Statistics Subjects List: Year-wise Syllabus, Semesters, Specializations & Books

Statistical Methods

The course on statistical methods covers statistics from basics to advanced levels. This lays the groundwork for a solid foundation in the subject. 

Economics

Students are required to learn the relationship between economics and statistics and base their decisions on a sound knowledge of both disciplines. The subject offers an insight to the learners to study statistics in practical scenarios. 

Statistical Quality Control (SQC) and Operations Research

This subject is based on various quality tools and management, and measurement systems in statistics. Further students conduct operations research and analysis as a hands-on approach.

Probability

Probability as a subject and its implications are taught in the statistics course. Students are required to understand the practical approach of probability to be applied in all the work fields.

Mathematics

Mathematical topics and concepts are to be studied thoroughly to have a command of the subject of statistics as a whole. Statistics make the most practical use of mathematics and that is why it is one of the core subjects included in the study.

Macroeconomics

The students will learn macroeconomics, including the concepts of National income accounting, Macroeconomic models, Fiscal and monetary policies, Monetary sector and investment function. The application of this subject offers a nationwide approach to students.

Geology

Geology subject gives an insight relating to the earth and its ecosystem. The students understand the working of time and the solar system. The geological principles offer an all-inclusive approach and students would be able to become better at analysing and forecasting weather and the related phenomenon of earth. 

Sociology

This subject offers a study on sociological theory and thoughts. The contents to be studied are the origin of sociological theory, general studies, agrarian sociology and methods of social research. This subject helps carry out quality surveys.

Physics

Science students pursuing degree courses in Statistics prefer to take physics as it offers an understanding of classical mechanics, thermodynamics and statistical mechanics, electromagnetic theory, relativity theory etc.

Agriculture science

Agriculture science as an elective subject includes agroclimatology, agronomy, irrigation, fertilisers, and cropping systems. 

1 & 2 

Core 

Calculus 

The first semester provides students with an insight into the Calculus topic that is relevant to statistical studies. The contents covered are:

• Differential Calculus 
• Review of Differential Equations 
• Review of integration and definite integrals 
• Double Integrals 
• Geometry 

3

Core

Algebra  

The students are required to study algebraic concepts related to mathematics and statistics. The syllabus includes 

• Demoivre’s theorem (both integral and rational index) 
• Inequalities 
• Algebra of matrices-a review 
• Determinants of Matrices 
• System of linear equations 

• Sets, binary relations 

4 

Core

Probability and Statistical Methods 

Here the students study the probability concept to be applied in the field of statistics. Some of the contents to be studied are:

• Statistical Methods 
• Probability Theory 
• Standard discrete probability distributions 
• Standard continuous probability distribution 
• Bivariate and multivariate Distributions 

4 

Core 

Applied Statistics 

This is a course on the study of applied statistics which is used practically in various fields such as economics, psychology, mathematics, finance etc. 

Contents: 

• Index Numbers 
• Demand Analysis 
• Utility and Production Functions 
• Mathematical Finance 
• Statistical Quality Control 

• Indian official Statistics 
• Demography 
• Educational and Psychological Statistics 

5 

Core 

Real Analysis 

In this specialised course, students study Number analysis and its importance in statistics. 

• Real Analysis: Representation of real numbers 
• Infinite series 

• Algebra of continuous functions 

5 

Core 

Survey Sampling 

Here the students are introduced to survey samples which are an integrated part of statistical data. This is the most widely used subject as a practical approach. 

Contents: 

• Sample Survey 
• sampling methods 
• Methods of sampling 
• Ways of sampling 

• Non-sampling errors 

6 

Core 

Numerical Analysis 

This subject compiles the study of numerical analysis in statistics. Numerical and statistical analysis are among the crucial applications in scientific and engineering programming. Subject topics include

• Numerical Analysis 
• Inverse interpolation 
• Numerical integration 
• Solution of difference equations of first order with variable coefficients and linear differential 
• Equations with constant coefficients 

6 

Core 

Computer Programming 

This course offers a futuristic approach to statisticians on utilising technology in the field of statistics. Students will learn the languages that are most demanded in their careers.  

• Programming and its features 
• Statements of language 
• Usage in statistical analysis 

6 

Core 

Statistical Inference 

Statistical inference means the theory, methods, and practice of making judgements based on statistical data and analysis regarding a population. The key concepts to be studied are: 

• Estimation 
• Interval estimation 
• Testing of Hypothesis 

7 

Core 

Linear Models 

This subject highlights different types and uses of linear models in statistics. This subject includes:

• General Linear models 
• Analysis of variance 
• Relationship between variables 

7 

Core 

Stochastic Processes 

The students study the introduction, different types and implications of stochastic processes in statistics. The contents include:  

• Introduction of stochastic processes 
• Classification and illustrative examples 
• Markov chain definition and examples 
• Poisson process and its applications 

7 

Core 

Design of Experiments 

This subject is the study of various designs of experiments in statistics. The contents are: 

• Basic design 
• Incomplete Block Design 
• Factorial experiment 

8 

Core 

Econometrics 

Econometrics is the branch of economics that combines economic theory, mathematical economics and economic statistics. In this subject, students learn some of the advanced concepts of  Economics along with a  mathematical approach to statistics.  

Content: 

• General Linear Model 
• Multicollinearity 
• Autocorrelation 
• Forecasting 

8 

Core 

Biostatistics 

Biostatistics or biometry is the development and application of statistical methods to a wide range of topics in biology. It is essential in the medical field as it combines biology with statistics. 

Contents: 

• Functions of survival time 
• Type I, Type II and progressive or random censoring with biological examples 
• Competing risk theory 

• Stochastic epidemic models 
• Planning and design of clinical trials 

Applied Statistics for industry 

Statistics

This specialisation gives students a practical approach to the industry. The students who want to pursue their career in industries can take applied statistics in the industry as a specialisation.

Financial statistics and statistics of Risk

Statistics

By taking Financial statistics as a specialisation, students can learn the quantitative study of markets. This specialisation focuses on the finance field combined with statistics and also the estimation of risk.

Statistics computing and data mining

Statistics

This specialisation keeps aspiring statisticians future-ready by providing knowledge of advanced computerisation and data mining concepts. As the economy grows, the demand for this specialised degree would increase and computing is sure to revolutionise the field of statistics completely.  

Environmental statistics

Statistics

In this specialisation, statisticians get trained in the field of analysing environmental risks and minimising them. The crucial decisions for the protection of the environment are taken based on investigation and analysis done by statisticians in this field.  

Statistics

Introduction Methods of Numerical Analysis 

S.S Sastry 

Fundamentals of numerical techniques for scientific and technological purposes in a nutshell. 

Statistics

Introduction to Statistical Theory 

Charles J. Stone and Sidney C. Port 

Linear models - estimation, Linear models - testing, Nonparametric approaches, Basic concepts, Evaluation, Test hypothesis, Linear models - estimation, Linear models - testing. 

Statistics

Theory and Analysis of Sample Survey Designs 

Daroga Singh and Fauran S. Chaudhary 

A large variety of exercises using real data sets from diverse domains are presented as either instructive examples or to explain the process of analysis. 

Statistics

A Brief Course in Mathematical Statistics 

Elliot Tanis & Robert V. Hogg 

The presence of variety in practically every activity is highlighted, as well as how the science of probability and statistics may help us comprehend this variation. 

Statistics

Fundamentals of Applied Statistics 

S.C Gupta & V.K Kapoor 

Applied statistics is the activity of evaluating data to assist identify and assessing business needs, and it is at the heart of data analysis. 

Indian Statistical Institute (ISI) 

To be uploaded soon

IIT Kanpur

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Presidency University

To be uploaded soon

St. Xavier College Kolkata

Lady Shri Ram College for Women

Madras Christian College

Loyola College

SP College Pune

Hansraj College

Hindu College