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Biogeme 3.3.5 documentation
Biogeme 3.3.5 documentation
  • Install
  • Examples
    • Some simple examples for beginners
      • Importing model specification
      • Using the estimated model
      • Estimation of a binary logit model
      • Estimation results
      • Configuring Biogeme with parameters
    • Biogeme examples for the Swissmetro data
      • 21a. Assisted specification
      • Assisted specification
      • 18a. Ordinal logit model
      • 18b. Ordinal probit model
      • 23a. Binary logit model
      • 23b. Binary probit model
      • Re-estimate the Pareto optimal models
      • 1a. Estimation of a multinomial logit model
      • 21c. Re-estimate the Pareto optimal models
      • 28. Explicit parameter overrides in a simple model
      • 4. Out-of-sample validation
      • 1c. Illustration of the quick_estimate method in Biogeme
      • 8. Box-Cox transforms
      • 19. Calculation of individual level parameters
      • 2. Estimation with weights: WESML
      • 3. Moneymetric and heteroscedastic specification
      • 17b. Mixture with lognormal distribution and numerical integration
      • 6b. Mixture of logit models with uniform MLHS draws
      • 17a. Mixture with lognormal distribution
      • 6a. Mixture of logit models with uniform distribution
      • 5b. Mixture of logit models with numerical integration
      • 10. Nested logit model normalized from bottom
      • 7. Latent class model
      • 24. Mixture of logit with Halton draws
      • 9. Nested logit model
      • 5a. Mixture of logit models with Monte-Carlo integration
      • 6c. Mixture of logit models with uniform distribution and numerical integration
      • 14. Nested logit with corrections for endogeneous sampling
      • 11c. Cross-nested logit with a sparse structure
      • 1d. Simulation of a logit model
      • 25. Triangular mixture of logit
      • 12. Mixture of logit with panel data
      • 20. Estimation of several models
      • 11a. Cross-nested logit
      • 21b. Specification of a catalog of models
      • 12bis. Mixture of logit with panel data and segmented ASC
      • 26. Triangular mixture with panel data
      • 13. Simulation of panel model
      • 27. Post-estimation Monte Carlo draw-stability diagnostic
      • 1e. Logit model with several algorithms
      • 5c. Simulation of a mixture model
      • 11b. Simulation of a cross-nested logit model
      • Mixture of logit
      • 15a. Discrete mixture with panel data
      • 15b. Discrete mixture with panel data
      • 16. Discrete mixture with panel data
      • 1b. Illustration of additional Biogeme features
      • Specification of a catalog of models
    • Biogeme examples for Bayesian inference with the Swissmetro data
      • 19. Calculation of individual level parameters
      • 18a. Ordinal logit model
      • 18. Ordinal probit model
      • 4. Out-of-sample validation
      • 23a. Binary logit model
      • 23b. Binary probit model
      • 1a. Estimation of a logit model (Bayesian)
      • 6. Mixture of logit models: uniform distribution
      • 1c. Simulation of a logit model (traditional and Bayesian)
      • 3. Moneymetric and heteroscedastic specification
      • 17. Mixture with lognormal distribution
      • 8. Box-Cox transforms
      • 5. Mixture of logit models: normal distribution
      • 10. Nested logit model normalized from bottom
      • 7. Latent class model
      • 9. Nested logit model
      • 2. Logit and sample with weights (Bayesian)
      • 25. Triangular mixture of logit
      • 1b. Estimation of a logit model with custom priors (Bayesian)
      • 12. Mixture of logit with panel data
      • 26. Triangular mixture with panel data
      • 11. Cross-nested logit
      • 15. Discrete mixture with panel data
      • 16. Latent class model with panel data
    • Calculating indicators with Biogeme
      • Estimation and simulation of a nested logit model
      • Arc elasticities
      • Examples of mathematical expressions
      • Calculation of market shares
      • Cross point elasticities
      • Simulation of a choice model
      • Calculation of willingness to pay
      • Direct point elasticities
      • Calculation of revenues
    • Timing function evaluation
      • Comparison of execution times
    • Monte-Carlo integration with Biogeme
      • Mixtures of logit with Monte-Carlo 10_000 draws
      • Mixtures of logit with Monte-Carlo 500 draws
      • Mixtures of logit with Monte-Carlo 10_000 MLHS draws
      • Mixtures of logit with Monte-Carlo 10_000 antithetic draws
      • Mixtures of logit with Monte-Carlo 500 MLHS draws
      • Mixtures of logit with Monte-Carlo 500 antithetic draws
      • Mixtures of logit with Monte-Carlo 10_000 Halton draws
      • Mixtures of logit with Monte-Carlo 500 Halton draws
      • Mixtures of logit with Monte-Carlo 10_000 antithetic MLHS draws
      • Mixtures of logit with Monte-Carlo 2000 antithetic MLHS draws
      • Numerical integration
      • Simple integral
      • Estimation of mixtures of logit
      • Monte-Carlo integration
      • Antithetic draws explicitly generated
      • Antithetic draws
      • Various integration methods
    • Hybrid choice models
      • Baseline mode choice model: maximum likelihood estimation
      • Sequential estimation of a choice model with a latent variable
      • Gaussian MIMIC model: maximum likelihood estimation
      • 8. Build-only hybrid-choice example with explicit parameter overrides
      • Gaussian hybrid mode choice model: simultaneous maximum likelihood estimation
      • Ordered-logit hybrid mode choice model: simultaneous maximum likelihood estimation
      • Ordered-probit hybrid mode choice model: simultaneous maximum likelihood estimation
      • Simultaneous hybrid choice model with ordered-probit indicators
    • Hybrid choice models specifications
      • Generate files from latent-variable measurement specifications
      • Resolve latent-variable measurement specifications
    • Assisted specification with Biogeme
      • Combine many specifications: exception is raised
      • One model among many
      • Re-estimation of best models
      • Base model
      • Combine many specifications: assisted specification algorithm
      • Catalog for alternative specific coefficients
      • Investigation of several choice models
      • Catalog for segmented parameters
      • 10. Controlling a generated parameter for a missing segmentation category
      • Segmentations and alternative specific specification
      • Catalog of nonlinear specifications
      • Example of a catalog
    • Sampling of alternatives
      • Logit
      • Nested logit
      • Cross-nested logit
    • Examples for the MDCEV model
      • Gamma-profile MDCEV estimation
      • Non-monotonic MDCEV estimation
      • Generalized translated MDCEV estimation
      • Translated MDCEV estimation
      • Non-monotonic MDCEV forecasting
      • Translated MDCEV forecasting
      • Generalized translated MDCEV forecasting
      • Gamma-profile MDCEV forecasting
    • Programming with Biogeme
      • biogeme.version
      • biogeme.filenames
      • biogeme.biogeme_logging
      • biogeme.segmentation
      • biogeme.cnl
      • biogeme.loglikelihood
      • biogeme.distributions
      • biogeme.nests
      • biogeme.tools
      • biogeme.database
      • biogeme.results_processing
      • biogeme.draws
      • biogeme.optimization
      • biogeme.biogeme
      • biogeme.models
      • biogeme.expressions
  • Configuration parameters
  • Native draws
  • Monte Carlo draw-stability diagnostic
  • Numerically safe likelihood evaluation
  • Biogeme code: how the pieces fit together
  • Biogeme API reference
    • biogeme module
      • biogeme.assisted module
      • biogeme.audit_tuple module
      • biogeme.bayesian_estimation module
        • biogeme.bayesian_estimation.bayesian_results module
        • biogeme.bayesian_estimation.bayesian_results_summary module
        • biogeme.bayesian_estimation.check_shape module
        • biogeme.bayesian_estimation.html_output module
        • biogeme.bayesian_estimation.pandas_output module
        • biogeme.bayesian_estimation.raw_bayesian_results module
        • biogeme.bayesian_estimation.sampling module
        • biogeme.bayesian_estimation.sampling_strategy module
      • biogeme.biogeme module
      • biogeme.biogeme_logging module
      • biogeme.catalog module
        • biogeme.catalog.catalog module
        • biogeme.catalog.catalog_iterator module
        • biogeme.catalog.central_controller module
        • biogeme.catalog.configuration module
        • biogeme.catalog.controller module
        • biogeme.catalog.generic_alt_specific_catalog module
        • biogeme.catalog.segmentation_catalog module
        • biogeme.catalog.specification module
      • biogeme.check_parameters module
      • biogeme.cnl module
      • biogeme.constants module
      • biogeme.data module
        • biogeme.data.mdcev_data module
        • biogeme.data.optima module
        • biogeme.data.swissmetro module
      • biogeme.database module
        • biogeme.database.audit module
        • biogeme.database.container module
        • biogeme.database.mdcev module
        • biogeme.database.panel module
        • biogeme.database.panel_map module
        • biogeme.database.sampling module
      • biogeme.default_parameters module
      • biogeme.deprecated module
      • biogeme.dict_of_formulas module
      • biogeme.distributions module
      • biogeme.draws module
        • biogeme.draws.factory module
        • biogeme.draws.generators module
        • biogeme.draws.management module
        • biogeme.draws.native_draws module
        • biogeme.draws.pymc_draws module
      • biogeme.exceptions module
      • biogeme.expressions module
        • biogeme.expressions.add_prefix_suffix module
        • biogeme.expressions.audit module
        • biogeme.expressions.base_expressions module
        • biogeme.expressions.bayesian module
        • biogeme.expressions.belongs_to module
        • biogeme.expressions.beta_parameters module
        • biogeme.expressions.binary_expressions module
        • biogeme.expressions.binary_max module
        • biogeme.expressions.binary_min module
        • biogeme.expressions.boxcox module
        • biogeme.expressions.collectors module
        • biogeme.expressions.comparison_expressions module
        • biogeme.expressions.conditional_sum module
        • biogeme.expressions.convert module
        • biogeme.expressions.cos module
        • biogeme.expressions.deprecated module
        • biogeme.expressions.derive module
        • biogeme.expressions.distributed_parameter module
        • biogeme.expressions.divide module
        • biogeme.expressions.draws module
        • biogeme.expressions.elem module
        • biogeme.expressions.elementary_expressions module
        • biogeme.expressions.elementary_types module
        • biogeme.expressions.exp module
        • biogeme.expressions.expm1 module
        • biogeme.expressions.individual_draws module
        • biogeme.expressions.integrate module
        • biogeme.expressions.jax_utils module
        • biogeme.expressions.linear_utility module
        • biogeme.expressions.log module
        • biogeme.expressions.log_cross_nested module
        • biogeme.expressions.log_domain_cnl module
        • biogeme.expressions.log_nested module
        • biogeme.expressions.log_sampled_cross_nested module
        • biogeme.expressions.log_sampled_logit module
        • biogeme.expressions.log_sampled_nested module
        • biogeme.expressions.logical_and module
        • biogeme.expressions.logical_or module
        • biogeme.expressions.logit_expressions module
        • biogeme.expressions.logzero module
        • biogeme.expressions.minus module
        • biogeme.expressions.montecarlo module
        • biogeme.expressions.multiple_expressions module
        • biogeme.expressions.multiple_product module
        • biogeme.expressions.multiple_sum module
        • biogeme.expressions.named_expression module
        • biogeme.expressions.normalcdf module
        • biogeme.expressions.numeric_expressions module
        • biogeme.expressions.numeric_tools module
        • biogeme.expressions.ordered module
        • biogeme.expressions.panel_likelihood_trajectory module
        • biogeme.expressions.panel_log_likelihood module
        • biogeme.expressions.parameter_overrides module
        • biogeme.expressions.plus module
        • biogeme.expressions.power module
        • biogeme.expressions.power_constant module
        • biogeme.expressions.prepare_for_panel module
        • biogeme.expressions.random_variable module
        • biogeme.expressions.rename_variables module
        • biogeme.expressions.set_panel_id module
        • biogeme.expressions.sin module
        • biogeme.expressions.sparse_log_cross_nested module
        • biogeme.expressions.times module
        • biogeme.expressions.unary_expressions module
        • biogeme.expressions.unary_minus module
        • biogeme.expressions.validation module
        • biogeme.expressions.variable module
        • biogeme.expressions.visitor module
        • biogeme.expressions.weighted_logsum_exp module
      • biogeme.expressions_registry module
      • biogeme.filenames module
      • biogeme.floating_point module
      • biogeme.function_output module
      • biogeme.jax_calculator module
        • biogeme.jax_calculator.function_call module
        • biogeme.jax_calculator.multiple_formula module
        • biogeme.jax_calculator.simple_formula module
        • biogeme.jax_calculator.single_formula module
      • biogeme.latent_variables module
        • biogeme.latent_variables.biogeme_builder module
        • biogeme.latent_variables.context module
        • biogeme.latent_variables.html_report module
        • biogeme.latent_variables.io module
        • biogeme.latent_variables.latex_report module
        • biogeme.latent_variables.model_spec module
        • biogeme.latent_variables.naming module
        • biogeme.latent_variables.normalization_plan module
        • biogeme.latent_variables.normalization_refs module
        • biogeme.latent_variables.python_generator module
        • biogeme.latent_variables.resolved module
        • biogeme.latent_variables.resolver module
        • biogeme.latent_variables.tex_utils module
        • biogeme.latent_variables.validation module
      • biogeme.likelihood module
        • biogeme.likelihood.bootstrap module
        • biogeme.likelihood.linear_regression module
        • biogeme.likelihood.model_estimation module
        • biogeme.likelihood.negative_likelihood module
      • biogeme.loglikelihood module
      • biogeme.lsh module
      • biogeme.mdcev module
        • biogeme.mdcev.database_utils module
        • biogeme.mdcev.gamma_profile module
        • biogeme.mdcev.generalized module
        • biogeme.mdcev.mdcev module
        • biogeme.mdcev.non_monotonic module
        • biogeme.mdcev.translated module
      • biogeme.model_elements module
        • biogeme.model_elements.audit module
        • biogeme.model_elements.database_adapter module
        • biogeme.model_elements.model_elements module
      • biogeme.models module
        • biogeme.models.boxcox module
        • biogeme.models.cnl module
        • biogeme.models.cnl_slow module
        • biogeme.models.logit module
        • biogeme.models.mev module
        • biogeme.models.nested module
        • biogeme.models.nested_slow module
        • biogeme.models.ordered module
        • biogeme.models.piecewise module
      • biogeme.monte_carlo_diagnostic module
      • biogeme.multiobjectives module
      • biogeme.nests module
      • biogeme.optimization module
      • biogeme.parameters module
      • biogeme.partition module
      • biogeme.profiling module
        • biogeme.profiling.benchmark module
        • biogeme.profiling.environment module
        • biogeme.profiling.jax_profile module
        • biogeme.profiling.timing module
      • biogeme.pymc_calculator module
      • biogeme.results module
      • biogeme.results_processing module
        • biogeme.results_processing.compilation module
        • biogeme.results_processing.estimation_results module
        • biogeme.results_processing.f12_output module
        • biogeme.results_processing.html_output module
        • biogeme.results_processing.latex_output module
        • biogeme.results_processing.pandas_output module
        • biogeme.results_processing.pareto module
        • biogeme.results_processing.raw_estimation_results module
        • biogeme.results_processing.recycle_pickle module
        • biogeme.results_processing.variance_covariance module
      • biogeme.sampling_of_alternatives module
        • biogeme.sampling_of_alternatives.choice_set_generation module
        • biogeme.sampling_of_alternatives.generate_model module
        • biogeme.sampling_of_alternatives.generate_model_slow module
        • biogeme.sampling_of_alternatives.sampling_context module
        • biogeme.sampling_of_alternatives.sampling_of_alternatives module
      • biogeme.second_derivatives module
      • biogeme.segmentation module
        • biogeme.segmentation.database module
        • biogeme.segmentation.one_segmentation module
        • biogeme.segmentation.segmentation module
        • biogeme.segmentation.segmentation_context module
        • biogeme.segmentation.segmented_beta module
      • biogeme.tools module
        • biogeme.tools.checks module
        • biogeme.tools.database module
        • biogeme.tools.derivatives module
        • biogeme.tools.ellipse module
        • biogeme.tools.files module
        • biogeme.tools.formatting module
        • biogeme.tools.jax_multicore module
        • biogeme.tools.likelihood_ratio module
        • biogeme.tools.pandas_to_latex module
        • biogeme.tools.primes module
        • biogeme.tools.pymc_utils module
        • biogeme.tools.serialize_numpy module
        • biogeme.tools.simulate module
        • biogeme.tools.time module
        • biogeme.tools.timeit_context_manager module
        • biogeme.tools.timeit_decorator module
        • biogeme.tools.unique_ids module
        • biogeme.tools.yaml module
      • biogeme.validation module
        • biogeme.validation.cross_validation module
        • biogeme.validation.prepare_validation module
        • biogeme.validation.split_databases module
      • biogeme.validity module
      • biogeme.version module
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Sampling of alternativesΒΆ

Examples discussed in Bierlaire and Paschalidis (2023) Estimating MEV models with samples of alternatives

Logit

Logit

Nested logit

Nested logit

Cross-nested logit

Cross-nested logit
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Logit
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