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