This manual relates to an old release of the Library.
The documentation for the current release is also available on this site.

NAG CL Interface
G05 (Rand)
Random Number Generators

Settings help

CL Name Style:


G05 (Rand) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Function
Mark of
Introduction

Purpose
g05kfc 9 nag_rand_init_repeat
Initializes a pseudorandom number generator to give a repeatable sequence
g05kgc 9 nag_rand_init_nonrepeat
Initializes a pseudorandom number generator to give a non-repeatable sequence
g05khc 9 nag_rand_init_leapfrog
Primes a pseudorandom number generator for generating multiple streams using leap-frog
g05kjc 9 nag_rand_init_skipahead
Primes a pseudorandom number generator for generating multiple streams using skip-ahead
g05kkc 23 nag_rand_init_skipahead_power2
Primes a pseudorandom number generator for generating multiple streams using skip-ahead, skipping ahead a power of 2
g05ncc 9 nag_rand_permute
Pseudorandom permutation of an integer vector
g05ndc 9 nag_rand_sample
Pseudorandom sample from an integer vector
g05nec 23 nag_rand_sample_wgt
Pseudorandom sample, without replacement, unequal weights
g05nfc 28.3 nag_rand_resample
Pseudorandom resampling, unequal weights
g05pdc 9 nag_rand_times_garch_asym1
Generates a realization of a time series from a GARCH process with asymmetry of the form (εt-1+γ)2
g05pec 9 nag_rand_times_garch_asym2
Generates a realization of a time series from a GARCH process with asymmetry of the form (|εt-1|+γεt-1)2
g05pfc 9 nag_rand_times_garch_gjr
Generates a realization of a time series from an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process
g05pgc 9 nag_rand_times_garch_exp
Generates a realization of a time series from an exponential GARCH (EGARCH) process
g05phc 9 nag_rand_times_arma
Generates a realization of a time series from an ARMA model
g05pjc 9 nag_rand_times_mv_varma
Generates a realization of a multivariate time series from a VARMA model
g05pmc 9 nag_rand_times_smooth_exp
Generates a realization of a time series from an exponential smoothing model
g05pvc 25 nag_rand_kfold_xyw
Permutes a matrix, vector, vector triplet into a form suitable for K-fold cross validation
g05pwc 25 nag_rand_subsamp_xyw
Permutes a matrix, vector, vector triplet into a form suitable for random sub-sampling validation
g05pxc 9 nag_rand_matrix_orthog
Generates a random orthogonal matrix
g05pyc 9 nag_rand_matrix_corr
Generates a random correlation matrix
g05pzc 9 nag_rand_matrix_2waytable
Generates a random two-way table
g05rcc 9 nag_rand_copula_students_t
Generates a matrix of pseudorandom numbers from a Student's t-copula
g05rdc 9 nag_rand_copula_normal
Generates a matrix of pseudorandom numbers from a Gaussian copula
g05rec 9 nag_rand_copula_clayton_bivar
Generates a matrix of pseudorandom numbers from a bivariate Clayton/Cook–Johnson copula
g05rfc 9 nag_rand_copula_frank_bivar
Generates a matrix of pseudorandom numbers from a bivariate Frank copula
g05rgc 9 nag_rand_copula_plackett_bivar
Generates a matrix of pseudorandom numbers from a bivariate Plackett copula
g05rhc 9 nag_rand_copula_clayton
Generates a matrix of pseudorandom numbers from a multivariate Clayton/Cook–Johnson copula
g05rjc 9 nag_rand_copula_frank
Generates a matrix of pseudorandom numbers from a multivariate Frank copula
g05rkc 9 nag_rand_copula_gumbel
Generates a matrix of pseudorandom numbers from a Gumbel–Hougaard copula
g05ryc 9 nag_rand_multivar_students_t
Generates a matrix of pseudorandom numbers from a multivariate Student's t-distribution
g05rzc 9 nag_rand_multivar_normal
Generates a matrix of pseudorandom numbers from a multivariate Normal distribution
g05sac 9 nag_rand_dist_uniform01
Generates a vector of pseudorandom numbers from a uniform distribution over (0,1]
g05sbc 9 nag_rand_dist_beta
Generates a vector of pseudorandom numbers from a beta distribution
g05scc 9 nag_rand_dist_cauchy
Generates a vector of pseudorandom numbers from a Cauchy distribution
g05sdc 9 nag_rand_dist_chisq
Generates a vector of pseudorandom numbers from a χ2 distribution
g05sec 9 nag_rand_dist_dirichlet
Generates a vector of pseudorandom numbers from a Dirichlet distribution
g05sfc 9 nag_rand_dist_exp
Generates a vector of pseudorandom numbers from an exponential distribution
g05sgc 9 nag_rand_dist_expmix
Generates a vector of pseudorandom numbers from an exponential mix distribution
g05shc 9 nag_rand_dist_f
Generates a vector of pseudorandom numbers from an F-distribution
g05sjc 9 nag_rand_dist_gamma
Generates a vector of pseudorandom numbers from a gamma distribution
g05skc 9 nag_rand_dist_normal
Generates a vector of pseudorandom numbers from a Normal distribution
g05slc 9 nag_rand_dist_logistic
Generates a vector of pseudorandom numbers from a logistic distribution
g05smc 9 nag_rand_dist_lognormal
Generates a vector of pseudorandom numbers from a log-normal distribution
g05snc 9 nag_rand_dist_students_t
Generates a vector of pseudorandom numbers from a Student's t-distribution
g05spc 9 nag_rand_dist_triangular
Generates a vector of pseudorandom numbers from a triangular distribution
g05sqc 9 nag_rand_dist_uniform
Generates a vector of pseudorandom numbers from a uniform distribution over [a,b]
g05src 9 nag_rand_dist_vonmises
Generates a vector of pseudorandom numbers from a von Mises distribution
g05ssc 9 nag_rand_dist_weibull
Generates a vector of pseudorandom numbers from a Weibull distribution
g05tac 9 nag_rand_int_binomial
Generates a vector of pseudorandom integers from a binomial distribution
g05tbc 9 nag_rand_logical
Generates a vector of pseudorandom logical values
g05tcc 9 nag_rand_int_geom
Generates a vector of pseudorandom integers from a geometric distribution
g05tdc 9 nag_rand_int_general
Generates a vector of pseudorandom integers from a general discrete distribution
g05tec 9 nag_rand_int_hypergeom
Generates a vector of pseudorandom integers from a hypergeometric distribution
g05tfc 9 nag_rand_int_log
Generates a vector of pseudorandom integers from a logarithmic distribution
g05tgc 9 nag_rand_int_multinomial
Generates a vector of pseudorandom integers from a multinomial distribution
g05thc 9 nag_rand_int_negbin
Generates a vector of pseudorandom integers from a negative binomial distribution
g05tjc 9 nag_rand_int_poisson
Generates a vector of pseudorandom integers from a Poisson distribution
g05tkc 9 nag_rand_int_poisson_varmean
Generates a vector of pseudorandom integers from a Poisson distribution with varying mean
g05tlc 9 nag_rand_int_uniform
Generates a vector of pseudorandom integers from a uniform distribution
g05xac 24 nag_rand_bb_init
Initializes the Brownian bridge generator
g05xbc 24 nag_rand_bb
Generate paths for a free or non-free Wiener process using the Brownian bridge algorithm
g05xcc 24 nag_rand_bb_inc_init
Initializes the generator which backs out the increments of sample paths generated by a Brownian bridge algorithm
g05xdc 24 nag_rand_bb_inc
Backs out the increments from sample paths generated by a Brownian bridge algorithm
g05xec 24 nag_rand_bb_make_bridge_order
Creates a Brownian bridge construction order out of a set of input times
g05yjc 9 nag_rand_quasi_normal
Generates a Normal quasi-random number sequence
g05ykc 9 nag_rand_quasi_lognormal
Generates a log-normal quasi-random number sequence
g05ylc 9 nag_rand_quasi_init
Initializes a quasi-random number generator
g05ymc 9 nag_rand_quasi_uniform
Generates a uniform quasi-random number sequence
g05ync 9 nag_rand_quasi_init_scrambled
Initializes a scrambled quasi-random number generator
g05zmc 24 nag_rand_field_1d_user_setup
Setup for simulating one-dimensional random fields, user-defined variogram
g05znc 24 nag_rand_field_1d_predef_setup
Setup for simulating one-dimensional random fields
g05zpc 24 nag_rand_field_1d_generate
Generates realizations of a one-dimensional random field
g05zqc 24 nag_rand_field_2d_user_setup
Setup for simulating two-dimensional random fields, user-defined variogram
g05zrc 24 nag_rand_field_2d_predef_setup
Setup for simulating two-dimensional random fields, preset variogram
g05zsc 24 nag_rand_field_2d_generate
Generates realizations of a two-dimensional random field
g05ztc 24 nag_rand_field_fracbm_generate
Generates realizations of fractional Brownian motion