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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)
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
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Change Languagestats_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 |