7.{Nemchinov had to ab<strong>and</strong>on his post of Director of the Timiriazev AgriculturalAcademy, to leave his chair of statistics there (Lifshitz 1967, p. 19), <strong>and</strong> to confess publiclyhis guilt (<strong>Sheynin</strong> 1998, p. 545).}8.{Soviet statistics may obviously be understood as a discipline obeying ideologicaldogmas, cf. Note 6 above. Below, the Resolution stated that statistics should be based on theMarxist dialectical method.}9.{The most influential Soviet statistical periodical, , wassuppressed in 1930 <strong>and</strong> did not reappear until 1948.}10.{Cf. Note 6.}11.{In 1950, Gnedenko published his generally known 1 (Course in the Theory of <strong>Probability</strong>; several later editions <strong>and</strong> translations). He “followedthe path suggested by Kolmogorov” (p. 47 of the edition of 1954).}12.{The periodical (Theory of probability <strong>and</strong> ItsApplications) is only being published since 1955. No Statistical Society (see below) was everestablished.}13.{Cf. Note 6.}14.{In such cases, similarity of the main conditions (of the conditions of life of the twins)is always presupposed.}ReferencesBogoliubov, A.N., Matvievskaia, G.P. (1997), 7 (Romanovsky). M.Chuprov, A.A. (1918 – 1919), Zur Theorie der Stabilität statistischer Reihen. Sk<strong>and</strong>.Aktuarietidskr., t. 1, pp. 199 – 256; t. 2, pp. 80 – 133.Kadyrov, M. (1936), 0 (Tables of R<strong>and</strong>om Numbers). Tashkent.Kolmogorov, A.N. (1938), The theory of probability <strong>and</strong> its applications. In 9 e 7 (Math. <strong>and</strong> Natural Sciences in the USSR). M., 1938, pp. 51 – 61.Translation:Lipshitz, F.D. (1967), Nemchinov as a statistician. In Nemchinov, V.S. (1967), (Sel. Works), vol. 2. M., pp. 5 – 22. (R)Romanovsky, V.I. (1923), Review of Chuprov (1918 – 1919). Vestnik Statistiki, No. 1/3, pp.255 – 260. Translated in Chuprov, A. (2004), Statistical Papers <strong>and</strong> Memorial Publications.Berlin, pp. 168 -174.--- (1924), Theory of probability <strong>and</strong> statistics. Some newest works of Western scientists.Vestnik Statistiki, No. 4/6, pp. 1 – 38; No. 7/9, pp. 5 – 34. (R)--- (1927), Theory of statistical constants. On some works of R.A. Fisher. Ibidem, No. 1, pp.224 – 266. (R)--- (1934), On the newest methods of mathematical statistics applied in fieldexperimentation. Sozialistich. Nauka i Tekhnika (Tashkent), No. 3/4, pp. 75 – 86. (R)Sarymsakov, T.A. (1955). Obituary of Romanovsky. Translated in this book.<strong>Sheynin</strong>, O. (1998), <strong>Statistics</strong> in the Soviet epoch. Jahrbücher f. Nat.-Ökon. u. <strong>Statistics</strong>, Bd.217, pp. 529 – 549.--- (1999), <strong>Statistics</strong>: definitions of. Enc. Stat. Sciences, Update volume 3. New York, pp.704 – 711.Smirnov, N.V. (1948), Mathematical statistics. In 9 7 30 (Math.in the USSR during 30 years). M. – L., 1948, pp. 728 – 738. Translation:Tippett, L.H.C. (1927), R<strong>and</strong>om sampling numbers. Tracts for Computers, No. 15.--- (1931), Methods of <strong>Statistics</strong>. London.Yates, F. (1935), Complex experiments. J. Roy. Stat. Soc. Suppl., vol. 2, pp. 181 – 247.8g. T.A. Sarymsakov. Vsevolod Ivanovich Romanovsky. An Obituary
Uspekhi Matematich. Nauk, vol. 10, No. 1 (63), pp. 79 – 88Romanovsky, the eminent mathematician of our country, Deputy of the Supreme Soviet ofthe Uzbek Soviet Socialist Republic, Stalin Prize winner, Ordinary Member of the UzbekAcademy of Sciences, Professor at the Lenin Sredneaziatsky {Central Asian} StateUniversity {SAGU}, passed away on October 6, 1954.He was born on Dec. 5, 1879, in Almaty <strong>and</strong> received his secondary education at theTashkent non-classical school {Realschule} graduating in 1900. In 1906 he graduated fromPetersburg University <strong>and</strong> was left there to prepare himself for professorship. After passinghis Master examinations in 1908, Romanovsky returned to Tashkent <strong>and</strong> became teacher ofmathematics <strong>and</strong> physics at the non-classical school. From 1911 to 1917 he was reader{Docent} <strong>and</strong> then Professor at Warsaw University. In 1912, after he defended hisdissertation On partial differential equations, the degree of Master of Mathematics wasconferred upon him. In 1916 Romanovsky completed his doctor’s thesis but its defence underwar conditions proved impossible. The degree of Doctor of Physical <strong>and</strong> MathematicalSciences was conferred upon him in 1935 without his presenting a dissertation.From the day that the SAGU was founded <strong>and</strong> until he died, Romanovsky never broke offhis connections with it remaining Professor of the physical <strong>and</strong> mathematical faculty. For 34years he presided over the chairs of general mathematics <strong>and</strong> of theory of probability <strong>and</strong>mathematical statistics; for a number of years he was also Dean of his faculty.Romanovsky was Ordinary Member of the Uzbek Academy of Sciences from the momentof its establishment in 1943, member of its presidium <strong>and</strong> chairman of the branch of physical<strong>and</strong> mathematical sciences. His teaching activities at SAGU left a considerable mark. Owingto the lack of qualified instructors in the field of mathematics, he had to read quite diversemathematical courses, especially during the initial period of the University’s existence.Romanovsky managed this duty with a great success presenting his courses on a highscientific level.Romanovsky undoubtedly deserves great praise for organizing <strong>and</strong> developing the highermathematical education in the Central Asiatic republics {of the Soviet Union} <strong>and</strong> especiallyin Uzbekistan. He performed a considerable <strong>and</strong> noble work of training <strong>and</strong> coachingscientific personnel from among the people of local nationalities.Modernity of the substance of the courses read; aspiration for coordinating the studiedproblems with the current scientific <strong>and</strong> practical needs of our socialist state, <strong>and</strong>, finally, theability to expound intelligibly involved theoretical problems, – these were the main featuresof V.I. as a teacher. Add to all this his simplicity of manner <strong>and</strong> his love for students, <strong>and</strong> youwill underst<strong>and</strong> that he could not have failed to attract attention to himself <strong>and</strong> to his subject.Indeed, more than sixty of his former students are now working in academic institutions <strong>and</strong>research establishments of our country.Romanovsky always combined teaching activities with research, considerable both in scale<strong>and</strong> importance. He published more than 160 writings on various fields of mathematics withtheir overwhelming majority belonging to the theory of probability <strong>and</strong> mathematicalstatistics. He busied himself with other branches of mathematics, mostly with differential <strong>and</strong>integral equations <strong>and</strong> some problems in algebra <strong>and</strong> number theory, either in the first periodof his scientific work (contributions on the first two topics) or in connection with studyingsome issues from probability theory <strong>and</strong> mathematical statistics.The totality of Romanovsky’s publications in probability <strong>and</strong> statistics (embracing almostall sections of mathematical statistics) unquestionably represents a considerable contributionto their development in our country. Accordingly, he became an eminent authority on thesebranches of the mathematical science not only at home, but also far beyond the boundaries ofour country.
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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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In this case, all the finite or inf
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probabilities p 1 , p 2 , … respe
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where x is determined by the inequa
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totality of the second type (§3.1.
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x = /2 + /(23) + … + /(23… p n
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that the fall of a given die on any
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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