Thanks to Kit Baum, a new package called -rrlogit- is 
available from SSC.
-rrlogit- fits a maximum-likelihood logistic regression 
for randomized response data (RRT). The estimator is 
described in Maddala (1983:54-56).
To install the package, type
 . ssc install rrlogit
in Stata. Then type
 . help rrlogit
and
 . help rrlogit postestimation 
Peace,
ben
Maddala, G. S. (1983). Limited Dependent and Qualitative 
    Variables in Econometrics. Cambridge: Cambridge 
    University Press.
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