HP 15c - Manual (Page 104)

104 Section 4: Using Matrix Operations
104
       2
1
) 1 ( ) 1 ( 2 ) 2 / exp( ) 2 / ( ) (
2
x
x
m m a dw w w f 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 a n
x x


and
2
2 / 1 , 1
) 0 (
2 a n
x x
 

Where 2
, p d
x is the pth percentile of the chi-square distribution with d degrees of freedom.
For this example,
 
        





  
   

2 exp 2 2 exp 2
1 ) 1 ( 1 1
) (
2 2 1 2
2 1
x x x x
x n x n
m m
x F .
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
´<Б 011-42,26,14
ч 012- 10 Calculates d
(k)
.
´ 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