M.Sc Statistics Syllabus and Subjects 2023

The MSc Statistics syllabus consists of theoretical and practical knowledge of mathematical methods used to analyze and report data. The MSc Statistics subjects cover topics such as distribution theory, measure theory and probability, matrix algebra and numerical analysis, computer programming, inference, linear models and regression analysis, and sample surveys.

M.Sc Statistics syllabus is well-designed and provides industry-oriented expertise. Hence, the job scope of M.Sc Statistics is extensive across various sectors based on education, forestry, agriculture, biology, medicine, business, etc.

Table of Content

Semester Wise M.Sc Statistics Syllabus
- First Year M.Sc Statistics Syllabus
- Second-Year M.Sc Statistics Syllabus
M.Sc Statistics Subjects

Semester Wise MSc Statistics Syllabus

The M.Sc Statistics syllabus covers a wide range of topics, such as distribution theory, measure theory and probability, matrix algebra and numerical analysis, computer programming, inference, linear models and regression analysis, and sample surveys. The following is the semester-wise MSc Statistics syllabus:

First-Year MSc Statistics Syllabus

The subjects in the 1st Year M.Sc Statistics Syllabus are given below:

Semester I	Semester II
Analysis and Linear Algebra	Statistical Inference
Distribution Theory	Design of Experiments
Probability Theory	Regression Analysis
Sampling Techniques	Stochastic Processes
Linear Algebra	Theory of Estimation
Elective	Elective

Practical Topics in the First-Year M.Sc Statistics Subjects

The syllabus of MSc Statistics includes laboratory sessions that will enhance their understanding of theory. Some of the practical Topics in the 1st-year M.Sc Statistics subjects are given below:

Statistical Computing - Computer representation of numbers, Errors. Bitwise operations. The C Preprocessor, Macros
Data Analysis - Study of convergence of sequence through plotting
Problem-Solving Using C Language - Problems based on the solution of a system of linear equations.

Second-Year M.Sc Statistics Syllabus

The subjects in the 2nd Year MSc Statistics Syllabus are given below:

Semester III	Semester IV
Multivariate Analysis	Econometrics and Time Series Analysis
Generalized Linear Model	Asymptotic Inference
Testing of Statistical Hypotheses	Reliability and Survival Analysis
Operations Research	Statistical Research Methods
Elective	Elective

Practical Topics in the First-Year M.Sc Statistics Subjects

Some of the practical Topics in the 2nd-year M.Sc Statistics subjects are given below:

Statistical Computing - Evaluating Integrals, Decision Trees, Kruskal-Wallis one-way ANOVA test
Problem-Solving Using SPSS - Likelihood ratio test for testing the equality of several dispersion matrices
Problem-Solving Using R Software - Problems based on estimation of reliability based on complete and censored samples

M.Sc Statistics Subjects

The subjects in the syllabus of MSc Statistics include the study of distribution theory, measure theory and probability, matrix algebra and numerical analysis, computer programming, inference, linear models and regression analysis, and sample surveys. The following is the MSc Statistics subjects list:

Core Subjects

Some of the core subjects under the syllabus of MSc Statistics are given below:

Distribution Theory
Measure Theory and Probability
Matrix Algebra and Numerical Analysis
Computer Programming
Ancillary Mathematics
Inference
Linear Models and Regression Analysis
Design of Experiments
Time Series Analysis
Multivariate Analysis

Elective Subjects

Some of the elective subjects in MSc Statistics are given below:

Bio-statistics
Operational Research
Non- Parametric Inference
Financial Statistics
Order statistics
Statistical Quality Control
Bayesian inference
Advanced survey sampling theory
Advanced Theory of Experimental Designs
Advanced statistical computing and data mining

M.Sc Statistics Subjects in Detail

The Master in Statistics Syllabus is dynamic and includes a wide combination of knowledge based on inferential statistics and descriptive statistics. A detailed view of some of the Master in Statistics subjects is given below:

M.Sc Statistics Subjects	Topics Covered
Analytical Tools for Statistics	Functions of bounded variation, Riemann integral, Functions of several variables, Complex numbers
Probability Theory	A brief review of limit supremum, Outer measure, Integral of non-negative simple function, Sample space, and events
Distribution Theory	Generating functions, Discrete distributions, Continuous distributions, Order Statistics, Sampling distributions
Statistical Inference	The problem of point estimation, Sufficiency, Fisher’s information measure, Methods of estimation, Limitations of classical inference
Multivariate Analysis	Bivariate distributions, Multivariate normal distribution, Sampling distribution of multiple correlation coefficient, Classification problems
Design and Analysis of Experiments	Linear estimation, Principles of experimentation, Factorial experiments, Fixed effect, Split plot, split-split plot, and strip plot designs

M.Sc Statistics Course Structure

MSc Stats syllabus is split into four semesters and aims to provide students with a detailed understanding of the topics through problem-solving, hands-on exercises, study visits, and projects as part of the M.Sc Statistics program. Following is the general structure:

IV Semesters
Core Subjects
Elective Subjects
Practical Workshops
Research Project

M.Sc Statistics Teaching Methodology and Techniques

The MSc Statistics courses include the latest learning approaches and Innovative technologies which include seminars, assignments, workshops, guest lectures, practicals, Internships, and skill development training are mandatory elements within the curriculum of each student. The following methods are generally used in teaching:

Case-Based Learning
Collaborative Learning
Classroom Response System
Demonstrations
Group Discussions
Diagrams and Graphs
Interactive Teaching
Lectures
Problem Solving
Self Study
Weekly Quiz
Group Assignments

M.Sc Statistics Projects

The project evaluation under the M.Sc Statistics syllabus prepares students to manage projects and learn how to implement factors that contribute to task success. Students are required to complete a research project by the end of the fourth semester. The following are the popular projects under the MSc in Statistics syllabus:

Time Series Analysis of Petroleum Product Sales in Nigeria
The Statistical Analysis of Crime Recorded in Kuje -Abuja [FCT] from 1999 to 2007
Comparison of the Strength of Quadrilateral Figure Using a Triangulation Scheme of Minor Degrees
Analysis of the Regression of the National Income from 1998 to 2003

M.Sc Statistics Course Reference Books

Reference books under M.Sc Statistics are available online and offline from a wide variety of publishers. The following books are useful for students planning to study M.Sc Statistics course:

Name of the Books	Authors
Introduction to Probability & Statistics	V K Rohatgi
The Fundamentals of Mathematical Statistics	S C Gupta and V K Kapoor
An Introduction to the Theory of Statistics	Mood and Graybill
An Introduction to Mathematical Statistics	Hogg and Craig
Statistical Methods	N G Das

Top M.Sc Statistics Colleges

IIT Bombay

Mumbai,Maharashtra

IIT Kharagpur

Kharagpur,West Bengal

BHU

Varanasi,Uttar Pradesh

Calcutta University

Kolkata,West Bengal

Manipal Academy of Higher Education (Manipal University)

Manipal,Karnataka

University of Hyderabad (UOH)

Hyderabad,Telangana

AMU

Aligarh,Uttar Pradesh

Delhi University (DU)

Delhi,Delhi NCR

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M.Sc Statistics Fee Structure

FAQs

What is the 1st year syllabus of MSc Statistics?

The 1st year syllabus includes subjects like Distribution Theory, Inference, Ancillary Mathematics, etc.

What are the core subjects of MSc Statistics?

The core subjects are Distribution Theory, Ancillary Mathematics, Time Series Analysis, etc.

Is the MSc Statistics course theoretical?

The M.Sc Statistics course combines theoretical and practical coursework. Candidates must study core and elective subjects, as well as lectures and practicals.

What are the important books for MSc Statistics?

A few popular reference books include Introduction to Probability & Statistics by V K Rohatgi, Statistical Methods by N G Das, etc.

What are the projects in MSc Statistics?

A few common project topics include Time Series Analysis of Petroleum Product sales, Analysis of the Regression of the National Income from 1998 to 2003, etc.