28. Statistical experiment as a method of research. Critical essays on the Earth – Sunproblem. Zhurnal Geofiziki, vol. 5, 1935, pp. 18 – 38. (R)29. On extrapolation in connection with the problem of forecasting. Ibidem, pp. 263 – 279.(R)30. On connected r<strong>and</strong>om functions of one independent variable. ! ! 4 (Proc. First All-Union Congress Mathematicians),Kharkov, 1929. M. – L., 1936, pp. 347 – 357. (R)31. Qualche proposizione relativa alla teoria delle funzione aleatorie. GIIA, t. 8, No. 2, 1937,pp. 3 – 19.32. Sur les fonctions aléatoires presque périodiques et sur la décomposition des fonctionsaléatoires stationnaires en composantes. In Colloque consacré à la théorie des probabilités,5 ième pt. (Actualités scientifiques et industrielles No. 738). Eds, S. Bernstein, E. Slutsky, H.Steinhaus. Paris, 1938, pp. 33 – 55.33. Some propositions on the theory of r<strong>and</strong>om functions. . 5 .6. (Proc. Sredneasiatsk. State Univ.), ser. Math., No. 31. Tashkent, 1939, pp. 3 – 15. (R)Several issues collected, with separate paging, in , 30- .. 7 ! (Collection Honoring 30 Years of Romanovsky’sWork).34. . , (Sel.Works in Theory of <strong>Probability</strong> <strong>and</strong> Math. <strong>Statistics</strong>). M., 1960. Includes, among others,reprints or translations of [5; 9; 18 – 24, 26; 30; 32; 33] <strong>and</strong> a biography compiled by B.V.Gnedenko.Other AuthorsChipman, J.S. (2004), Slutsky’s praxeology <strong>and</strong> his critique of Böhm-Bawerk. StructuralChange <strong>and</strong> Econ. Dynamics, vol. 15, pp. 345 – 356.Chuprov, A.A. (1909), 8 (Essays on the Theory of<strong>Statistics</strong>). References in text from third (last) edition: M., 1959.Cournot, A.A. (1843), Exposition de la théorie des chances et des probabilités. Paris, 1984.Kaufman, A.A. (1916), (Theory <strong>and</strong> methods of statistics).M. First published in 1911. Several later editions <strong>and</strong> German translation of 1913.Kolmogorov, A.N. (1933), Grundbegriffe der Wahrscheinlichkeitsrechnung. Berlin.--- (1948, in Russian), Obituary. E.E. Slutsky. Math. Scientist, vol. 27, 2002, pp. 67 – 74.Kondratiev, N.D. (1926), The problem of forecasting. Ekonomika i Matematich. Metody, vol.24, 1988, pp. 245 – 268. (R)Leontovich, A. (1909 – 1911), 5 2 (Elementary Textbook on the Use of the Gauss <strong>and</strong> Pearson Methods), pts 1 –3.Kiev. (R)Markov, A.A. (1913), Essai d’une recherche statistique sur le texte du roman «EugèneOnegin». Izvestia Imp. Akad. Nauk, ser. 6, t. 7, No. 3, pp. 153 – 162. Additional French title.(R)--- (1924), (Calculus of <strong>Probability</strong>). M. Previous editions:1900, 1908, 1913. German translation: 1912.Schults, H. (1935), Interrelation of dem<strong>and</strong>, price <strong>and</strong> income. J. Polit. Econ., vol. 43.Seneta, E. (1992), On the history of the strong law of large numbers <strong>and</strong> Boole’s inequality.Hist. Math., vol. 19, pp. 24 – 39.--- (2001), Slutsky. In Heyde, C.C., Seneta, E., Editors, Statisticians of the Centuries. NewYork, pp. 343 – 345.<strong>Sheynin</strong>, O. (1993), Chuprov, Slutsky <strong>and</strong> Chetverikov: some comments. Hist. Math., vol.20, pp. 247 – 254.--- (1990, in Russian), Chuprov. Göttingen, 1996.
--- (1999, in Russian), Slutsky: commemorating the 50 th anniversary of his death. IMI, vol.38, pp. 128 – 137. Translated with additional material in author’s Russian papers on theHistory of probability <strong>and</strong> <strong>Statistics</strong>. Berlin, 2004, pp. 222 – 240.Smirnov, N.V. (1948), Slutsky. Izvestia AN, ser. Math., vol. 12, pp. 417 – 420. (R)8. Romanovsky. V.I. His reviews of R.A. Fisher;official attitude towards him; his obituaryVsevolod Ivanovich Romanovsky (1879 – 1954) was an outst<strong>and</strong>ing mathematician <strong>and</strong>statistician. He also originated statistical studies in Tashkent <strong>and</strong> might certainly be alsoremembered as an educationalist. Bogoliubov & Matvievskaia (1997) described his life <strong>and</strong>work but have not dwelt sufficiently on his ties with Western scientists (or on the ensuingcriticism doubtless arranged from above), <strong>and</strong> this is what I am dealing with by translatinghis reviews of Fisher’s books, pertinent materials of a Soviet statistical conference of 1948 1(fragments of one report <strong>and</strong> the resolution) <strong>and</strong> a publisher’s preface to the Russiantranslation of Fisher’s Statistical Methods… My manuscript “Romanovsky’s correspondencewith Pearson <strong>and</strong> Fisher” intended for the forthcoming volume commemorating A.P.Youshkevich, will make public eight of his letters to Pearson (1924 – 1925) <strong>and</strong> 23 lettersexchanged in 1929 – 1938 between him <strong>and</strong> Fisher 2 .Some of Romanovsky’s writings (1924; 1934) not translated below also bear on mysubject. In the first of them, he (pt. 1, p. 12) called Pearson “our celebrated contemporary”,<strong>and</strong>, in the second part, discussed the latter’s work. Lenin had severely criticized Pearson’sideology (<strong>Sheynin</strong> 1998, p. 530), <strong>and</strong>, beginning with ca. 1926, Soviet statisticians had beenrejecting Pearson’s work out of h<strong>and</strong> 3 . In the second writing, Romanovsky discussed thework of Fisher. He argued that it should be developed <strong>and</strong> propag<strong>and</strong>ized (p. 83), thatFisher’s Statistical Methods …was almost exclusively “prescriptive”, which “distressed”those readers, who wished to study the described issues deeper, but that that book ought to betranslated into Russian (p. 84). He also noted that Fisher’s methods were unknown to Russianstatisticians <strong>and</strong> put forward recommendations concerning the teaching of statistics. Inparticular, Romanovsky (p. 86) advised the introduction of optional studies of statisticalapplications to genetics; cf. the Resolution of the Soviet conference below!Notes1. The criticism levelled there against Romanovsky was comparatively mild, no doubtbecause the participants simply obeyed ideological orders. Nevertheless, it led to a furtherattack against him, see my introductory remarks to the translation of Sarymsakov (1955)below. A highly ranked geodesist noted mistakes in Romanovsky’s treatise on the theory oferrors <strong>and</strong> supported his remarks by stupid ideological accusations. He even alleged thatRomanovsky’s expression “probability … is described by the law …” was unacceptablebecause Marx had declared that the world needed change rather than description.2. In one of his letters to Fisher written in Paris in 1929, Romanovsky called the Sovietpolitical police “the most dreadful <strong>and</strong> mighty organization”.3. Even Fisher became suspect. Here is an editorial note to Romanovsky’s paper (1927, p.224): “The editorial staff does not share either the main suppositions of Fisher, who belongsto the Anglo – American empiricists’ school, or Romanovsky’s attitude to Fisher’sconstructions …”8a.V.I. Romanovsky.Review of R.A. Fisher “Statistical Methods for Research Workers“. London, 1934Sozialistich. Rekonstruksia i Nauka, No. 9, 1935, pp. 123 – 127
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of All Countries and to the Entire
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(Coll. Works), vol. 4. N.p., 1964,
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individuals of the third class, the
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From the theoretical point of view
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Second case: Each crossing can repr
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On the other hand, for four classes
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f i = i S + i , i = 1, 2, 3, 4, (
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f 1 = C 1 P(f 1 ; …; f n+1 ), C 1
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ut in this case f = 2 , f 1 = 2 ,
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I also note the essential differenc
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A 1 23n1 + 1 A 1 A 1 … A 11A 2 A
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coefficient of 2 in the right side
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h(A r h - c h A r 0 ) = - A r0we tr
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Notes1. Our formulas obviously pres
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Bernstein’s standpoint regarding
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Corollary 1.8. A true proposition c
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It is important to indicate that al
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ut for the simultaneous realization
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devoid of quadratic divisors and re
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propositions (B i and C j ) can be
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A ~ A 1 and B = B 1 , we will have
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included in a given totality as equ
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For unconnected totalities we would
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proposition given that a second one
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On the other hand, let x be a parti
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totality is perfect, but that the j
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It follows that the question about
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then expressed my doubts). And Gned
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For Problem 1, formula (7) shows th
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Let us calculate now, by means of f
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ϕ′1(x)1E(a|x 1 ; x 2 ; …; x n
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Theorem 3. If the prior density 3
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P( ≤ ≤ |, 1 , 2 , …, s )
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6. A Sensible Choice of Confidence
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0 = A 0 n, = B2, = B2, 0 = C 0 n
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Note also that (95),(96), (83),(85)
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Γ(n / 2)Γ [( n −1) / 2]k = (1/2
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f (x 1 , x 2 , …, x n ) = 1 if x
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and the probability of achieving no
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E = kEµ. (14)In many particular ca
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a = np, b = np 2 = a 2 /n, = a/nand
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with number (2k - 2), we commit an
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(67)which is suitable even without
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" = 1/[1 - e - ], = - ln [1 - (1/
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Such structures are entirely approp
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11. As a result of its historical d
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exaggeration towards a total denial