SCIENTIFIC ABSTRACT GIKASHVILI, K. - GILBERT, E.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000515020017-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 17, 2002
• Sequence Number: 17
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

1. GIUSHVILI, X.G.
2. USSR (600)
7. *Coneemiag Study of Diseaps of the Sweet Orange in the Georgian SSR",
Trudy In-ta. Zaahchity Rasteniy AN Gruz. SSR (Works of the Institute of
Plant Protedtion, Acad Sol Georgian 39R), Vol 7, 1950, pp 67-77.
9. MrobiologjY4, Vol XXI, Issue 1, Moscow, Jan-Feb 1952, pp 121-m132. Unclassified.

UNCRAVXW. L.A., KIPIANI, R.Ya; GIXAMILI, I.G.
Tagged atom method of investigating the relationship between
the incittaut a tracheiphila) of ml secco aad the host
(Phom
plant. Soob. AN Gruz.SSR 16 z0#7049-556 155. (MMk 9:2)
I.Day*tyltel'Vy chlon Ak&demii nauk Grusiaskoy SSR (for Kea-
chavell).2.Akademiya. wokGrusiuskoy SSR, Institut sashchity
rastealy, Tbilisi.
(RrAioactive tracers) (LexonDiveaces and posts)

Authcr
J-_r~ ~(IC r..i' L,',,
Titl,-
v,-t., 1957

U"SR Fari-a Inimals. Poultry.
.~bs Jour: Rof Zhur--Biol., No 23, 1956, 10)'750.
i~uthor Mobako, Yc;. 1'. , )or-olvadm),
T. 1.
Inst G~,orgian Scicsntlfic Rasoarch Institutc of
,tunimal Husbandry and Vaturinary EAcdicin,.
Title Davalomi -nt of High Froducing Poultry Raising
in tho G,~orgian S132.
Q-4
Crig Pub: Byul. nauchno-tikhn. inform. Gruz. n.-i. in-ta
zhivotnovodstva i vot., 1957, No 2, 7-9.
Abstract: No abstract.

KHOTrANOVICES S.I,,- GIKENEv LIU.
Obtaining eleotrophotographic images in liquid developers. Zhur.
naucb.i prikl.fot.i kin. 7 no,,1:30-35 va-F 162. (MIRA 15:3)
1. Nbuckwo-isoledovatellskiy institut elektrografii, VilIWS*
lerogro#y)

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GIKHW, I.I.
-11. 1. 111. ~. " - ... 1!
Certain differential equations with random functions. Ukr.mat.zhur.
2 no-3:45-69 150. NLU 7:10)
(Probabilities) (Differential equations)

GMMAN, 1. 1.
-
Thsor7 of differential equation of stochastic processes. Ukr.mat.
sbnr. 2 to.4%37-63 '50. (KLHA 7:10)
(Differsatial equations) (Probabilities)

GIKHMkN, 1. 1.
Jul/Sep 51
USSR/Matheltatics - Stochastics
"Theor;t of the Differential Equations of Chance Processes. Part II," I. I.
Gikhman, Kiev
Ukrain Mat Zhur, Vol 3, No 3, PP 317-339
A direct continuation of Part I (ibid. Vol 2, No 4, 1950). Studies the depend-
ence of the solos of differental stochastic eqs on initial data; finds the
first and second variations of the soln of a differental stochastic eq
which corresponds to a variation in the initial data; and them establishes a
theorem concerning the twice differentiability, with respect to initial data,
of the mean f[Xt(V-,t)j of the arbitrary function f(x). Next applies the
obtained results to continuous VArkov processes, the problem being the
derivation of the eq of A.N.Kolmogorov for Markov processes. States that
the soln of this problem is at the same time a demonstration of the exis-
tence of MarXov processes which correspond to the given Kolmogorov eq. Recei-
ved 15, Feb 51.
250T43

i4
~jl
L

jiJ

GIKFIKAN, 1. 1.
An aoyvptotic theorem for a sum of random variables. Trudy
Inst.mat.i makh. All U-,.SSR no.10 --A-1:36-43 '52.
(Probabilities) (KI& 8:9)

0.
1
~4
1;4
tMM*Wtb,em&tIr_9 - Frobabdllt7 1 AW6 53
uCerta-'n Remarks on A. N. Kolmogorov's Critericm
of Agr;ement," 1. 1. Gikhmn
DM SSSR, Vol 91, No 4, PP T15-718
Acknowledges that the problem of generalizing
Kolmogorov's criterion of agreement by adding &
parameter theta %me posed by Prof B. V. Ovedaidw
In ti2e statistics seminar, directed by Gned 2
at JMev State Univ. States that this criterlon,
namely I IpNffl I IFN (x)-F(x)l, proposed by '
Kolnogorvine'oGiorn. d. Att. 4(1933), evalmtes
272265
the divergence between a) the proposed ("theoret.
ical") distribution function F(x) and b) the
empirical data, and is universal in the sense
that the distribution law for the quantity
is not dependent on the continuous function%
F(x). Here N is the number of independent mea-
surements of a chance quantity, and F (x) is tba
empirical distribution function consXcted an
a result of these measurements. Cites the dis-
tribution tables of F (~c) for finite N by F.
Mamsey (Ann Math Statfstics, 21, No 1 (1951))
and Z. W. Birnbaum (J Am Stat Assoc. 47, No 259
(1952)). Presented by Acad A. N. Kolmogorov
29 My 53.
272T65

T. T.
rI
C)
voihman L 1. Some limit theorems for conditional dW
Ong, Dolklady Mail. MIA S.SSH MS.) 91, 1003 -
1006 (1953). (Rvissian) CAk .!Yj
Let tit , -1 t". - be independent, Identically distributed
randorn variables with Aftk~, 0. MY - (r,' , < j.- and supprisc
that tile Common distrihill i( III vit I kci I'as a OvIvot y flinct ion
f bounded variation or is (if flio I~itticv I ype. Lef
o
Ilk 1111110,':l ';, 71k,
v.-no. of positive terins in I < h 61~ k not d0fined
but is presumably 0.) If n- flicii I hi- liniii. condi-
tionaldistributioll of Ws!)I, that of AP(n)l
and that of v.lii, all three under 1he,--findition tivit
are given. The last is imiform. Tho mi-Ond it,~Cd i4 that of
reduction to partial differimitial u(ju.i6ow; wi(h the h0p of
tipper and lower functions ~i, !-vt foidi io K'li jOitoune's
"Asymptotische Gie,,zetze (let- W " I
[Springer, Berlin, 1933]. No dt-1,61s; i,mnc tofvrvnci.~, to Ow
literature seem inisplaued. A'. L C?.,i!!.:.

.; ! f I I I ~ ! *
GMWWO, B.V. 0 GIMAN, I. I.
~14 4 "1 IIU kQ -
Development of the theory of probabilities in the Ukraine. Pratel,
rriv,un-209-94 154. (KMA 10: 1)
(Ukraine--.Probabilities--Stiidy and teaching)

GIEWN, I. I.
Markov processes in mathematical-statistics problems. Ukr.mat.shur.
6 nosl:28-36, 154. (MIRA 9:1)
(Probabilities) (Mathematical statistics)

G I K~LMA I i ,lo.-Jf UlAch.
Kiev OtatAt U imeni Shovchenko, Academic degree of Doctor
of PNIsico-Mathematical Sciences, based on his defense,
2 hover~ter 1955. In the Joint Council of the Institutes
of Katht-tw tics, Physics and Metal-Physics, Acad Sci UkSSR,
of his ('1.4.sertation entitled; "The processes of Yarkov
ay)d sox.- problems of mathenatical statistics."
AcadarLic degree and/or title: Doctor of 3ciences
SO: T)~--cllsions of VAK, List no. 5, 3 Mar 56, Byul-leten'
YVO 3';za, No. 2. Jon 57, Foscow, PP 17-20, Uncl. JPRS/NY-466

SUBJECT USSR/lUTHEVATICS/Hintory of mathematics CARD 1/1 PG - 635
AUTHOR GNEDEENKO B.7., GICHMAN I.I.
TITLE The development of the theory of probability in the Ucraine.
MIODICAL Istoriko-mat. Issledovanija 2j- 477-536 (1956)
reviewed 3/1957
This report reaches from the beginning, beginning with A.F.Pawlovskij (1821)9
Meg. Waldinko-Zachardenko (1863) until the present time. The more the
development advances the more difficult it is to represent it in its limitation
to the Ucraine. Thus partially the progresses of probability theory in the
whole Russia are considered. To the period of the beginning there belong,
beside of the above mentioned acientlets,also W.F.Ermarkov and N.A.Tiohoman-
drizkii, The "classical period" begine with the papers of P.L.6ebylev and
A.A.Markov, Then a leas well-known paper due to I.W.Sleginskij is reviewed
in which in connection with the error theory already the cosine transformation
of a straight density of distribution Is used. After a short acknowledgement
of the work of A,.M.Liapunov this part of the report especially treats the
papers of S*X.Bern9tejn. Finally the author reviews on papers of E.E.Sluzkij.
The last part describes the development since 1930. The literature restricts
to Ucrainian papers only.

AIUThQi(: Uiithman, I.l.. 52-3-b/9
TITD~: A Non-parametrical Criterion for the Homogeneity of
1i Clioices. (0b odnom neparannetricheskori xriteril
oanoroanosti k vyborok.)
F.&H10DICAL: Teoriya Veroyatnoste~ i Yeve Pr'ineneniya, 190, Vol.11,
Vr.3. pp. 360-364. (USER)
ABSTRACT: In the present note is investigated a generalization of
the well-known non-parametrical crit.--rion of' Smirnov, for
the homogeneity of two choices to the case of any number
of choices. Let there be k groups of independent
variables in a set of measur~7ments with nxabers
nj,tnj,u,,;n, nk, each having the same continuous
d s r b ti function Fi(x), (i =1, 2, ..., k) in each
group. The problem consists in verifying the hypothesis;
Fl(x) = F2(x) = ... = Fk(x) = F(x).
Card 1/1 There is 1 Slavic reference.
AVAILABLE: Library of Congress.

GMWAN, Y.I. [HikhMM, I.I.]
Some boun&ary theorems for a number of Intersections of the
boundary of a given region by a random function. Nauk. zap. Eylv.
un. 16 no.16.-149-164 '57. (MIRA 13:3)
(Distribution (Probability theory))

/'I , -~ I N 1, 1i
30850
lb, ~j OU 3/044/61/000/008/026/039
C111/C333
AUTHOR: HAhman, Y, J
TITLE- The asymptotic distribution of the number of sections of
the boundary of a given domain by the selection function
PERIODICALs Reforativnyy zhurnal, Matematika, no, 9, 1961, 7,
abstract BV35T'Vianyk Kyivslk, un-tu, 1918, no. 1, Ser.
aotron., matem. ta mekhan," vyp 1. 25--46)
TEXT. Formorlj the author proved: If %,k is a serieij of
variables forming a Markov chain for every n, if G is a domain with
smooth boundary, and V the number of sections of the boundary of G
by the sequence nthen the distribution function of Vn (for
~ n, k' Ito'
sufficiently fast convergence of the %,k to a diffusion process x t)
tends to a certain boundary value, the Laplace transform of which
is determinod from a certain integral equation In the article the
fulfillment of' the convergence conditions is examined in a number of
examples, The author considers the case ~ n,k - Xk/n' where x t is a
diffusion process with the infinitesimal operator
Card 1/Z

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