?ˉèvD?
?Dy
? o
=
?=c
??|¥s
?
|
|
?B?
?B?
?V?¥B?
í
?
?V?¥B?
í
?
?=?
?=?
?V?¥?s
í
?
?V?¥?s
í
?
——
?3+?
?3+?
???
???
ü×
?V?
ü×
?V?
?
1? ú
?V?
ú
?V?
???
???
.
2
.
2
?ˉèvD?
?Dy
? o
=
?B?
?V?¥B?
í
?
?
??| —— μ
??¥
HW?|
?
?.
2 ——????¥.
2
?ˉèvD?
?Dy
? o
=
B a
?V?
?1
?V?¥ '+?
?
1
^B?
HWf
?
?
2??
H Y
43?¥′
^???¥ —
—
^B?
?M
?2
?V?¥
??
HWf
?
?——?1B?
LC
?——
?V? V AT
^B???? V?
¥
LC?¥98 b
?ˉèvD?
?Dy
? o
=
B a
?V?¥B?
í
?
? 1
!2
t
^B?
?V?5
2
t?B
H Y t
1
¥′2
t
1
^B
?
?M
b
?
?M
¥d9+?
^ V[¨à
q
s?f
? aà
qs?
áf
?
?
d?ùf
?¥±
fMD T 1 ?
<
1
10 1 0 —— ?
í
?¥ b
?ˉèvD?
?Dy
? o
=
?22
t
1
? x
1
¥à
q P[2
t
1
? x
1
]:
T F
1
x
1
t
1
?1
?V?2
t¥B
?s?f
?' F
1
x
1
t
1
= P[2
t
1
?x
1
]?12
t¥B?à
q
áf
?
?n¨ê? ——?1 n?à
qs?
?B?
L=ù5?=?à
q
áf
?¨¤
K b
?3 è?
g
t——1BM?¥°
x
1
——1B?¥ü (?
d9??M??
g P[2
10 25°
?4oC]
?ˉèvD?
?Dy
? o
=
?=?
?V?¥?s
í
? ——
?3+?
?K訥
?3+?μ
1?
?
1
?Dù? a
?
2Zμ a
?
3xZμ a
?
4M1f
? b
?ˉèvD?
?Dy
? o
=
B a
?Dù?
?1?l
?V??i
H Y¥
?Dù
? a
t1
?a
t =E{2
t }
?2 a
t
^B?
?f
?'é
^
?
V?
?μ"'f
?¥d9ü (f
?
?——
^B?
HWf
? ——V
U
?é?ò
H Y
?Dù?
?
HW¥M?f ?
?——Q?
?V?
HW
"?¥ê? b
()
∫
∞
∞?
= dxfxxf ,
1
?ˉèvD?
?Dy
? o
=
B a Zμ
? 1?l D{2
t }
? =E{[2
t —a
t ]
2
}
? =E [2
t ]
2
—[a
t ]
2
? 2 D{2
t }9è:T?1
?V ? 2
t¥ Zμ (Zμ b
?V
U
?V?
H Y t? (′ a
t¥êM? b
? 3 è P505
1 a
2
() ()[]
∫
∞
∞?
?=
2
1
2
, tadxtxfx
?ˉèvD?
?Dy
? o
=
?
1s ξ
1 =2cos
2π+θ =2cosθ
? E[ξ (1)]=2cos0°×=1+0=1
? R
ξ
0 1 =E[ξ
0 ξ
1 ]
=E[2cosθ2cos
2π+θ ]
=4E[cos
2
θ]=4E[cos2θ]
2
2
1
2
1
2
1
2
1
4
2
2cos
2
1
2
1
2
1
4
2cos
2
1
2
1
42cos
2
1
2
1
4
=
?
?
?
?
?
?
?
?
?
?
?
?
?×+=
?
?
?
?
?
?
?
?
?
?
?
?
××+=
?
?
?
?
?
?
?
?
?
?
?
?
+
?
?
?
?
?
?
=
?
?
?
?
?
?
+=
π
θθ EEE
?ˉèvD?
?Dy
? o
=
?
2s ? E[y
t ]
=E@ x
1
cosω
0
t x
2
sinω
0
tB
=cosω
0
tE[x
1
] sinω
0
tE[x
2
]" 0
? E{y
2
t }=E{[ x
1
cosω
0
t x
2
sinω
0
t]
2
}
= E{x
1
2
cos
2
ω
0
t 2x
1
x
2
cosω
0
tsinω
0
t x
2
2
sin
2
ω
0
t}
= cos
2
ω
0
tE[x
1
2
] sin2ω
0
tE[x
1
x
2
] sin
2
ω
0
tE@ x
2
2
B
=
cos
2
ω
0
t σ
2
sin2ω
0
tE[x
1
]E[x
2
]+
sin
2
ω
0
t σ
2
=
cos
2
ω
0
t+sin
2
ω
0
t σ
2
= σ
2
?ˉèvD?
?Dy
? o
=
? ?C
t
1
t
2
=R
t
1
t
2
a
t
1
a
t
2
? =R
t
1
t
2
=E@ ξ
t
1
ξ
t
2
B
? =E{[x
1
cosω
0
t
1
x
2
sinω
0
t
1
][x
1
cosω
0
t
2
x
2
sinω
0
t
2
]
? =E{x
1
2
cosω
0
t
1
cosω
0
t
2
x
1
x
2
sinω
0
t
1
cosω
0
t
2
x
1
x
2
cosω
0
t
1
sinω
0
t
2
x
2
2
sinω
0
t
1
sinω
0
t
2
}
? =cosω
0
t
1
cosω
0
t
2
E@ x
1
2
B sinω
0
t
1
cosω
0
t
2
E@ x
1
x
2
B
cosω
0
t
1
sinω
0
t
2
E@ x
1
x
2
B sinω
0
t
1
sinω
0
t
2
E@ x
2
2
B
? =σ
2
cosω
0
t
1
cosω
0
t
2
σ
2
sinω
0
t
1
sinω
0
t
2
? =σ
2
cosω
0
t
1
t
2
? =σ
2
cosω
0
τ
τ=t
1
t
2
?ˉèvD?
?Dy
? o
=
B axZμf
??M1f
?
? 1¨?Q?
?V??]
H Y-W¥= ó"
? ?
?V??i
?
H Y
¤¥
?M
¥d9M1+? b
? 21xZμf
?
?V??]
H Y¥
Zμ?l1 C
t
1
t
2
=E{[2
t
1
—a
t
1
][2
t
2
—a
t
2
]}
()[]()[]()
∫∫
∞
∞?
∞
∞?
??=
21212122211
,;, dxdxttxxftaxtax
?ˉèvD?
?Dy
? o
=
?1M1f
??l
?Dù? =0¥
?
V??]
H Y¥Zμ1
?R
t
1
t
2
=E[2
t
1
2
t
2
]
()
∫∫
∞
∞?
∞
∞?
=
212121221
,;, dxdxttxxfxx
?ˉèvD?
?Dy
? o
=
?1
!2 (t) a+ (t)sY1
?
?V?o
xZμf
?
?]
?V??]
H Y
¥Zμ?l1 C
2+
t
1
t
2
=E{[2
t
1
—a
t
1
][+
t
2
—a
t
2
]}
?oM1f
??l
?Dù? =0¥?]
?
V??]
H Y¥Zμ1
R
2+
t
1
t
2
=E[2
t
1
+
t
2
]
?ˉèvD?
?Dy
? o
=
?2M1f
? R
t
1
t
2
VV
U1
R
t
1
t
1
+7
?
a
üM1f
?G ??
S
H Y t
1
#
HW
W?7'M1f
?
^ t
1
?7¥f
? b
?ˉèvD?
?Dy
? o
=
??? ü×
?V?
?ˉèvD?
?Dy
? o
=
B a
?V??l
?1?l?
?V?2
t¥ n?
s?f
?à
q
áf
??
?
HW
M??
a?
?
HWe?
t
1
¥
ê|7M? ——5?2 (t)
^ü×
?
V?
?ˉèvD?
?Dy
? o
=
?2ü×
?V?¥+?
?
1
? Dù??ZμD tí1Os
Y1è
? a#6
2
?
2 1 M1f
?oD
HWW?7μ1
?ˉèvD?
?Dy
? o
=
?3?T E[2 (t)]=è
? ——'
?D
ù?1è
?
? E[2
2
(t)] s+ ?——'ü (?
q1
μK′
? E[2 (t) 2 (t+7 )]=R
7 ——1
M1f
?oD
HWW?7μ1
?——5?2 (t)1<lü×
?V?
zü×
?V? b
?ˉèvD?
?Dy
? o
=
= aò
? ?ü?D
HWü (
? 1 ò
? ?ü? ¥cl
^V
?V??
¤?¥?B
LCz^
?ü ?
?V
?¥
?μ V?
? byN ¨B?
LC
¥
HWü (ü V[}9
?¥d9ü (
"?ü (
?ˉèvD?
?Dy
? o
=
? 2ò
? ?ü?
^·
?@B?¥H q
/ ü ×
?V? V[¨
HWü ( ?}
9d9ü ( ——'? μò
? ?ü?
¥ü×
?V?/
T? ?
() ()
?
?
?
?
?
=
=
=
ττ
σσ
RR
aa
22
?ˉèvD?
?Dy
? o
=
? μò
? ?ü?¥
?V?A?
^ü
×
?V?ü×
?V??B?
^ò
? ?ü?¥ b
?ˉèvD?
?Dy
? o
=
? aü×
?V?1M1f
?¥?é
?ˉèvD?
?Dy
? o
=
1×1?é
?
1 R
0 =E[2
2
(t)]=S——1ü×
?V
?2 (t)¥ü (?
q
?
2 R
? =[E2 (t)]
2
=E
2
[2 (t)]——12 (t)
¥°
@?
q
?
3 R
0 —R
? =6
2
——Zμ12 (t)
¥?
@?
q ——'ü×
?V?¥ü (?
q
D°
@?
q-μ =
?¥?
@?
q
?
4 R
7 =R
—7 ——' R
7 1
7¥}f
?
?
5 R
0 ? |R
7 |——1M1f
? R
77 =0
HμKv′ b
?ˉèvD?
?Dy
? o
=
2ü×
?V?¥?
q?
á
?
!2
T
t1ü×
?V?2
t¥?f
?
?O±
fMDi'μ
2
T
t o 1 F
2 T
<
?5ü×
?V?¥?
q?
á P
2
<1
()
()
T
FE
p
T
2
lim
ω
ω
ξ
ξ
=
?ˉèvD?
?Dy
? o
=
ü×
?V??
q
á 1
2
<¥?é
1 1
2
<1<¥}f
?
2 1
2
< ?×
¥
???
?
V?¥ü (?
q
3 1
2
<1dμ
Lf
? b
?ˉèvD?
?Dy
? o
=
1 aü×
?V?¥?
q?
á
?
1 ?
q
á P
2
< D1M1
f
? R
2
7
^B° ú=MD
?ˉèvD?
?Dy
? o
=
?
1? ú
?V?
?Y??訥ey
? 1ú
?V?¥??é??¤?
32T
? 2¨ú
??V
Ut ?C`
?á
3¥Bt
?V?
Hèè
^
aR
¥ b
?ˉèvD?
?Dy
? o
=
B a?l
?
?V?2
T
t?
?¥?i n?s
??V?
?s?
n=1 2 ……
?5?2
t?1ú
?V? b
?ˉèvD?
?Dy
? o
=
= a?é
?
1?T
?V?2
t
^ú
?¥5
?
M
x
1
x
2
…… x
n
¥ n? ó?à
q
á
f
???ò
?M
¥
?Dù? aZμ?
-W¥BB?xZμf
?
? %?
?
2?TB?ú
?V?
^<lü×¥
?
3?Tú
?V??¥
?M
-Wo?
M15
?
ì9
^d9? ?¥
?
4?T|B?ú
?V?F?B?L??
?
{
¥
?V?9
^ú
?¥ b
?ˉèvD?
?Dy
? o
=
??? .
2
?B a?l·t ?"d??|¥.
{
D) ??
yT¨7????? e?¥
B??31¥o? ——4???
?ˉèvD?
?Dy
? o
=
= a? ì.
2
? ·ü (′1 0?¥à
q
áf
?1ú
?s?¥.
2
?ˉèvD?
?Dy
? o
=
? a£.
2
?1·?8?è0¥
??
?á
3¥
B?è.
2
?2£.
29
^ (′1 0¥ú
?s? b
?ˉèvD?
?Dy
? o
=
1 aú
?.
2
??.
2¥?i n?s???Vú
?s
?
H??.
2d?1ú
?.
2 b
?ˉèvD?
?Dy
? o
=
B a a.
2
? 1?.
2 n
t¥?
q?
á p
n
<
— ? + ?¥???
qS?=?
^
(s?¥5?
?1a.
2 —— ?
?
?;D?c
?? Vn;;?¥a?
; b
?ˉèvD?
?Dy
? o
=
?2 ?a.
2
^ü?
q?
á
^ (s?7
y¥7
àμ
#
??V
I
1"¥à
qs?
? ?ü;?Vú
?s?7?
q?
á ?
^ (s
?¥.
2?1ú
?a.
2
?£.
2???.
2ü
^ú
?a.
2 b