Foundations of Mathematical Statistics
CEC and Mahatma Gandhi College via Swayam
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23
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Overview
Syllabus
COURSE LAYOUT
Week 1First day: module 1 - Meaning and Scope of StatisticsThird day: module 2 – Classification and TabulationFifth day: Module 3- Diagrammatic and Graphic Representation of Data – I: DiagramsSixth day: Interaction based on the three modules covered.Seventh day: deadline for submitting assignments.Week 2First day: module 4 – Diagrammatic and Graphic Representation of Data – II: GraphsThird day:module 5-Diagrammatic and Graphic Representation of Data – III: GraphsFifth day: Module6- Measures of Central Tendency - Arithmetic MeanSixth day: Interaction based on the three modules covered.Seventh day: deadline for submitting assignments.
Week 3First day: module 7 - Measures of Central Tendency – Median and ModeThird day: module 8 –Partition valuesFfth day: module 9- Measures of dispersion-I: Quartile Deviation and Standard deviationSixth day: Interaction based on the three modules covered.Seventh day: deadline for submitting assignments.
Week 4First day: module 10 – Measures of dispersion-I: Quartile Deviation and Standard deviationThird day: module 11 – Skewness and Kurtosis Fifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 5First day: module 12 – Correlation and Regression – Part I: CorrelationThird day: module 13 – Correlation and Regression – Part II :RegressionFifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 6First day: module 14 – Random Experiment, Sample Space and Events and ProbabilityThird day: module 15 – Conditional Probability and Independence of eventsFifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 7First day: module 16 – Bayes’ TheoremThird day: module 17 – Random variable-Discrete type Fifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 8First day: module 18 – Random variable-Continuous typeThird day: module 19 – Mathematical ExpectationFifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 9First day: module 20 – Moments and Moment Generating FunctionThird day: module 21 – Discrete Random variables – I (Bernoulli and Binomial random variables)Fifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 10First day: module 22 – Discrete Random variables – II (Geometric random variable)Third day: module 23 – Discrete Random variables – III (Poisson random variable)Fifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 11First day: module 24 – Continuous Random variables – I (Uniform random variable)Third day: module 25 – Continuous Random variables – II (Exponential and Gamma random variable)Fifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Week 12First day: module 26 – Continuous Random variables – III (Normal distribution)Third day: module 27 – Continuous Random variables – IV (Standard normal distribution)Fifth day: Interaction based on the two modules covered.Seventh day: deadline for submitting assignments.
Taught by
Dr.Aneesh Kumar.K
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