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IIT JAM Mathematical Statistics Syllabus 2022: Section-wise Syllabus, Preparation Tips and Recommended Books

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Nikkil Visha

Exams Prep Master | Updated On - Sep 8, 2021

IIT JAM 2022 Syllabus for Mathematical Statics is divided into two parts i.e. Mathematics and Statistics. The weightage of the mathematics section is 40% and of the statistics section, it is 60%. Candidates who are planning to appear for Mathematical Statistics can download the complete IIT JAM 2022 Syllabus for Mathematical Statics from the official website. 

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Candidates need to analyze section-wise syllabus rigorously before appearing in the exam. Candidates should also note that the question paper will be divided into 3 sections and three types of questions will be asked in the paper i.e. MCQ, MSQ, and NAT. Read the article to know more about IIT JAM section-wise syllabus of mathematical statistics, exam pattern, best books, and preparation tips. Check IIT JAM 2022 Exam Pattern

Read the complete article for detailed Mathematical Statics Syllabus, Preparation Tips and Important Books.

IIT JAM Syllabus for Mathematical Statics

There are two sections such as Mathematics and Statistics in IIT JAM Syllabus. Section-wise details for Mathematics and Statistics Syllabus for IIT JAM are tabulated below.

Mathematics Syllabus

IIT JAM Mathematics Syllabus

Topics Subtopics
Sequences and Series All the areas included in this section are Convergence of real numbers sequences, Comparison, root and ratio tests for convergence of series of real numbers.
Differential Calculus In this unit, all the subtopics covered are Limits, continuity and differentiability of functions of one and two variables. indeterminate forms, maxima and minima of functions of one and two variables. Apart from that, there are some theorems such as Rolle's theorem, mean value theorems, Taylor's theorem, etc.
Integral Calculus Under this section all the properties are Fundamental theorems of integral calculus; Double and triple integrals; applications of definite integrals, arc lengths, areas and volumes, etc
Matrices From Rank, inverse of a matrix; Systems of linear equations; Linear transformations, eigenvalues and eigenvectors to Cayley-Hamilton theorem; symmetric; skew-symmetric and orthogonal matrices are explained in this section.
Statistics Syllabus

IIT JAM Statistics Syllabus 

Probability This section covers the Axiomatic definition of probability and properties, conditional probability, and multiplication rule. It also covers the Theorem of total probability along with Bayes’ theorem and independence of events.
Random Variables There are various sub topics such as Probability mass function, density function and cumulative distribution functions along with distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev's inequality in this unit.
Standard Distributions This section includes Binomial, negative binomial, geometric, Poisson and hypergeometric, uniform, exponential, gamma, beta, and normal distributions. Apart from that, there are Poisson and normal approximations of a binomial distribution.
Joint Distributions In this part, all the areas are Joint, marginal and conditional distributions; Distribution of functions of random variables; Joint moment generating function. It also covers Product moments, correlation, simple linear regression; Independence of random variables.
Sampling distributions and Limit Theorems In the first part, there are Chi-square along with t and F distributions, and their properties. And in the second part, all the areas are the Weak law of large numbers and the Central limit theorem that defines i.i.d. with finite variance case only.
Estimation This section consists of Unbiasedness, consistency, and efficiency of estimators, details of the method of moments as well as the method of maximum likelihood. Besides that, there is Sufficiency, factorization theorem also included. From Completeness, Rao-Blackwell and Lehmann-Scheffe theorems, uniformly minimum variance unbiased estimators to Rao-Cramer inequality; Confidence intervals for the parameters of univariate normal; two independents normal, and one parameter exponential distributions are there.
Testing of Hypotheses Here are some of the primary concepts and applications of Neyman-Pearson Lemma for testing simple and composite hypotheses along with Likelihood ratio tests for parameters of the univariate normal distribution, etc.
Valuable Tips

What are the Valuable Tips to Prepare IIT JAM Syllabus for Mathematics and Statistics?

Some of the most salient principles for taking preparation for the subject Mathematics and Statistics of IIT JAM Syllabus are given below.

  • As the preparation depends on the primary concepts of the syllabus, so, candidate need to well aware of the entire syllabus
  • Make a study plan with all the subject matter of the syllabus for some months
  • Need to improve problem-solving skills as this section is based on the that
  • Centre of attention must be in probability, variable and also in distribution
  • Practice all the theorems and formula
  • Note down all the formulas one by one and keep practicing daily with the time table
  • Make important notes from all the theorems and mark them in bold
  • It is a must to solve all the questions from the previous year paper
  • Start giving the mock test as many times as possible and do not forget to solve the sample papers
  • It is a good practice to revise all the areas from the syllabus to remember

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Exam Pattern

IIT JAM Mathematics and Statistics Exam Pattern

IIT JAM Mathematics and Statistics Exam Pattern is listed below in a table format:

Particulars Details
Total Duration of the Test 3 hours
Total number of questions 60
Number of Section 3 (Sec A, B and C)
Question Type for the Test MCQ, MSQ and NAT
Marks in Total 100
Marks Division

Section Wise Marks Division

Section Number of Questions in Total Question Wise Marks Distribution Marks in Total
Section A 10 1 10
20 2 40
Section B 10 2 20
Section C 10 1 10
10 2 20
Preparation

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IIT JAM Statistics and Mathematics Books for Preparation

Below are some recommended books in a table for preparation for the examination:

Section Book Name Author
Mathematical Statistics IIT-JAM: M.Sc. Mathematical Statistics Joint Admission Test Anand Kumar
Mathematics A Complete Resource Manual M.Sc Mathematics Entrance examination Suraj Singh and Reshmi Gupta
Mathematical Statistics Fundamentals of Mathematical Statistics S.C. Gupta and V K Kapoor
Mathematical Statistics Introduction to Mathematical Statistics Hogg
Statistics An Introduction to Probability and Statistics Vijay K. Rohatgi and A.K. Md. Ehsanes Saleh
Mathematics and Statistics FAQ

Also Check: IIT JAM Paper Analysis 

IIT JAM Syllabus for Mathematics and Statistics FAQ

Ques. Are there any changes in IIT JAM Syllabus for Mathematics and Statistics?

Ans. No, there are no changes in the Mathematics and Statistics Syllabus for IIT JAM. All the sections will remain the same as the previous year.

Ques. What should I know as the basic mathematical concepts from IIT JAM Mathematics and Statistics Syllabus?

Ans. Many sections fall under this section such as functions, maxima, and minima, vectors, matrices, integrals, determinants, etc.

Ques. Which part is the most difficult part between Statistics and Mathematics in IIT JAM Syllabus?

Ans. If you study in a proper way no part will be difficult for you to score well.

Ques. Which section is the scoring one between Statistics and Mathematics in IIT JAM Syllabus?

Ans. As per the expert advice, you can score maximum from both the section Mathematics and Statistics but the syllabus covers 60% area of Statistics and 40% of Mathematics.

Ques. Can I give less importance to the Central limit theorem from the Statistics and Mathematics Syllabus in IIT JAM?

Ans. No, you cannot avoid this section as this is one of the most important parts of Statistics.

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

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