01340001

Component

https://doi.org/10.3141/2254-05

http://scholar.google.com....+Ye&publication_year=2011

This paper proposes a practical approach for drawing random samples that satisfy the underlying distributional assumptions in the nested logit model. This approach is a combined application of a series of statistical and numerical techniques including copula-based characterization of joint distributions, quasi-Monte Carlo integration, coordinate conversion, dichotomous approximation, and linear interpolation. With this approach, one may efficiently sample from and directly observe the distribution of common random components that result in correlation between random utilities in the nested logit model. Monte Carlo studies are conducted for two- and three-level nested logit models to evaluate the performance of random samples to recover model coefficients in nested logit models. Simulation experiments show that the relative differences are no more than 3% between mean values of estimators and their true values, indicating the proposed approach’s high level of accuracy in reproducing random components in nested logit models.

01363928

11-3577

English

pp 36-43

2011

Transportation Research Record: Journal of the Transportation Research Board

9780309222990

Print

Appendices (1) ; Figures (4) ; References (28) ; Tables (2)

Approximation (Mathematics); Distributions (Statistics); Logits; Monte Carlo method; Random sampling; Simulation; Statistical analysis

Copula-based models

Cumulative distribution functions; Nested logit models; Random utility

Highways; Planning and Forecasting; I72: Traffic and Transport Planning

TRIS, TRB

Feb 17 2011 6:34PM

• Analytic Relationships Between Travel Time Reliability Measures
• Behavioral Foundation of Route Choice and Traffic Assignment: Comparison of Principles of User Equilibrium Traffic Assignment Under Different Behavioral Assumptions
• Comparative Analysis of Alternate Econometric Structures for Trip Generation Models
• Congestion Pricing, Heterogeneous Users, and Travel Time Reliability: Multicriterion Dynamic User Equilibrium Model and Efficient Implementation for Large-Scale Networks
• Design Features of Activity-Based Models in Practice: Coordinated Travel–Regional Activity Modeling Platform
• Design of Comprehensive Microsimulator of Household Vehicle Fleet Composition, Utilization, and Evolution
• Dynamic Activity Generation Model Using Competing Hazard Formulation
• Estimating Through-Trip Travel Without External Surveys
• Goodness-of-Fit Evaluation Method for Agent-Based Household Microedata Sets Composed of Generalized Attributes
• Incorporating Stochastic Road Capacity into Day-to-Day Traffic Simulation and Traveler Learning Framework: Model Development and Case Study
• Integrated Equilibrium Travel Demand Model with Nested Logit Structure: Fixed-Point Formulation and Stochastic Analysis
• Joint Model of Participation In Nonwork Activities and Time-of-Day Choice Set Formation for Workers
• Network User Equilibrium Model for Scheduling Daily Activity Travel Patterns in Congested Networks
• On the Information Matrix in Mixed Logit Models Estimation
• Planning-Constrained Destination Choice in Activity-Based Model: Agent-Based Dynamic Activity Planning and Travel Scheduling
• Properties of Expected Travel Cost Function with Uncertain Travel Time
• Variability of Travel Time, Users’ Uncertainty, and Trip Information: New Approach to Cost–Benefit Analysis