Geodesic
Lower bounds for the expected sample size in the classical and $d$-posterior statistical problems
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 160 (2018) no. 2, pp. 309-316

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In this report, the problem of construction of lower boundaries for the expected sample size of statistical inference procedures has been considered. The general methodology for construction of the lower bounds and the review of the main results for the classical statistical problems have been presented along with the analysis of the new and earlier results on adoption of the technique to the $d$-posterior approach. Namely, the hypothesis testing problem has been considered.
Keywords: expected sample size, lower bounds, efficiency, $d$-posterior approach, Bayesian paradigm, hypothesis testing. 
@article{UZKU_2018_160_2_a11,
     author = {I. A. Kareev and I. N. Volodin},
     title = {Lower bounds for the expected sample size in the classical and $d$-posterior statistical problems},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {309--316},
     publisher = {mathdoc},
     volume = {160},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2018_160_2_a11/}
}
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I. A. Kareev; I. N. Volodin. Lower bounds for the expected sample size in the classical and $d$-posterior statistical problems. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 160 (2018) no. 2, pp. 309-316. http://geodesic.mathdoc.fr/item/UZKU_2018_160_2_a11/