soxumis saxelmwifo universitetis S r o m e b i VII

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C O N T E N T SElizbar Nadaraya, Petre Babilua, Grigol Sokhadze.The estimation of a distribution function by an indirect sample ........... 12Elizbar Nadaraya, Mzia Patsatsia, Grigol Sokhadze. On theMaximum Pseudo-Likelihood Estimation of a DistributionParameters by Grouped Observations with Censoring ........................ 33Gogi Pantsulaia On a Riemann integrability of functions definedon infinite-diementional ctangles .......................................................... 44Ushangi Goginava Convergence in measure of two-dimentionalconjugate Walsh-Fejer means .............................................................. 53Ilia Tavkhelidze. About Some Geometric Characteristic of thenGeneralized Möbius Listing's surfaces GML 2 and its Connnectionswith set of Ribbon Links ....................................................................... 65Temur Chilachava, Nugzar Kereselidze. Non-preventivecontinuous linear mathematical model of information warfare ......... 91Temur Chilachava, Nugzar Kereselidze. Continuous linearmathematical model of preventive information warfare ................. 113Hamlet Meladze. On Two-layer Factorized Difference Schemesfor System of Differential Equations with Partial Derivativesof Parabolic Type ............................................................................... 142Tina Gorozia, Tinatin Davitashvili. Boundary value problemfor one class of ordinary differential equations, given on graphs ..... 155Temur Chilachava., Tsiala Dzidziguri, Leila Sulava,Maia Chkaberia. Nonlinear mathematical model of administrativepressure .............................................................................................. 1696
soxumis saxelmwifo universitetis Sromebit. VII, 2009maTematikisa da kompiuterul mecnierebaTa seriaprofesori revaz absavarevaz mixeilis Ze absava daibada 1947 wlis 9 Tebervalszugdidis raionis sofel grigoliSSi, mosamsaxurisojaxSi.7
Page 1 and 2: soxumis saxelmwifo universitetisoxu
Page 3 and 4: SOKHUMI STATE UNIVERSITYSOKHUMI STA
Page 5: s a r C e v ielizbar nadaraia, petr
Page 9 and 10: arametrul SefasebaTa kvadratuli gad
Page 11 and 12: sadisertacio sabWom erTxmad, faruli
Page 13 and 14: F xThe problem consists in estimati
Page 15 and 16: 11,x 0,1 ,1 x u KduF2x 1h h0
Page 17 and 18: Proof. We have 11h 1sup x u1 Kdu
Page 19 and 20: and, by virtue of (9),S2 n 0 as n
Page 21 and 22: 1 F2nn 1O nh uniformly with respect
Page 23 and 24: Tn2 1aang1a2ag1d2 dxN0, ,x FˆxFxu
Page 25 and 26: Analogously,1n 0 as n . (30)Now l
Page 27 and 28: (2) In the conditions of the item (
Page 29 and 30: Tndt W t a11. (39)To prove (39), i
Page 31 and 32: Let be the critical value, G .
Page 33 and 34: soxumis saxelmwifo universitetis Sr
Page 35 and 36: which we will try to overcome by as
Page 37 and 38: wheretaket u2t b a 1p ,
Page 39 and 40: Let us study the expression (6) for
Page 41 and 42: may be negative. This mayhappen in
Page 43 and 44: elizbar nadaraia, mzia facacia,grig
Page 45 and 46: applications from the view-point of
Page 47 and 48: ample, Mankiewicz generator, Baker
Page 49 and 50: ( ii ) (" x)( x О Ў Ґ \ И B Ю
Page 51 and 52: REFERENCES1. L. Kuipers and H. Nied
Page 53 and 54: soxumis saxelmwifo universitetis Sr
Page 55 and 56: Let ,...kw represent the Walsh func
Page 57 and 58:
a)measureonb) conjugate Fejйr mean
Page 59 and 60:
1 1 1K m l D m kl1l2 /212/3l2 2k2m
Page 61 and 62:
mes x y I D D x y c2 2/3,2/3m{( , )
Page 63 and 64:
REFERENCES1. A. Garsia. Topic in al
Page 65 and 66:
soxumis saxelmwifo universitetis Sr
Page 67 and 68:
- PR - is an orthogonal cylinder,
Page 69 and 70:
g( ) :[0,2h] [0,2h](4)and if h = 1
Page 71 and 72:
•nGeneralized Möbius Listing's b
Page 73 and 74:
n- n - the “Number or twisting”
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nn n Rcos sin( ) sin cos( );2
Page 77 and 78:
L( , ) = 0;M ( , ) =2N( , ) =nR
Page 79 and 80:
Definition 3. If the “B-line” i
Page 81 and 82:
T TˆTˆB,kB,k Tˆ2k1ˆ , ˆ ˆ
Page 83 and 84:
Let us consider now the general cas
Page 85 and 86:
nTheorem 2. If the GML 2 surface is
Page 87 and 88:
of the components is anGML 2 and th
Page 89 and 90:
the tangential vectors of the new o
Page 91 and 92:
Page 93 and 94:
tion of experts which can to wage i
Page 95 and 96:
considers an antagonism case as equ
Page 97 and 98:
3. Model of ignoring of an opposite
Page 99 and 100:
N20 NN2(t)=10 te +2( N N ) t 210
Page 101 and 102:
At t [ 0, ), N3(t ) , when t .
Page 103 and 104:
N220N 10+ N210 N20 t2De N10 N201t1
Page 105 and 106:
Let's really copy (3.5) - (3.7) as
Page 107 and 108:
As to the international organizatio
Page 109 and 110:
2 N0 t ln N2010 N N1020828(4.33
Page 111 and 112:
5. M. Hananashvili. Information str
Page 113 and 114:
Page 115 and 116:
Russia, though with delay, operates
Page 117 and 118:
al organizations (the United Nation
Page 119 and 120:
The third side initially does not s
Page 121 and 122:
3. D = 2 8< 0N230N3(t )=2N10 N202
Page 123 and 124:
2N10 2N30The sign N1(t)at big t def
Page 125:
1 N10 N20t = Dln N30N 10N20
Page 128 and 129:
whenceN210N 20 1e 2t- A= 0 ,e 2t =
Page 130 and 131:
As in the right part of the last pa
Page 132 and 133:
then, the antagonistic sides under
Page 134 and 135:
1
Page 136 and 137:
t0F .Thus, when,30The lemma is prov
Page 138 and 139:
As for N1(t ), N1(t ) , at t ,
Page 140 and 141:
наукових праць Інс
Page 142 and 143:
Page 144 and 145:
1. Let, D x x, x2,,x ,2. The state
Page 146 and 147:
Let h hbe the partial-time mesh o
Page 148 and 149:
148 (1)Let's notice that W 2 -- is
Page 150 and 151:
p 1By t F,where0 0B E R E , y y
Page 152 and 153:
theorem 3.1 it is easily possible t
Page 154 and 155:
hamlet melaZeorSriani faqtorizebuli
Page 156 and 157:
ods used for numerical solution of
Page 158 and 159:
u(1)x1 b2b1 x1( x1) 1 2, (7)b b b
Page 160 and 161:
x b b x b x 1 2 1 1 1 1u( x1) 1
Page 162 and 163:
( N )2 1 ( N )2 2 y 0 , z 0 , (20)(
Page 164 and 165:
21k(1) ( i)z h h f x2andx2b21 N
Page 166 and 167:
z(1) z(1)1 z(1)2b2 xb2b1 bxb(1)22b2
Page 168 and 169:
sadac − wibos sigrZea, xolo f( x
Page 170 and 171:
170 Tavisufali adamianebis raodenob
Page 172 and 173:
momentSi marTvadi adamianebis raode
Page 174 and 175:
(2.9)am SemTxvevaSi, (2.9)-is anali
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, miiswrafvis nulisken (Zlieri zewo
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da sabolood miviRebT tolobasamrigad
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180TEMUR CHILACHAVA, TSIALA DZIDZIG
Page 182 and 183:
ciala ZiZiguri - soxumis saxelmwifo
Page 184 and 185:
Jurnalis TematikaJurnali aqveynebs
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