7. Probability and Statistics Soviet Essays - Sheynin, Oscar

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Obukhov, A.M. 1. Normal correlation of vectors. IAN 1938, 339 – 370.2. Theory of correlation of vectors. Uch. Zap. MGU 45, 1940, 73 – 92.3. On dissipation of sound in a turbulent current. DAN 30, 1941, 611 – 614.4. On distribution of energy in a spectrum of a turbulent current. DAN 32, 1941, 22 – 24.5. +0 . . (Application of Methods of StatisticalDescription of Continuous Fields to the Theory of Atmospheric Turbulence).M., 1947. A thesis.Ogorodnikov, K.F. 1. Sur le théorème limite de théorie des erreursd’observation. IAN, ser. Fiz.-Math., 1931, 1 – 21.Omshansky, M.A. 1. On the variance of the singularities of a randomseries without dependences. Trudy Glavn. Geofizich. Observatorii 10, 1936,112 – 116.Pankin, A.V. 1. Application of the theory of random errors to the treatmentof time-studies. Vestnik Metallopromyshlennosti 5, 1931, 69 – 78.Parfentiev, N.N. 1. Application of the theory of probability for obtaining aprecise comparative estimate of observed phenomena when the scale formeasuring is lacking. Izvestia Kazan Fiz.-Matematich. Obshchestvo (2), 23,1923, 21 – 23.2. La déduction asymptotique de la loi de Bernoulli dans la théorie desprobabilités. Uch. Zap. Kazan Univ. 87, 1927, 90 – 91.Persidsky, K.P. 1. On Markov’s theorem. Izvestia Kazan Fiz.-Matematich.Obshchestvo 4, 1929 – 1930, 37 – 40.2. On the main theorem of the theory of probability. IAN, ser. Fiz.-Mat.,1932, 639 – 656.3. On a theorem of the theory of probability. Uch. Zap. Kazan Univ.,Math., 4:1, 1932, 37 – 42.4. On limit theorems. Ibidem, 43 – 48.5. A few remarks on the law of large numbers. Ibidem, 49 – 54.6. On the law of large numbers. DAN 18, 1938, 81 – 84.Petrenko, A.I. 1. On checking the solution of normal equations. Nauchn.Zapiski Voronezh Selskokhoziastven Inst. 3 (18), 1936, 139 – 149.Petrovsky, I.G. 1. Über das Irrfahrtproblem. Math. Ann. 109, 1934,425 – 444.2. Zur ersten Randwertaufgabe der Wärmeleitungsgleichung. Comp.Math. 1, 1935, 383 – 419.Plesner, A.I. 1. Über das Gesetz der großen Zahlen. MS 1 (43), 1936,165 – 168.Pomerantseva-Iliinskaia, E.N. 1. On estimating the error of the meanhaving a small number of observations. Zhurnal Geofiziki 6:1 (19), 1936, 34– 49.Popov, V.S. 1. On determining a straight line given the measuredcoordinates of its points. Zapiski Belorussk. AN 2, 1930, 79 – 80.Raikov, D.A. 1. On the decomposition of the Poisson law. DAN 14, 1937,9 – 12.2. On the decomposition of the Poisson and Gauss laws. IAN 1938,91 – 124.3. On the connection between the central limit theorem and the law oflarge numbers. Ibidem, 323 – 338.4. A theorem from the theory of analytic characteristic functions. IzvestiaNI IMM Tomsk Univ. 2:2, 1938, 8 – 11.5. On the arranging of analytic distribution functions. DAN 23, 1939,
511 – 514.Romanov, N.A. 1. On the possibility of a connection between the theory ofprobability and the Pavlov doctrine of conditioned reflexes. DAN 1, 1935,193 – 201.Romanovsky, V.I. 1. Statistical Weltanschauung. Voenn. Mysl 1, 1921, 59– 76.2. On the correlation ratio. VS 9 – 12, 1922, 29 – 33.3. On the probabilities of connected indications and on their application instatistics. Ibidem, 34 – 41.4. On a generalization of the Markov inequality. Bull. SAGU 8, 1925,107 – 111.5. On the distribution of sums of normally distributed variables. Ibidem,9, 1925, 89 – 94.6. A new proof of the Poisson theorem. Ibidem, 95 – 101.7. On statistical tests of the given individual belonging to some of closespecies. Trudy Turkestan Nauchn. Obshchestvo SAGU 2, 1925, 173 – 184.8. Sur la distribution des écarts quadratiques moyens dans les observations sur lesquantités à distribution normale. C.r. 180, 1925, 1320 – 1323.9. Généralisations d’un inégalité de Markoff. Ibidem, 1468 – 1470.10. Sur certaines espérances mathématiques et sur l’erreur moyenne du coefficient decorrélation. Ibidem, 1897 – 1899.11. On the distribution of the regression coefficient in samples from normal populations.IAN, 20, 1926, 643 – 648.12. On the distribution of the arithmetic mean in series of independent trials. Ibidem, 1087– 1106.13. On the moments of standard deviations and correlation coefficient in samples from anormal population. Metron 5, 1926, 3 – 46.14. A brief proof of the Pearson formula for the moments of the hypergeometric series.Bull. SAGU 12, 1926, 127 – 129.15. On the central moments of two normally distributed random variables. Ibidem 15,1927, 307 – 312.16. On a problem due to Fisher. Ibidem, 313 – 317.17. 1 ) (Elements of the Correlation Theory). Tashkent, 1928.Second edition.18. On statistical tests of belonging to a group. DAN, A, 1928, 347 – 352.19. On the criteria that two given samples belong to the same normal population. Metron 7,1928, 3 – 46.20. Sur la généralisation des courbes de Pearson. Atti del Congr. Intern. dei Matem.Bologna 1928. Bologna, 1932, t. 6, 107 – 110.21. On the moments of means of functions of one and more random variables. Metron 8,1929, 251 – 290.22. Sur la loi de probabilité de frequences assujetties aux conditions linéares et le criterium 2 de Pearson. DAN (A), No. 4 1929, 63 – 105.23. Sur les chaînes de Markoff. Ibidem, No. 9, 203 – 208.24. Sur une extension du théorème de Liapunoff sur la limite de probabilité. IAN, fiz.-mat.,1929, 209 – 225.25. Sur un théorème limite du calcul des probabilités. MS 36, 1929, 36 – 64.26. Sur les probabilités à posteriori. C.r. 189, 1929, 515 – 517.27. Sur les chaînes biconnexes continues de Markoff. Ibidem 190, 1930, 695 – 697.28. Sur les chaînes discrètes de Markoff. Ibidem 191, 1930, 450 – 452.29. Sur les zéros de matrices stochastiques. Ibidem 192, 1931, 266 – 269.
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[3] I bear in mind the well-known p
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successes of physical statistics. B
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classes of independent facts whose
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distribution is a corollary of the
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examine in the first place the curv
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12. According to Bortkiewicz’ ter
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generality, the similarities taking
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one on another, as well as the corr
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is inapplicable because the right s
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Instead, Slutsky introduced new not
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abandoned in August 1936, but it is
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last decades, mathematicians more o
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charged with making the leading ple
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motion and a number of others) are
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phenomena. It is self-evident that
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Such new demands were formulated in
Page 36 and 37: The addition of independent random
Page 38 and 39: automatic lathes, etc. Here, the ma
Page 40 and 41: 11. Kolmogorov, A.N. Grundbegriffe
Page 42 and 43: period 1 and remained, until the ap
Page 44 and 45: of the analytical tool rather than
Page 46 and 47: with probability approaching unity,
Page 48 and 49: logic. The ensuing vagueness in his
Page 50 and 51: 2. Gnedenko, B.V. (1949), On Lobach
Page 52 and 53: will be sufficient, although not ne
Page 54 and 55: nlimk = 1P(| k (n) - m k (n) | > H
Page 56 and 57: favorite classical issue as the gam
Page 58 and 59: and some quite definite (not depend
Page 60 and 61: influenced by a construction that a
Page 62 and 63: P ij (1) = p ij (1) , P ij (t) =kP
Page 64 and 65: 4.2d. Bebutov [1; 2] as well as Kry
Page 66 and 67: are yet no limit theorems correspon
Page 68 and 69: described, from the viewpoint that
Page 70 and 71: conditional variance and determined
Page 72 and 73: Romanovsky [45] and Kolmogorov [46]
Page 74 and 75: Let S be the general population wit
Page 76 and 77: Part 1. Russian/Soviet AuthorsAmbar
Page 78 and 79: 2. On necessary and sufficient cond
Page 80 and 81: Gnedenko, B.V., Groshev, A.V. 1. On
Page 82 and 83: 52. ( (Mathematical Principl
Page 84 and 85: Kozuliaev, P.A. 1. Sur la répartit
Page 88 and 89: 30. Généralisations d’un théor
Page 90 and 91: 22. Alcune applicazioni dei coeffic
Page 92 and 93: 10. A.N. Kolmogorov. The Theory of
Page 94 and 95: Kuznetsov, Stratonovich & Tikhonov
Page 96 and 97: In the homogeneous case H s t = H t
Page 98 and 99: to such a generalization. He only s
Page 100 and 101: In the particular case of a charact
Page 102 and 103: as it is usual for the modern theor
Page 104 and 105: 1. {The second reference to Pugache
Page 106 and 107: Smirnov, Romanovsky and others made
Page 108 and 109: determined the precise asymptotic c
Page 110 and 111: for finite values of N, M and R 2 .
Page 112 and 113: Mikhalevich’s findings by far exc
Page 114 and 115: Uch. Zap. = Uchenye ZapiskiUkr = Uk
Page 116 and 117: Khinchin, A.Ya. 43. Math. Ann. 101,
Page 118 and 119: 7. DAN 115, 1957, 49 - 52.Pinsker,
Page 120 and 121: Anderson, T.W., Darling, D.A. (1952
Page 122 and 123: Statistical problems in radio engin
Page 124 and 125: observations for its power with reg
Page 126 and 127: securing against mistakes (A.N. Kry
Page 128 and 129: of the others, then its distributio
Page 130 and 131: In Kiev, in the 1930s, N.M. Krylov
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7. Probability and Statistics Soviet Essays - Sheynin, Oscar

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