Geodesic
Ranking and selection of populations based on sample means
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 24, Tome 454 (2016), pp. 238-253

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A number of directions is indicated in which, for statistical problems of decision making related to ordering the parameters of distributions, it is expedient to lean on comparison of sample means. It is assumed that the corresponding parametric family has no nontrivial sufficient statistics. The key role is played by establishing conditions under which the reliability of inferences increases monotonically with the size of the sampling. Examples of applications are given. 
@article{ZNSL_2016_454_a14,
     author = {M. I. Revyakov},
     title = {Ranking and selection of populations based on sample means},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {238--253},
     publisher = {mathdoc},
     volume = {454},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_454_a14/}
}
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M. I. Revyakov. Ranking and selection of populations based on sample means. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 24, Tome 454 (2016), pp. 238-253. http://geodesic.mathdoc.fr/item/ZNSL_2016_454_a14/