Mathematical statistics
Coordinator: Dr Ravi Phatarfod
6 points * Three 1-hour lectures per week, one 1-hour tutorial * Second semester * Clayton * Prerequisites: At levels 3 and 4, VCE Mathematical Methods * Corequisites: MAT1010 or MAT1050 * Prohibitions: MAT1060, MAT1711, MAT1722, MAT1841, GAS1631
Objectives On the completion of this subject students will be able to understand those aspects of probability theory on which statistical inference theory is based; have become familiar with tests of hypotheses, correlation and regression, etc, and use these to solve statistical problems; understand the importance of the mathematical point of view when dealing with statistics.
Synopsis Introductory probability: conditional probability, independence, Bayes' Theorem. Random walks, matching problems and occupancy problems. Statistical inference: estimation and tests of hypotheses, correlation and regression, chi-square test of goodness of fit. Use of MINITAB.
Assessment Examinations (2 hours): 85% * Assignments: 7% * Tests: 8%
Prescribed texts
Johnson R A and Bhattacharyya G K Statistics: Principles and methods 2nd edn, Wiley, 1992
Recommended texts
Feller W An introduction to probability theory and its applications vol. 1, 3rd edn, Wiley, 1968
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