IIT JAM 2025 MATHEMATICAL STATISTICS SYLLABUS

NATIONAL LEVEL ONLINE TEST

    IIT JAM Mathematical Statistics Syllabus 2023: Section-wise Syllabus PDF, Preparation Tips, Books

    Sachin Gupta Sachin Gupta
    Content Writer

    IIT JAM 2023 Syllabus for Mathematical Statistics 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 2023 Syllabus for Mathematical Statics from PDF link given below. Download IIT JAM Question Papers

    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. Check IIT JAM 2023 Exam Pattern

    Download IIT JAM 2023 Mathematical Statistics Syllabus PDF

    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 Preparation Tips

    Table of Contents

    1. IIT JAM Syllabus for Mathematical Statistics
    2. IIT JAM Mathematics Syllabus
    3. IIT JAM Statistics Syllabus 
    4. What are the Valuable Tips to Prepare IIT JAM Syllabus for Mathematics and Statistics?
    5. IIT JAM Mathematics and Statistics Exam Pattern
    6. Section Wise Marks Division
    7. IIT JAM Statistics and Mathematics Books for Preparation
    8. IIT JAM Syllabus for Mathematics and Statistics FAQ

    IIT JAM Syllabus for Mathematical Statistics

    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

    TopicsSubtopics
    Sequences and SeriesAll 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 CalculusIn 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 CalculusUnder 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
    MatricesFrom 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 

    ProbabilityThis 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 VariablesThere 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 DistributionsThis 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 DistributionsIn 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 TheoremsIn 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.
    EstimationThis 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 HypothesesHere 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 Mathematical 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
    Exam Pattern

    IIT JAM Mathematical Statistics Exam Pattern 2023

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

    ParticularsDetails
    Total Duration of the Test3 hours
    Total number of questions60
    Number of Section3 (Sec A, B and C)
    Question Type for the TestMCQ, MSQ and NAT
    Marks in Total100
    Marks Division

    Section Wise Marks Division

    SectionNumber of Questions in TotalQuestion Wise Marks DistributionMarks in Total
    Section A10110
    20240
    Section B10220
    Section C10110
    10220
    Preparation

    Quick Links: 

    IIT JAM Statistics and Mathematics Books for Preparation 2023

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

    SectionBook NameAuthor
    Mathematical StatisticsIIT-JAM: M.Sc. Mathematical Statistics Joint Admission TestAnand Kumar
    MathematicsA Complete Resource Manual M.Sc Mathematics Entrance examinationSuraj Singh and Reshmi Gupta
    Mathematical StatisticsFundamentals of Mathematical StatisticsS.C. Gupta and V K Kapoor
    Mathematical StatisticsIntroduction to Mathematical StatisticsHogg
    StatisticsAn Introduction to Probability and StatisticsVijay K. Rohatgi and A.K. Md. Ehsanes Saleh
    Mathematics and Statistics FAQ

    Also Check:IIT JAM Paper Analysis 

    IIT JAM Syllabus for Mathematical 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

    ×

    Comments

    Comments



    No Comments To Show