[R] Survreg function for loglogistic hazard estimation
    Terry Therneau 
    therneau at mayo.edu
       
    Mon Jun  8 15:55:25 CEST 2009
    
    
  
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I am trying to use R to do loglogistic hazard estimation.  My plan is to
generate a loglogistic hazard sample data and then use survreg to estimate
it.  If everything is correct, survreg should return the parameters I have
used to generate the sample data.  
I have written the following code to do a time invariant hazard estimation. 
The output of summary(modloglog) shows the factor loading of dfico is -0.002
instead of 0.005.  Also I can not find the survreg's output of alpha and
beta of loglogistic regression.  Any comments?  Thanks a lot, 
...
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 The survreg function uses the location-scale parameterizations found in 
Kalbfleisch and Prentice's book "The statistical analysis of failure time data". 
 Looking at your code, you are using something different
 
  You     K&P
  1/a     lambda
  b       gamma
  
And from K&P: lambda = exp(-alpha), gamma= 1/sigma, where
               alpha = linear predictor from the fit
	       sigma = scale factor from the fit
I would suggest checking out a copy of the book to verify the above.	       
	       
 Second, your method of constructing a random time from the distribution is a 
mystery to me.  I believe your code is equivalent to
      y <- min(which(runif(n) < constant))
for any given y (with changing values of the constant).
This is a value from the geometic distribution.  
Terry Therneau
    
    
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