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Tinh Toan Vach Cung

The document contains a series of mathematical equations and symbols related to statistical analysis, specifically involving variables such as σ and τ. It appears to focus on calculations involving these variables, possibly in the context of a statistical model. The formatting is complex and includes various mathematical operations and relationships.

Uploaded by

Tran Nam
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
27 views15 pages

Tinh Toan Vach Cung

The document contains a series of mathematical equations and symbols related to statistical analysis, specifically involving variables such as σ and τ. It appears to focus on calculations involving these variables, possibly in the context of a statistical model. The formatting is complex and includes various mathematical operations and relationships.

Uploaded by

Tran Nam
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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→

!!! → " " #$


% !! "&

'" ( ) "* +, ( -(

σ2
σ1 σ3
σ4

τ τ τ τ

., ) +, ") -/ 0%1*

σ = + σ = − τ=

23% 4 4 %1 5 %6 %1
7 4 8 8. 9 *9
!: 4 8 8. ;*( % %6 %1
<= 4 8 8. >
' 5 ?@ 4 A B
25 C 4 5 % 0? -( D
' E FAG
 D 4σ = =
σ = =
τ = = × −
HI%1 5 %6 %1 4 = × =
HA % 0J 4
= × =
× (σ +σ ) ×( + )=
= =

× (σ −σ ) × ×( − )=
= =
×

 D 4σ = =
σ = =
τ = = × −

HI%1 5 %6 %1 4 = × =
HA % 0J 4
= × =
× (σ +σ ) ×( + )=
= =

× (σ −σ ) × ×( − )=
= =
×
 D #4 σ = =
σ = =
τ = = × −

HI%1 5 %6 %1 4 = × =
HA % 0J 4
= × =
× (σ +σ ) ×( + )=
= =

× (σ −σ ) × ×( − )=
= =
×

K 5
,( -3% L
B MN
A M# M#
N ## O8
P%E %6 Q 8→ = − = − = − = − =
23% -R !!! 5 ?@ ξ = ? +
S % * R% 5 ,( = × = × =
T 01 U8 4
= = =

T 01 U8 V* %
× = × =

× = × =

S * W%1 * 0,X% W6 * "% * > = ( )=


Y *9 4 = = < O Z ;* *9 η=

=η × + − = + − =

5 9 9% :)
×
= = =
×
ξ × = × =
YE= + +?[ @ = >ξ × =
→ 01 U8 5 0X% : ., ?\ ( ] D
   
 + −  × × + − 
=  =  =−
× ×
    
 + × × ×  −  ×  + × × (− ) ×  −  ×
 −   − 
= =
ξ
=
× × × × (− )
× × + × × +
−ξ −

,E 8^ % * W%1 ξ × = < = =
5 = ., ) 4

= =
× − × × − ×
=
× − × × ( − × )=−
× ×
2/= L 9 ., * X, -3% R8 0?@ µ =
⇒ = × × = × × =
S φ 9 +5 ? _ -` ?3% U= O S = > =
K a%b8 + 9% -3% L
B NM $
A c
# N $ O8
×
= = =
× ×
ξ × = × =
S = >ξ × = → 01 U8 5 0X% : ., ?\ ( ]
D 4
T 01 U8 4
= = =

S * W%1 * 0,X% W6 * "% * > = ( )=


=η × + − = + − =

   
 + −  × × + − 
=  =  =
× ×
     
 + × × ×  −  ×  + × × × −  ×
 −ξ   − 
= = =
× × × ×
× × + × × +
−ξ −

,E 8^ % * W%1 ξ × = < = < =


5 = ., ) 4
× − × × − × × − × × ×( − × )=
= = =
× ×
= < =
→ E8 E, W E d e* 0J O

SL 4
B #N
A $c
c O8
SL 4
B c#
A Mc Mc
M O8
<, "( "\ = L b 5 ,( 4
P%E %6 Q 8→ = − = − = − = − =
23% -R !!! 5 ?@ ξ = ? +
S % * R% 5 ,( = × = × =
T 01 U8 4
= = =

S * W%1 * 0,X% W6 * "% * > = ( )=


Y *9 4 = = < O Z ;* *9 η=

=η × + − = + − =

5 9 9% :)
×
= = =
× ×
ξ × = × =
YE= + +?[ @ = >ξ × =
→ 01 U8 5 0X% : ., ?\ ( ] D
   
 + −  × × + − 
=  =  =−
× ×
    
 + × × ×  −  ×  + × × (− ) ×  −  ×
 −ξ   − 
= = =−
× × × × (− )
× × + × × +
−ξ −

2/= L 9 ., * X, -3% R8 0?@ µ =


⇒ = × × = × × =
S φ 9 +5 ? _ -` ?3% U= O S = > =

 SL 4
B $
A N c
O8
 SL 4
B #
A MN
H c O8
S L b 5 ,( 4
P%E %6 Q 8→ = − = − = − = − =
23% -R !!! 5 ?@ ξ = ? +
S % * R% 5 ,( = × = × =
T 01 U8 4
= = =

S * W%1 * 0,X% W6 * "% * > = ( )=


Y *9 4 = = < O Z ;* *9 η=

=η × + − = + − =

5 9 9% :)
×
= = =
× ×
ξ × = × =
YE= + +?[ @ × = × = < = <ξ × =
→ 01 U8 03 0 = = =
   
× + −  × + − 
=  =  =−
× ×
2/= L 9 ., * X, -3% R8 0?@ µ =
⇒ = × × = × × =
S φ 9 +5 ? _ -` ?3% U= O S = > =

 a%b8 + W E d e* f 4
= %( +e = + Z W D 5 ,( 8R L .,
* X,4
S 9 %φ !!
 5 g 4
 = =
88 → g 8%  →

2_ h g 8
'< ( ) "* +, -( 8(= 4

σ1 σ2
σ3 σ4

τ τ τ

' E FAG
 D 4σ = =
σ = =
τ = = × −

HI%1 5 %6 %1 4 = × =
HA % 0J 4
= × =
× (σ +σ ) ×( + )=
= =

× (σ −σ ) × ×( − )=
= =
×

 D 4σ = =
σ = =
τ = = × −

HI%1 5 %6 %1 4 = × =
HA % 0J 4
= × =
× (σ +σ ) ×( + )=
= =
× (σ −σ ) × ×( − )=
= =
×
 D #4 σ = =
σ = =
τ = = × −

HI%1 5 %6 %1 4 = × =
HA % 0J 4
= × =
× (σ +σ ) ×( + )=
= =

× (σ −σ ) × ×( − )=
= =
×

• 5 ,( -3% L
B $N
A $M
$ O8
P%E %6 Q 8
→ = − = − = = − = − =
23% -R !!! 5 ?@ ξ = ? +
S % * R% 5 ,( = × = × =
T 01 U8 4
= = =

T 01 U8 V* %
× = × =

× = × =

S * W%1 * 0,X% W6 * "% * > = ( )=


Y *9 4 = = < O Z ;* *9 η=

=η × + − = + − =

5 9 9% :)
×
= = =
×
ξ × = × =
YE= + +?[ @ = >ξ × =
→ 01 U8 5 0X% : ., ?\ ( ] D
   
 + −  × × + − 
=  =  =−
× ×
    
 + × × ×  −  ×  + × × (− ) ×  −  ×
 −ξ   − 
= = =
× × × × (− )
× × + × × +
−ξ −

,E 8^ % * W%1 ξ × = < = < =


5 = ., ) 4

= =
× − × × − ×
=
× − × × ( − × )=−
× ×
2/= L 9 ., * X, -3% R8 0?@ µ =
⇒ = × × = × × =
S φ 9 +5 ? _ -` ?3% U= O S = > =
• a%b8 + 9% -3% L
B c
A NN #
M O8
×
= = =
× ×
ξ × = × =
S × = × = < = <ξ × =
→ 01 U8 03 0 = = =
T 01 U8 4
= = =

S * W%1 * 0,X% W6 * "% * > = ( )=


=η × + − = + − =
5 = ., ) 4
× − × × − × × − × × ×( − × )=−
= = =
× ×
→ E8 E, W E d e* 0J O

SL 4
B c
A N#Oc#
$ O8
SL 4
B N
A#$ N
#N O8
<, "( "\ = L b 5 ,( 4
P%E %6 Q 8→ = − = − = = − = − =
23% -R !!! 5 ?@ ξ = ? +
S % * R% 5 ,( = × = × =
T 01 U8 4
= = =

T 01 U8 V* %
× = × =

× = × =

S * W%1 * 0,X% W6 * "% * > = ( )=


Y *9 4 = = < O Z ;* *9 η=

=η × + − = + − =

5 9 9% :)
×
= = =
×
ξ × = × =
YE= + +?[ @ × = × = < = <ξ × =
→ 01 U8 03 0 = = =
5 = ., ) 4

= =
× − × × − ×
=
× − × × ( − × )=
× ×
× ×
µ= = = <µ =
× ×
2/= L 9 ., * X, -3% R8 0?@ µ =
⇒ = × × = × × =
S φ 9 +5 ? _ -` ?3% U= O S = > =

 SL 4
B M
A # #c
#$ O8
 SL 4
B
A #N
H N O8
S L b 5 ,( 4
P%E %6 Q 8→ = − = − = = − = − =
23% -R !!! 5 ?@ ξ = ? +
S % * R% 5 ,( = × = × =
T 01 U8 4
= = =

S * W%1 * 0,X% W6 * "% * > = ( )=


Y *9 4 = = < O Z ;* *9 η=

=η × + − = + − =

5 9 9% :)
×
= = =
× ×
ξ × = × =
YE= + +?[ @ = < × = × =
×( − ) ×( − )=−
= =
× ×
2/= L 9 ., * X, -3% R8 0?@ µ =
⇒ = × × = × × =
S φ 9 +5 ? _ -` ?3% U= O S = > =

!" # $ % & ' (


= %( +e = + Z W D 5 ,( 8R L .,
* X,4
S 9 %φ !!
 5 g 4
 = =
88 → g 8%  →

2_ h g 8

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