Native draws

The generation of draws is performed using the command bioDraws(’var’, ’DRAW_TYPE’), where the first argument, var, provides the name of the random variable associated with the draws, and the second argument, DRAW_TYPE, provides the distribution of the random variable (see the bioDraws documentation). The draw type can either be a user-defined type (see Bierlaire (2019) for details) or native draws provided with Biogeme. The list if native doraws is provided in the following table.

Name	Description
UNIFORM	Uniform U[0, 1]
UNIFORM_ANTI	Antithetic uniform U[0, 1]
UNIFORM_HALTON2	Halton draws with base 2, skipping the first 10
UNIFORM_HALTON3	Halton draws with base 3, skipping the first 10
UNIFORM_HALTON5	Halton draws with base 5, skipping the first 10
UNIFORM_MLHS	Modified Latin Hypercube Sampling on [0, 1]
UNIFORM_MLHS_ANTI	Antithetic Modified Latin Hypercube Sampling on [0, 1]
UNIFORMSYM	Uniform U[-1, 1]
UNIFORMSYM_ANTI	Antithetic uniform U[-1, 1]
UNIFORMSYM_HALTON2	Halton draws on [-1, 1] with base 2, skipping the first 10
UNIFORMSYM_HALTON3	Halton draws on [-1, 1] with base 3, skipping the first 10
UNIFORMSYM_HALTON5	Halton draws on [-1, 1] with base 5, skipping the first 10
UNIFORMSYM_MLHS	Modified Latin Hypercube Sampling on [-1, 1]
UNIFORMSYM_MLHS_ANTI	Antithetic Modified Latin Hypercube Sampling on [-1, 1]
NORMAL	Normal N(0, 1) draws
NORMAL_ANTI	Antithetic normal draws
NORMAL_HALTON2	Normal draws from Halton base 2 sequence
NORMAL_HALTON3	Normal draws from Halton base 3 sequence
NORMAL_HALTON5	Normal draws from Halton base 5 sequence
NORMAL_MLHS	Normal draws from Modified Latin Hypercube Sampling
NORMAL_MLHS_ANTI	Antithetic normal draws from Modified Latin Hypercube Sampling