User Manual

104 Section 4: Using Matrix Operations
104


2
1
)1()1(2)2/exp()2/()(
2
x
x
m
madwwwf x
.
Here x
2
> x
l
> 0, a and n are known (n > 1), and m = (n − 1)/2 − l.
An initial guess for (x
l
, x
2
) is
2
2/,1
)0(
1 an
xx


and
2
2/1,1
)0(
2 an
xx


Where
2
, pd
x
is the pth percentile of the chi-square distribution with d degrees of freedom.
For this example,
 
       









2exp22exp2
1)1(11
)(
2212
21
xxxx
xnxn
mm
xF
.
Enter the following program:
Keystrokes
Display
|¥
Program mode.
´CLEARM
000-
´bA
001-42,21,11
2
002- 2
v
003- 36
´mC
004-42,23,13
Dimensions F matrix to 2 × 2.
1
005- 1
´mB
006-42,23,12
Dimensions f matrix to 2 × 1.
GB
007- 32 12
Calculates f and F.
l>A
008-45,16,11
l>B
009-45,16,12
l>C
010-45,16,13
´<Á
011-42,26,14
÷
012- 10
Calculates d
(k)
.
´<A
013-42,26,11
-
014- 30
Calculates x
(k + 1)
= x
(k)
– d
(k)
.
|K
015- 43 36
´>8
016-42,16, 8
Calculates ||d
(k)
||
F
.
l>B
017-45,16,12
´>8
018-42,16, 8
Calculates ||f(x
(k)
)||
F
.
|n
019- 43 32
´bB
020-42,21,12
Routine to calculate f and F.
´>1
021-42,16, 1
´UlA
022u 45 11