# UEE1207 Traffic and Transportation Systems, Probability and ```Subject Group UEE-1: Urban Engineering and Planning
UEE1207
Traffic and Transportation Systems, Probability and Statistics for
Planning and Design
Winter semester
Description and rationale: This course deals with the basic concepts and methods of probability and
statistics that are essential for modeling engineering problems under conditions of uncertainty. Transportation
and traffic engineers cannot avoid uncertainties in the design and planning of systems. As a result it is
important to study the principles of probability to evaluate the significance of uncertainty on system
performance and design. This course includes twelve classes. Class 1 shows the need for and significance of
probability. Classes 2 to 4 then study the basic concepts and essential analytical model of probability. Classes 5
to 6 describe the inferential methods of statistics. Classes 7 to 9 introduces the process of the statistical test.
Classes 10 to 11 describe the most important inferential methods. The last class introduces the elements of
quality assurance.
Keywords:
probability, statistics, planning, design, uncertainty, model, random variable.
Pre-requisite:
none
Expected students: master and doctoral
Instructors:
Dr Toru HAGIWARA
Course outline:
(1) Introduction
It outlines role of probability and statistics in engineering.
(2) Basic probability concepts
Study definitions and technical terms with respect to probability, set theory and mathematics of probability.
(3) Analytical models of random phenomena
Study definition of a random variable and many kinds of useful probability distributions, for example, the
normal distribution, the binomial distribution, the poison distribution, the exponential distribution and so on.
(4) Functions of random variables
Study the process how to calculate the derived probability distributions. General techniques are given and
illustrated by examples.
(5) Estimating parameters from observational data
Study the role of statistical inference in engineering and the classical approach to estimate parameters.
(6) Empirical determination of distribution models
Study the Chi-Squared goodness-of-fit test.
(7) Random sampling, data description, and some fundamental sampling distributions
Study the notions of population and samples, how to show properties of a set of data and some
fundamental sampling distributions, for example, t-distribution and F-distribution.
(8) Tests of hypotheses (1)
Study the general concepts of statistical hypothesis as a data-based decision procedure.
(9) Tests of hypotheses (2)
Study the useful statistical tests in detail, for example, z-test, t-test and F-test. General examples are
introduced.
(10) Regression and correlation analyses (1)
Study concepts of the single and multiple regression model and the correlation analysis.
(11) Regression and correlation analyses (2)
Study the method of least squares.
(12) The Bayesian approach
Study the basic concepts of the Bayesian approach.