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  • $\begingroup$ Please check your post for typos, because your final expression simplifies to $\sum E[Y_i],$ which seems unlikely--but the paper is behind a paywall and cannot be consulted by most people to check what you really mean. $\endgroup$ Commented Apr 8 at 14:23
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    $\begingroup$ @whuber Thanks for the hint! I have changed the link for the paper. $\endgroup$ Commented Apr 8 at 14:29