G01 Chapter Contents : NAG Library Manual, Mark 26

g01 Chapter Introduction – a description of the Chapter and an overview of the algorithms available

Function Name	Mark of Introduction	Purpose
g01adc Example Text Example Data	7	nag_summary_stats_freq Mean, variance, skewness, kurtosis, etc., one variable, from frequency table
g01aec Example Text Example Data	6	nag_frequency_table Frequency table from raw data
g01alc Example Text Example Data	4	nag_5pt_summary_stats Five-point summary (median, hinges and extremes)
g01amc Example Text Example Data	9	nag_double_quantiles Quantiles of a set of unordered values
g01anc Example Text Example Data	23	nag_approx_quantiles_fixed Calculates approximate quantiles from a data stream of known size
g01apc Example Text Example Data	23	nag_approx_quantiles_arbitrary Calculates approximate quantiles from a data stream of unknown size
g01atc Example Text Example Data	24	nag_summary_stats_onevar Computes univariate summary information: mean, variance, skewness, kurtosis
g01auc Example Text Example Data	24	nag_summary_stats_onevar_combine Combines multiple sets of summary information, for use after nag_summary_stats_onevar (g01atc)
g01bjc Example Text Example Data	4	nag_binomial_dist Binomial distribution function
g01bkc Example Text Example Data	4	nag_poisson_dist Poisson distribution function
g01blc Example Text Example Data	4	nag_hypergeom_dist Hypergeometric distribution function
g01dac Example Text Example Plot	7	nag_normal_scores_exact Normal scores, accurate values
g01dcc Example Text	7	nag_normal_scores_var Normal scores, approximate variance-covariance matrix
g01ddc Example Text Example Data	4	nag_shapiro_wilk_test Shapiro and Wilk's $W$ test for Normality
g01dhc Example Text Example Data	4	nag_ranks_and_scores Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores
g01eac Example Text Example Data	4	nag_prob_normal Probabilities for the standard Normal distribution
g01ebc Example Text Example Data	1	nag_prob_students_t Probabilities for Student's $t$ -distribution
g01ecc Example Text Example Data	1	nag_prob_chi_sq Probabilities for $χ^{2}$ distribution
g01edc Example Text Example Data	1	nag_prob_f_dist Probabilities for $F$ -distribution
g01eec Example Text Example Data	1	nag_prob_beta_dist Upper and lower tail probabilities and probability density function for the beta distribution
g01efc Example Text Example Data	1	nag_gamma_dist Probabilities for the gamma distribution
g01emc Example Text Example Data	7	nag_prob_studentized_range Computes probability for the Studentized range statistic
g01epc Example Text Example Data	7	nag_prob_durbin_watson Computes bounds for the significance of a Durbin–Watson statistic
g01erc Example Text Example Data	7	nag_prob_von_mises Computes probability for von Mises distribution
g01etc Example Text Example Data	7	nag_prob_landau Landau distribution function
g01euc Example Text Example Data	7	nag_prob_vavilov Vavilov distribution function
g01ewc	25	nag_prob_dickey_fuller_unit Computes probabilities for the Dickey–Fuller unit root test
g01eyc Example Text Example Data	7	nag_prob_1_sample_ks Computes probabilities for the one-sample Kolmogorov–Smirnov distribution
g01ezc Example Text Example Data	7	nag_prob_2_sample_ks Computes probabilities for the two-sample Kolmogorov–Smirnov distribution
g01fac Example Text Example Data	4	nag_deviates_normal Deviates for the Normal distribution
g01fbc Example Text Example Data	1	nag_deviates_students_t Deviates for Student's $t$ -distribution
g01fcc Example Text Example Data	1	nag_deviates_chi_sq Deviates for the $χ^{2}$ distribution
g01fdc Example Text Example Data	1	nag_deviates_f_dist Deviates for the $F$ -distribution
g01fec Example Text Example Data	1	nag_deviates_beta Deviates for the beta distribution
g01ffc Example Text Example Data	1	nag_deviates_gamma_dist Deviates for the gamma distribution
g01fmc Example Text Example Data	7	nag_deviates_studentized_range Computes deviates for the Studentized range statistic
g01ftc Example Text Example Data	7	nag_deviates_landau Landau inverse function $Ψ (x)$
g01gbc Example Text Example Data	6	nag_prob_non_central_students_t Computes probabilities for the non-central Student's $t$ -distribution
g01gcc Example Text Example Data	6	nag_prob_non_central_chi_sq Computes probabilities for the non-central $χ^{2}$ distribution
g01gdc Example Text Example Data	6	nag_prob_non_central_f_dist Computes probabilities for the non-central $F$ -distribution
g01gec Example Text Example Data	6	nag_prob_non_central_beta_dist Computes probabilities for the non-central beta distribution
g01hac Example Text Example Data	1	nag_bivariate_normal_dist Probability for the bivariate Normal distribution
g01hbc Example Text Example Data	6	nag_multi_normal Computes probabilities for the multivariate Normal distribution
g01hcc Example Text Example Data	23	nag_bivariate_students_t Computes probabilities for the bivariate Student's $t$ -distribution
g01hdc Example Text Example Data	24	nag_multi_students_t Computes the probability for the multivariate Student's $t$ -distribution
g01jcc Example Text Example Data	7	nag_prob_lin_non_central_chi_sq Computes probability for a positive linear combination of $χ^{2}$ variables
g01jdc Example Text Example Data	7	nag_prob_lin_chi_sq Computes lower tail probability for a linear combination of (central) $χ^{2}$ variables
g01kac Example Text Example Data Example Plot	9	nag_normal_pdf Calculates the value for the probability density function of the Normal distribution at a chosen point
g01kfc Example Text Example Data Example Plot	9	nag_gamma_pdf Calculates the value for the probability density function of the gamma distribution at a chosen point
g01kkc Example Text Example Data Example Plot	23	nag_gamma_pdf_vector Computes a vector of values for the probability density function of the gamma distribution
g01kqc Example Text Example Data Example Plot	23	nag_normal_pdf_vector Computes a vector of values for the probability density function of the Normal distribution
g01lbc Example Text Example Data	24	nag_multi_normal_pdf_vector Computes a vector of values for the probability density function of the multivariate Normal distribution
g01mbc Example Text Example Data	7	nag_mills_ratio Computes reciprocal of Mills' Ratio
g01mtc Example Text Example Data	7	nag_prob_density_landau Landau density function $ϕ (λ)$
g01muc Example Text Example Data	7	nag_prob_density_vavilov Vavilov density function $ϕ_{V} (λ; κ, β^{2})$
g01nac Example Text Example Data	7	nag_moments_quad_form Cumulants and moments of quadratic forms in Normal variables
g01nbc Example Text Example Data	7	nag_moments_ratio_quad_forms Moments of ratios of quadratic forms in Normal variables, and related statistics
g01ptc Example Text Example Data	7	nag_moment_1_landau Landau first moment function $Φ_{1} (x)$
g01qtc Example Text Example Data	7	nag_moment_2_landau Landau second moment function $Φ_{2} (x)$
g01rtc Example Text Example Data	7	nag_prob_der_landau Landau derivative function $ϕ^{'} (λ)$
g01sac Example Text Example Data	23	nag_prob_normal_vector Computes a vector of probabilities for the standard Normal distribution
g01sbc Example Text Example Data	23	nag_prob_students_t_vector Computes a vector of probabilities for the Student's $t$ -distribution
g01scc Example Text Example Data	23	nag_prob_chi_sq_vector Computes a vector of probabilities for $χ^{2}$ distribution
g01sdc Example Text Example Data	23	nag_prob_f_vector Computes a vector of probabilities for $F$ -distribution
g01sec Example Text Example Data	23	nag_prob_beta_vector Computes a vector of probabilities for the beta distribution
g01sfc Example Text Example Data	23	nag_prob_gamma_vector Computes a vector of probabilities for the gamma distribution
g01sjc Example Text Example Data	23	nag_prob_binomial_vector Computes a vector of probabilities for the binomial distribution
g01skc Example Text Example Data	23	nag_prob_poisson_vector Computes a vector of probabilities for the Poisson distribution
g01slc Example Text Example Data	23	nag_prob_hypergeom_vector Computes a vector of probabilities for the hypergeometric distribution
g01tac Example Text Example Data	23	nag_deviates_normal_vector Computes a vector of deviates for the standard Normal distribution
g01tbc Example Text Example Data	23	nag_deviates_students_t_vector Computes a vector of deviates for Student's $t$ -distribution
g01tcc Example Text Example Data	23	nag_deviates_chi_sq_vector Computes a vector of deviates for $χ^{2}$ distribution
g01tdc Example Text Example Data	23	nag_deviates_f_vector Computes a vector of deviates for $F$ -distribution
g01tec Example Text Example Data	23	nag_deviates_beta_vector Computes a vector of deviates for the beta distribution
g01tfc Example Text Example Data	23	nag_deviates_gamma_vector Computes a vector of deviates for the gamma distribution
g01wac Example Text Example Data Example Plot	24	nag_moving_average Computes the mean and standard deviation using a rolling window
g01zuc	7	nag_init_vavilov Initialization function for nag_prob_density_vavilov (g01muc) and nag_prob_vavilov (g01euc)

NAG Library Chapter Contentsg01 – Simple Calculations on Statistical Data

NAG Library Chapter Contents

g01 – Simple Calculations on Statistical Data