Lecturer: Dr. Jennie Hansen
The aims of this course are
In this course we develop probability models for random phenomena. In particular, we develop the methodology needed for the study of random variables and their distributions. Random variables are essential to the modelling of most random phenomena, and have applications in statistical science, financial mathematics, and actuarial science. Common discrete and continuous random variables (Bernoulli, binomial, geometric, hypergeometric, Poisson, uniform, normal, lognormal, exponential, gamma) which are frequently used for modelling are introduced and their properties investigated. We also introduce multivariate distributions, conditional distributions, and criteria for independence of random variables. We study sums of independent random variables, and introduce the weak law of large numbers and the central limit theorem.
We will use computer simulation as an aid to understanding the behaviour of probabilistic and statistical models, and to doing calculations for these models.
Some recommended textbooks are:
|2 hour end-of-course examination||(85% weight)|
|continuous assessment||(15% weight)|
Actuarial Mathematics and Statistics,
School of Mathematical and Computer Sciences ,
Heriot-Watt University, Edinburgh EH14 4AS, Scotland
Phone: +44 (0)131 451 3202, Fax +44 (0)131 451 3327 or Email firstname.lastname@example.org