Methods of Statistical Inference
Statistical analysis of real market data has an important role in analytical finance and economics. The course aims to equip students with the skills required for statistical inference. The course presents the main concepts and methods of statistical inference, such as estimation, confidence intervals, hypothesis testing, regression analysis, analysis of variances. It is anticipated that Matlab and other software will be used throughout the course. Review of Probability: probability, random variables, distributions, expectations, sampling distributions, sampling from normal distribution, Estimation: unbiased estimates and mean square error, selection of sample size, efficiency, consistency, sufficiency, minimum variance estimation, moment estimation, maximum likelihood estimation. Confidence Intervals: two-sided and one-sided intervals, coverage probability, confidence intervals for parameters of normal distributions, pivots. Hypothesis Testing: error probabilities, likelihood ratio tests, tests for parameters of normal distribution, power of tests, Neyman-Pearson lemma, hypothesis testing and confidence intervals, p-values. Regression Analysis: linear models, estimation by least squares, inference for regression parameters, regression prediction. Analysis of Variance: one-way layout analysis, ANOVA tables, statistical inference for one-way layout.
Occasions for this course
Spring semester 2024
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Apply for freestanding course to Methods of Statistical Inference to Spring semester 2024 (part time 50%) to Methods of Statistical Inference to Spring semester 2024 (part time 50%) Apply for programme course
Scope
7.5 credits
Time
2024-03-25 - 2024-06-02 (part time 50%)
Education level
First cycle
Course type
Freestanding course, Programme course
Application code
MDU-11127
Language
English
Study location
Västerås
Course syllabus & literature
See course plan and literature list (MMA308)Specific requirements
At least totally 60 credits in the technical, natural sciences, business administration or economics areas including Probability 7.5 credits, of which 3 credits must be completed at the beginning of the course, or the equivalent, and a TOEFL test result, minimum score 173 (CBT), 500 (PBT) or 61 (iBT) or an IELTS test result with an overall band score of minimum 5,0 and no band score below 4,5. Exemption from the requirements of Swedish language proficiency will be made.
Selection
University credits
-
Apply for freestanding course to Methods of Statistical Inference to Spring semester 2025 (part time 50%) to Methods of Statistical Inference to Spring semester 2025 (part time 50%) Apply for programme course
Scope
7.5 credits
Time
2025-03-31 - 2025-06-08 (part time 50%)
Education level
First cycle
Course type
Freestanding course, Programme course
Application code
MDU-11127
Language
English
Study location
Västerås
Course syllabus & literature
See course plan and literature list (MMA308)Specific requirements
At least totally 60 credits in the technical, natural sciences, business administration or economics areas including Probability 7.5 credits, of which 3 credits must be completed at the beginning of the course, or the equivalent, and a TOEFL test result, minimum score 173 (CBT), 500 (PBT) or 61 (iBT) or an IELTS test result with an overall band score of minimum 5,0 and no band score below 4,5. Exemption from the requirements of Swedish language proficiency will be made.
Selection
University credits