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Mathematical Statistics
Candidates have to choose between (1) STM 211 + STM 221 or (2) STM 212 + STM 222. The first
combination requires Mathematics at the 100 level, while the second combination requires Statistics at
the 100 level.
STM 211:
Introduction to Mathematical Statistics A
Contents:
Axioms of probability; conditional probability and
independence; random variables and distributions;
2- and higher dimensional random variables;
expected values and moments; moment generating
functions; the law of large numbers and the Central
Limit Theorem. One compulsory practical session
per week. (24 Credits)
Pre-requisite: MAT 111 and 121; or at least 60% final mark for MAT
112 (MAT 122) and MAT 123 (MAT 113) .
STM 212:
Introduction to Mathematical Statistics B
Contents:
Series; partial differentiation; probability, conditional
probability and stochastic independence; random
variables; independence of random variables; 2-
and higher dimensional random variables including
functions of random variables; expected values and
moments; moment-generating functions with some
properties and applications; the law of large
numbers and the central limit theorem with
applications; discrete distributions. One compulsory
practical session per week. (24 Credits)
Prerequisite: At least 60% in STA 121.
STM 221:
Introduction to Mathematical Statistics C
Contents:
Continuous distributions; Applied hypothesis testing; Introduction to sampling theory;
Point and Interval estimation of parameters; Bayes estimates; Linear regression and
correlation. One compulsory practical session per week. (24Credits)
Prerequisite: STM 211.
STM 222:
Introduction to Mathematical Statistics D.
Contents:
Continuous distributions; Applied hypothesis testing; Introduction to sampling theory;
Point and Interval estimation of parameters; Bayes estimates; Linear regression and
correlation. One compulsory practical session per week. (24 Credits)
Prerequisite: STM 212.
Probabilists do it with
large numbers.
Probability and statistics
are as much about intuition
and problem solving, as
they are about theorem
proving. Because of this,
students can find it very
difficult to make a
successful transition from
lectures to examinations to
practice,since the problems
involved can vary so much
in nature.
SECOND YEAR COURSES
