stats_cdf_beta
(PECL stats >= 1.0.0)
stats_cdf_beta — Fonction CDF pour Distribution BETA. Calcule n'importe quel paramètre de distribution beta des valeurs données pour les autres
Description
float stats_cdf_beta
( float
$par1
, float $par2
, float $par3
, int $which
)
Method
Cumulative distribution function (P) is calculated directly by
code associated with the following reference.
DiDinato, A. R. and Morris, A. H. Algorithm 708: Significant
Digit Computation of the Incomplete Beta Function Ratios. ACM
Trans. Math. Softw. 18 (1993), 360-373.
Computation of other parameters involve a seach for a value that
produces the desired value of P. The search relies on the
monotinicity of P with the other parameter.
Note
The beta density is proportional to
t^(A-1) * (1-t)^(B-1)
Arguments
P -- The integral from 0 to X of the chi-square
distribution.
Input range: [0, 1].
Q -- 1-P.
Input range: [0, 1].
P + Q = 1.0.
X -- Upper limit of integration of beta density.
Input range: [0,1].
Search range: [0,1]
Y -- 1-X.
Input range: [0,1].
Search range: [0,1]
X + Y = 1.0.
A -- The first parameter of the beta density.
Input range: (0, +infinity).
Search range: [1D-100,1D100]
B -- The second parameter of the beta density.
Input range: (0, +infinity).
Search range: [1D-100,1D100]
STATUS -- 0 if calculation completed correctly
-I if input parameter number I is out of range
1 if answer appears to be lower than lowest
search bound
2 if answer appears to be higher than greatest
search bound
3 if P + Q .ne. 1
4 if X + Y .ne. 1
BOUND -- Undefined if STATUS is 0
Bound exceeded by parameter number I if STATUS
is negative.
Lower search bound if STATUS is 1.
Upper search bound if STATUS is 2.
Liste de paramètres
-
par1 -
-
par2 -
-
par3 -
-
which -
Integer indicating which of the next four argument
values is to be calculated from the others.
Legal range: 1..4
which = 1 : Calculate P and Q from X,Y,A and B
which = 2 : Calculate X and Y from P,Q,A and B
which = 3 : Calculate A from P,Q,X,Y and B
which = 4 : Calculate B from P,Q,X,Y and A
Valeurs de retour
STATUS -- 0 if calculation completed correctly
-I if input parameter number I is out of range
1 if answer appears to be lower than lowest
search bound
2 if answer appears to be higher than greatest
search bound
3 if P + Q .ne. 1
4 if X + Y .ne. 1
