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PHP : Function Reference : Statistics Functions : stats_cdf_beta

stats_cdf_beta

CDF function for BETA Distribution. Calculates any one parameter of the beta distribution given values for the others. (PECL stats:1.0.0-1.0.2)
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 search 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.

Parameters

par1
par2
par3
which

Integer indicating which of the next four argument values is to be calculated from the others. Legal range: 1..4 iwhich = 1 : Calculate P and Q from X,Y,A and B iwhich = 2 : Calculate X and Y from P,Q,A and B iwhich = 3 : Calculate A from P,Q,X,Y and B iwhich = 4 : Calculate B from P,Q,X,Y and A

Return Values

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

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stats_absolute_deviation
stats_cdf_beta
stats_cdf_binomial
stats_cdf_cauchy
stats_cdf_chisquare
stats_cdf_exponential
stats_cdf_f
stats_cdf_gamma
stats_cdf_laplace
stats_cdf_logistic
stats_cdf_negative_binomial
stats_cdf_noncentral_chisquare
stats_cdf_noncentral_f
stats_cdf_poisson
stats_cdf_t
stats_cdf_uniform
stats_cdf_weibull
stats_covariance
stats_den_uniform
stats_dens_beta
stats_dens_cauchy
stats_dens_chisquare
stats_dens_exponential
stats_dens_f
stats_dens_gamma
stats_dens_laplace
stats_dens_logistic
stats_dens_negative_binomial
stats_dens_normal
stats_dens_pmf_binomial
stats_dens_pmf_hypergeometric
stats_dens_pmf_poisson
stats_dens_t
stats_dens_weibull
stats_harmonic_mean
stats_kurtosis
stats_rand_gen_beta
stats_rand_gen_chisquare
stats_rand_gen_exponential
stats_rand_gen_f
stats_rand_gen_funiform
stats_rand_gen_gamma
stats_rand_gen_ibinomial_negative
stats_rand_gen_ibinomial
stats_rand_gen_int
stats_rand_gen_ipoisson
stats_rand_gen_iuniform
stats_rand_gen_noncenral_chisquare
stats_rand_gen_noncentral_f
stats_rand_gen_noncentral_t
stats_rand_gen_normal
stats_rand_gen_t
stats_rand_get_seeds
stats_rand_phrase_to_seeds
stats_rand_ranf
stats_rand_setall
stats_skew
stats_standard_deviation
stats_stat_binomial_coef
stats_stat_correlation
stats_stat_gennch
stats_stat_independent_t
stats_stat_innerproduct
stats_stat_noncentral_t
stats_stat_paired_t
stats_stat_percentile
stats_stat_powersum
stats_variance
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