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The process of censoring yields data w/ only partial information. The most common example of censoring is *right censoring* in survival analysis, where the time until the event occurred is only known to be longer than some duration because the event had not occurred when the study ended.
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Simple case of MNAR missing data
Edit: it's a case of left-censoring with Binomial data.
How can I estimate $p$?
I'm also interested in finding a confidence interval for $p$.
References and links are much appreciated. …