On an approximate procedure while fitting the observations with unknown weights
Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part I, Tome 74 (1977), pp. 139-144
O. V. Shalaevskii. On an approximate procedure while fitting the observations with unknown weights. Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part I, Tome 74 (1977), pp. 139-144. http://geodesic.mathdoc.fr/item/ZNSL_1977_74_a5/
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     author = {O. V. Shalaevskii},
     title = {On an approximate procedure while fitting the observations with unknown weights},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {139--144},
     year = {1977},
     volume = {74},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_74_a5/}
}
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The question is solving on prefering one of the two basic asymptotic formulae, derived in author's earlier work “Ihe fitting of observations with unknown weights by least squares' method”, Proc. of Stecklov Inst. of Math. of the Acad. of Sci. of USSR, v. 104 (1968), p. 189–214.