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Applied and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments.
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Finding a distribution family that is preserved under mixture.
Below I propose a solution to the difference equation
$$ f_{t+1}(z) =p_{12} f_t(z/A) + p_{21}f_t(z/B) + p_{22} f_t(z/(A+B)),$$
where the $p_{ij}$'s are positive, $$p_{12}+p_{21}+p_{22}\le 1$$ and $f …