.

Description

Data simulated under Clayton-Oakes model (Equation 1.7, page 7 of Prentice and Zhao) at various theta values and n = 50, with each observed time having a 1/3 probability of being censored. Variate T_i is right-censored by C_i for i = 1,2 (see pages 52 and 53 of Prentice and Zhao 2019), and min(T_i,C_i) = S_i, with delta_i = 1 if T_i = S_i, and 0 otherwise (i.e., if T_i = S_i then the data was not censored).

Usage

data(clayton_sim)

Format

A data frame with 150 rows and 5 variables:

Theta:

Parameter value in Clayton-Oakes model.

S1:

min(T_1, C_1), where T_1 is time of interest and C_1 is a censoring variable. We see T_1 if it is not censored (i.e. C_1 > T_1), and we see C_1 otherwise.

d1:

I(T_1=S_1), i.e. 1 if T_1 = S_1 and 0 otherwise.

S2:

See S1.

d2:

See d1.

Source

Table 3.4, page 70 of Prentice and Zhao 2019.

References

Prentice, R., Zhao, S. "The statistical analysis of multivariate failure time data: A marginal modeling approach", CRC Press (2019).