I have the following problem. You apply for jobs and know that if you send your application then every job appointment procedure has two stages: You can be either invited or not invited ...
I've come across Bartlett's "paradox" (not to be confused with Lindley's paradox, also known as the Lindley-Bartlett paradox) in Bayesian statistics. The paradox originates from Bartlett's 1957 paper, ...
The "normal" definition of a sufficient statistics is via independence of the pdf (conditional on the statistic) of the parameter $\theta$. The Fisher-Neyman theorem gives a nice characterization: ...