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How to simulate data set for exponential hazard function with competing risk.

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$begingroup$

I want to create a simulation study for two competing events (K=2) with exponential hazard function of lambda 1 = 0.5 and lambda 2 = 1.5.

How to generate the competing risk data with the simulation scheme below with R coding?

(i) with lambda 1 and lambda 2, simulate a failure time T using all cause hazards lambda 1 + lambda 2.
(ii) for determining the cause of T generated in (i), run a binomial experiment with a probability (lambda 1/ lambda 1 + lambda 2) on cause 1.
(iii) generate a right censoring time, C~Unif(c1,c2) where c1 and c2 are determined to a censoring rate.

Thanks!

statistics simulation

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asked Mar 29 at 9:46

gilgil

1

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
  $endgroup$
  – José Carlos Santos
  Mar 29 at 9:53
  

  
  
  
  

add a comment | 

0

$begingroup$

I want to create a simulation study for two competing events (K=2) with exponential hazard function of lambda 1 = 0.5 and lambda 2 = 1.5.

How to generate the competing risk data with the simulation scheme below with R coding?

(i) with lambda 1 and lambda 2, simulate a failure time T using all cause hazards lambda 1 + lambda 2.
(ii) for determining the cause of T generated in (i), run a binomial experiment with a probability (lambda 1/ lambda 1 + lambda 2) on cause 1.
(iii) generate a right censoring time, C~Unif(c1,c2) where c1 and c2 are determined to a censoring rate.

Thanks!

statistics simulation

share|cite|improve this question

asked Mar 29 at 9:46

gilgil

1

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
  $endgroup$
  – José Carlos Santos
  Mar 29 at 9:53
  

  
  
  
  

add a comment | 

$begingroup$

I want to create a simulation study for two competing events (K=2) with exponential hazard function of lambda 1 = 0.5 and lambda 2 = 1.5.

How to generate the competing risk data with the simulation scheme below with R coding?

(i) with lambda 1 and lambda 2, simulate a failure time T using all cause hazards lambda 1 + lambda 2.
(ii) for determining the cause of T generated in (i), run a binomial experiment with a probability (lambda 1/ lambda 1 + lambda 2) on cause 1.
(iii) generate a right censoring time, C~Unif(c1,c2) where c1 and c2 are determined to a censoring rate.

Thanks!

statistics simulation

share|cite|improve this question

asked Mar 29 at 9:46

gilgil

1

$endgroup$

share|cite|improve this question

asked Mar 29 at 9:46

gilgil

1

share|cite|improve this question

asked Mar 29 at 9:46

gilgil

1

asked Mar 29 at 9:46

gilgil

1

asked Mar 29 at 9:46

gilgil

1