Geodesic
Asymptotically similar criteria
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 17 (1979), pp. 3-56
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Works are discussed on testing composite statistical hypotheses with parameters by means of criteria which asymptotically preserve a constant level of significance for all values of the nuisance parameters. Criteria of the likelihood ratio, criteria based on estimates of all parameters, asymptotically similar criteria of goodness of fit, and the $C(\alpha)$-criteria of Neyman are considered in detail. 
@article{INTV_1979_17_a0,
     author = {A. V. Bernshtein},
     title = {Asymptotically similar criteria},
     journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
     pages = {3--56},
     year = {1979},
     volume = {17},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTV_1979_17_a0/}
}
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A. V. Bernshtein. Asymptotically similar criteria. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 17 (1979), pp. 3-56. http://geodesic.mathdoc.fr/item/INTV_1979_17_a0/