Tsu-2011 - ieeetsu

P{ 2} P{ 0} P{ 2} 0.1 0.4 0.2 0.7 .
garda amisa, P { 3} P{
1}
0. 3. amitom g( )
SemTxveviTi sididis
ganawilebis kanons aqvs saxe:
0 3
0.7 0.3
garda amisa, E 00.7 30.3 0.9 .
axla gamovTvaloT g( )
SemTxveviTi sididis maTematikuri lodini.
gveqneba:
E g( 2) 0.1 g( 1) 0.3 g(0) 0.4 g(2) 0.2
00.1 30.3 00.4 00.2 0.9 .
magaliTi 13. gamovTvaloT puasonis ganawilebis maTematikuri lodini.
m
x x
Tu visargeblebT warmodgeniT e , maSin gveqneba:
m0 m!
k k k1
EX k e e k e e e .
k0 k! k1 k! k1
( k 1)!
e. i. puasonis ganawilebis parametri warmoadgens am ganawilebis
maTematikur lodins (saSualo mniSvnelobas).
magaliTi 14. davuSvaT, rom elementarul xdomilebaTa sivrce Sedgeba
sami tolalbaTuri elementaruli xdomilebisagan { 1 , 2, 3}
,
P( 1 ) P( 2 ) P( 3
) 1/3. ganvmartoT da SemTxveviTi sidideebi Semdegnairad:
( 1 ) 1, ( 2 ) 0, ( 3) 1;
( 1 ) 1, ( 2) 0, ( 3) 1.
1 1 1
maSin gasagebia, rom , E( ) E
1 0 ( 1) 0. Sesabamisad,
E( )
E E
. meores mxriv,
3 3 3
P{ 0} P{ 0} P{ 0, 0} P( 2) 1/3,
maSin rodesac da SemTxveviTi sidideebi rom iyvnen damoukideblebi
{ 0, 0} xdomilebis albaToba unda yofiliyo 1 1 1 .
3 3 9
magaliTi 15. SemTxveviTi sididis ganawilebis kanonia
x
i
-1 0 1 2 3
p 0.1 0.15 0.3 0.25 0.2
i
gamovTvaloT misi dispersia.
vinaidan dispersiis gamosaTvlelad gvaqvs ori gansxvavebuli formula,
Sesabamisad, gveqneba dispersiis gamoTvlis ori xerxi. moxerxebulia
es gamoTvlebi Caiweros cxrilebis saxiT.
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