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- - - - - - - - . /

/. % .

579.0 2 / 1

2 / 1

22 2

2 / 1

7 369

69.1 520.0 50.0 59.0 12

)33.7,76.6( : ) ()69.1( 7 :5.09

33.7 76.6 ) ()69.1( 7 ) ()69.1( 75.0 5.09 9

46.0 69.1 5.03

63.51 )29.3( )69.1 (5.052.0

Xxin

Z Z

Z en

Z ne

= = =

= = = = =

< < + < <

= = =

= = = =

61


(:)

03


:

03


:

(22/21) ( -1) 2n 1n

22 21 :

2 2 21 1 1

2 2 21 2 2 / 12 2 1 2 / 1 2

2 21 22 22 1

1 2 1 2 /

2

))1 ,1 ( )1 ,1 ( (2 1 2 /

)1 ,1 ( 1)1 ,1 (

1

n n f S Sn n f S

FSS

F n n f P

S

n n f

= = < <

< <

2/ 2/

-1


( 2/1) ( 22/21) % :

63=21S 61=2n 9=1n 52=22S

99.0 99.02 2 2

1 1 12 2 21 2 2 / 1

2 2 2 1 2 / 1 22122

2122

2122

99.0 2 / 1, 20.0 89.0 125.5 )8,51( , 4 )51,8(

)1 ,1 ( 1)1 ,1 (

25.5 63 1 6352 4 52

95.7 63.0

18.2 6.0

f f

n n f S S S n n f S

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< <

=> <


.

.

.


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= P( 0H | 1H)P =( 0HA| 1H)

.

. .


.

.

.

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. % :

X B

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????? )7.0 | 5.51 ( ) | (x

x b p X P H HR P

p X P H HA P

== = = > = == > < = =


( 1H :p= /)

:

:

51

1 00

4073.0 )8.0,02; ( )8.0 | 5.51 ( ) | (x

x b p X P H HA P=

= = = < = =

02

0 051

41

1 00

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8591.0 )8.0,02; ( )8.0 | 5.41 ( ) | (

x

x

x b p X P H HR P

x b p X P H HA P

=

=

= = = > = =

= = = < = =


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0 0

2

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p X P H HR P

qpn pn n p n x b n pn

n x b qpn pn

Z P Z P

p X P H HA P

qpn pn n p n x b n pn

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n x b qpn pn

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0 0 0 0

0 1 0 1

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H HH H

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0

0 > -1t>T

0 < -1t-Z

0 < -1z-


)2v,1v(2/f < =

== = > == =


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/ /: c :

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)2( 882.1 ) ( 1.0 )55 | (55 55/ 6 / 6

31 , 8.25 )2(&)1(

Z P c X Pcn

Z Pc cn n

Z P c X Pc cn n

n c

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1

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p H

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x b

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=

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p ex x x j p nn n n j p n

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k

i ii

ki i

i i

f xX

NXe f

e

X X

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=

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Y X ( y , x)

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. Y X.


: y x

y x

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y x )y,x(f

. x y

|

|

) | ( . ) | (

) | ( . ) | (

y x y

x yy

yd x y k y x y E

x y k y x y E

= == =

/ / / / / / / / //

)Y(

)X(


y x : x y

) 1(

) 1(

|

0 , ;) , (

tniop rehto; 0

0 ;) (

tniop rehto; 0

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tniop rehto; 0

y x

xy x

y

yx

yxy y x y

y x exy x f

x eyd ex x g

x y ky x fy exx g

xx yd ex y yd x y k y x y E

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+

=>

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= = = =>


x y :

: .

.

..

+ = x x y|


x y :

: ( )

2

) ( |

yx y

x x yx y x y

xyx y

x

x

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+ = x y


n : Y X

( iy , ix) n


:

n :

iE . 2

:

+ + = E X Yi i i

2 2

1 1

) (n n

i i ii i

y y e ESS= =

= =


:

.

2 2 2

1 1 1

1

1

1 1

2

1 1 1

) ( ) (

0 ) ( 2

0 ) ( 2

n n n

i i i i ii i i

n

i iin

i i ii

n n

i ii i

n n n

i i i ii i i

x y

x y y y e ESS

x y ESS

x y x ESS

y x n

y x x x

= = =

=

=

= =

= = =

+ = = = =

= = = = = + === = +


:

:

2 2 2

2 2 2

22

; )1

) ( ) ( )2

) ( ) ( )3

) () ( )4

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&

i i

i i x xx

i i y yy

i i i i yx

yxyx yy yy xx yy

xx

yx

xx

y xy x

n nxn x x x SS Syn y y y SS Syxn y x y y x x S

SS S S S S ESS

SS

x yS

= = = = = = = = = = = = =


:

2 2

2

01 001014.65 46501

174.3 4.65 01 01 549601 01 6731

01 174.3 4.65 96.12

547.222

i

i

i i yx

i xx

yx yy

xx

ny

yn

yxn y x Sxn x S

x y

S S ESS

= = =

= = = = =

= = = ==

= =

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2iy

001711

222174

410194

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225421

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iy


X Y ::

, y : , x

:

2 2

7.54991 5.0481 261

8431 2.0281i i i i

i i

y x y xy x

= = = = =

)Y( )X(


: iy ix

.

n

.

1) (2, ) | (12

2

x yi i

y e x y wi i i

= +


:

22

2

2 2 2

22

22

& lamron si )1

) ( ) (rav & ) (

& lamron si )2

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) ( & )32

)2 ( )4

i

xx

yx

xx

xx

n

x yx

ESn

SS

ES

S E SESSn

nS

== =

=

= =

= =


% )-1(001 : x

) 2 (,2 / 1

)2 (,2 / 1

2

2)2 (,2 / 1 )2 (

)2 (

20 0 0

20 00

. : ;

. : ;

1 . : ;1) ( 11) (

~

~n

n

in n

ixx

xx

nxx

xx

xx

xx

xS t t T

xSnS

Sn

S St t TSS

S t y y Tx x y ySx xS n

S n

=

=

+ ++ + =


:

2/-1t-T

0

0> -1t>T

0 < -1t- -1t>T

0 < -1t- y-1t>T

0y < y-1t- 3=

)Y( )X(


2 2

2

01 001014.65 46501

174.3 4.65 01 01 549601 01 6731

01 174.3 4.65 96.12

74.3 7.12

i

i

i i yx

i xx

xx

ny

yn

yxn y x Sxn x S

x y

x x y

= = =

= = = = =

= = = ==+ = + =

2656365071441828006363919631923552244633169

2iy

001711

222174

410194

ix

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48824198212121

1920024840602744144803947384161372201691560560011861

2ix

225421

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iy


)2 (, 2 / 1 )2 (,2 / 1

2 2 2

2 2 2

2

673 01 01 6731

4.2574 )4.65( 01 26563

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82 50.4228 2

. n n

i xx

i yy

i i yx

yx yy

xx

xn x S

yn y S

yxn y x S

S S ESSSESSn

t tS S

= = = = = = = = = = = = = = = + < <

)8(,579.0

.

13.2 579.0 2 / 1 09.0 1

1.4 48.2 .13.2 74.3 .13.2 74.382 82673 673

xx

SS

t

= = =

< < + < <


. 0H T -

0

1

08,99.0

3 : )13 : )2

99.0 1 10.0 )3

09.2 t>T:noiger noitcejeR & )4

227.1 )53 74.382

673

xx

HH

S TS

T

=>

= == =

= =


. :

. %

74=0x 0y %

/ 0 0=

/ 040y 57=0y

YX

moc.afgolb.osiei.www//:ptth moc.oohay@85imarkA_B moc.afgolb.osiei.www//:ptth moc.oohay@85imarkA_B

: . )y,x(f Y X :

: Y X

Y X

.

. Y X

. ]1 , 1-[

.

:

. :

yx ) , (y x

Y X= =


:

.

2 2 2 2

) , (

) () (

yx

y x

i i yx

i i xx yy

Y X

ryxn y x Sxn x yn y S S

= = = =


: r

2/-1t-Z

0

0 > -1t>Z

0 < -1t- -1t>T

0 < -1t-


:

( k==2=1)

:

0

1

0 :,...,2 ,1 ;

0 ; :i

i

Hk i

i H

= =

2 2 2

1 1 1 1 1) ( ) ( ) (

) (

n k k n k

i ji i jij i i j i

x x x x n x x

ESS rT SS TSS= = = = =

+ = + =

: TSS : ESS : )rT(SS

x : xi : kn i


: :

2 2 2 2

1 1 1

) ( &1 1 1k n k

i jii j i

T T rT SS T x TSS= = =nk n nk

= = kn : T i : iT

2 2 22)1 (

1 1

2 2 221

1

: ) ( 1)1 (

: ) () (1

) ())1 ( ,1 ( : 1) ( )1 ()1 (

)1 (

n k

n k i jij i

k

k ii

x xESSn k

x xrT SS nk

rT SSESS k ESSn k k F FkrT SS n k

n k

= =

=

= =


: :

))1-n(k,1-k(-1F F .

1-nKTSS

)1-n(KESS

1-K)rT(SS

F

) () (1

rT SMrT SSk

=

)1 (ESMESS

n k =

rT SM) (ESM


:

:

/

k( ) ( ) ( )

0

1

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0 ; : )299.0 1 10.0 )3

:noiger noitcejeR & )4) (

39.6 )21,2( F>F;))1 ( ,1 ( F>F

i

i

Hk i

i H

FrT SMESM

n k k

= == ==

=


(

666=2)5211(51/1-14058=TSS093=2)5211(51/1-)2004+2043+2583(5/1=)rT(SS672=093-666=)rT(SS-tSS=ESS

. F (

4166 2167232=21/672

2093591=2/09384.8=32/591

F

583=1T043=2T004=3T5211=T14058=i2x


: ( )

:

/ /

./ /

= =F F42.3 & 08.261,3,59.0


:

)F ( F

.

) ( . .


:

.

) ) (

. ( )

. (

.


: jix

. 2 ji

i i

k 1kX2kXnkX

.....

2 12x22xn2x 11x21xn1x ...n

) ,0( : ;ji j i ji

ji

e xn e

+ + + =

1 10 & 0

n k

j ij i

= = = =


:

0

0

1

1

,...,2 ,1 ; 0 :,...,2 ,1 ; 0 :

0 ; :0 ; :

i

j

i

j

k i Hn j H

i Hj H

= = = =


: :

2 2 2

1 1 1 1

2

1 1

) ( ) ( ) (

) (

) (

k k n k

j i jij i j i

n k

j i jij i

x x nk x x n x x

x x x x

ESS BSS rT SS TSS

= = = =

= =

+ =

+ ++ + =

: BSS

: ESS : )rT(SS

: TSS j

xi x kn i

xj


: :

2 2

1

n1 1j

jT T BSS

=nk k =

j : T : T


:

:

1-nKTSS

)1-n()1-K(ESS

1-nBSS

1-k)rT(SS

F

) () (1

rT SMrT SSk

=

1BSMBSSn

=

)1 ()1 (ESMESS

n k =

) (rT

FrT SMESM

=

BFBSMESM

=

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/ : ( )

( )

1 0

01

-1 rT

59.0

-1 B

0 ; : ,...,2 ,1 ; 0 :)2 )1

,...,2 ,1 ; 0 :0 ; :

59.0 1 50.0 )3

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:noiger noitcejeR )4( ,1 ( F> F

i i

jj

rT

B

i H k i Hn j Hj H

FrT SMn k kESM

Fk n BSMESM

= = = == =

= = = 59.0

))1 ()162.3 )21,4( F>F;

n

=


-

91=1-022.351 21=4*32.7272.2=21/2.72

42.373.81=4/2.3760.8=72.2/3.81 38.256.71=3/8.2557.7=72.2/6.71

F

2.72=2.37-8.25-2.351=ESS2.37=2)655(02/1-)2321++299(4/1=BSS8.25=2)655(02/1-)2141++2921(5/1=)rT(SS02.351=2)655(02/1-01651=TSS

01651=2x921=1T531=2T151=3T141=4T655=T99=1T011=2T311=3T111=4T321=5T


: (

94.3=21,3,59.0F 57.7=rTF

62.3=21,4,59.0F 60.8=BF

.


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