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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The Foundations of Mathematical Statistics certification course makes provision for the students to work on the aspects of mathematics and its related application in a professional way and as per industrial standards. The Foundations of Mathematical Statistics syllabus are inevitable for any applicants who want to get their foundation strengthened in statistical concepts.
The content of the course starts with the rudimentary meaning and the scope of statics and goes on to cover topics like- diagrams, tabulations, correlation, graphs, central tendency, kurtosis, dispersion, regression, skewness, probability, and others in an elaborate and detailed manner. Foundations of Mathematical Statistics by Swayam serves as a foundation course for all the students who want to secure a career in the genre of statistics and its related subjects. The course will help the students learn about the random variable and its applications and also make the students aware of the data collection methods.
The Highlights
- Government recognized course
- Course type- core
- Course level- undergraduate
- Course conducted in association with Mahatma Gandhi College, Irritty, Kannur, Kerala
Programme Offerings
- video lectures
- Reading Material
- Online discussion forum
- tests
- quizzes
- assessments
- assignments
Courses and Certificate Fees
| Certificate Availability |
|---|
| no |
What you will learn
In the Foundations of Mathematical Statistics program, the students will study the following-
- Candidates will gain in-depth knowledge and understanding of the module of random variables and their uses.
- Candidates will learn to use the mathematical exception in the files.
- The topic of “discrete random variables” will also be covered in the Foundations of Mathematical Statistics certification syllabus.
- Participants will study the interaction based on binomial random variables.
- The Bernoulli theorem will also be covered by the applicants.
- The students will have their skills further enhanced in the Baye's theorem.
- Applicants will be working on the discrete type of random variables.
- Candidates will further be working on conditioned probability and its applications.
- Students will have their skills enhanced in the domain of sample space and probability.
- Correlation and regression will be descriptively and practically covered in the course syllabus.
Who it is for
The Foundations of Mathematical Statistics certification benefits is for the following candidates-
- Students who want to enhance their existing skills in the subject of statics can enrol in the program.
Application Details
Participants who wish to be a part of the Foundations of Mathematical Statistics certification course are required to follow the steps that are structured below:
Step 1: The program URL https://onlinecourses.swayam2.ac.in/cec21_ma04/preview needs to be first clicked.
Step 2: Thereafter, they will be able to see a tab ‘Join’.
Step 3: On clicking join, candidates will be directed to a new page where they need to log in. The existing users can log in from created account details while new users can create an account on the Swayam platform.
Step 4: Then, they are required to fill a form. Then click on the submit button.
Step 5: Lastly, candidates will be successful in enrolling in the program.
The Syllabus
- First day: module 1 - Meaning and Scope of Statistics
- Third day: module 2 – Classification and Tabulation
- Fifth day: Module 3- Diagrammatic and Graphic Representation of Data – I: Diagrams
- Sixth day: Interaction based on the three modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 4 – Diagrammatic and Graphic Representation of Data – II: Graphs
- Third day:module 5-Diagrammatic and Graphic Representation of Data – III: Graphs
- Fifth day: Module6- Measures of Central Tendency - Arithmetic Mean
- Sixth day: Interaction based on the three modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 7 - Measures of Central Tendency – Median and Mode
- Third day: module 8 –Partition values
- Ffth day: module 9- Measures of dispersion-I: Quartile Deviation and Standard deviation
- Sixth day: Interaction based on the three modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 10 – Measures of dispersion-I: Quartile Deviation and Standard deviation
- Third day: module 11 – Skewness and Kurtosis
- Fifth day: Interaction based on the two modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 12 – Correlation and Regression – Part I: Correlation
- Third day: module 13 – Correlation and Regression – Part II :Regression
- Fifth day: Interaction based on the two modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 14 – Random Experiment, Sample Space and Events and Probability
- Third day: module 15 – Conditional Probability and Independence of events
- Fifth day: Interaction based on the two modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 16 – Bayes’ Theorem
- Third day: module 17 – Random variable-Discrete type
- Fifth day: Interaction based on the two modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 18 – Random variable-Continuous type
- Third day: module 19 – Mathematical Expectation
- Fifth day: Interaction based on the two modules covered.
- Seventh day: deadline for submitting assignments.
- First day: module 20 – Moments and Moment Generating Function
- Third 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.
- First 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.
- First 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.
- First 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.