IIT JAM Mathematical Statistics Syllabus 2025: The IIT JAM Mathematical Statistics Exam 2025 is an important test for students who want to study advanced Mathematical Statistics at IITs. It will take place on February 2, 2025, with applications opening on September 3, 2025. This exam helps you get into various MSc programs, including MSc (Tech), MSc-MTech Dual Degree, and MSc-PhD.
To succeed, it's crucial to understand the syllabus, which focuses on key topics like Probability, Statistical Inference, and Stochastic Processes. This article covers everything you need to know about the IIT JAM Mathematical Statistics Syllabus for 2025, helping you get ready for this competitive IIT JAM 2025 exam.IIT JAM Mathematical Statistics Syllabus 2025 Overview | |
Particulars | Details |
Name of Examination | Indian Institute of Technology Joint Admission Test for MSc (Mathematical Statistics) |
Exam Conducting Body | IIT Delhi |
IIT JAM Mathematical Statistics Exam 2025 Date | 2 February 2025 |
Exam Types | Post-Graduate Degree Level |
Number of Questions | 60 questions |
Duration of Exam | 3 hours |
Language | English |
Exam Mode | Computer Based Test (CBT) mode |
Total Duration of the Test | 3 hours |
Exam Pattern |
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Question Type for the Test | MCQ, MSQ, and NAT |
Total Marks | 100 |
Negative Marks | Yes, except for Section C (NAT) |
IIT JAM Mathematics Syllabus 2025 | |
Topics | Key Concepts |
Sequences and Series | Convergence and limits, Cauchy sequences, infinite series, tests for convergence (comparison test, D’Alembert’s ratio test, etc.), power series. |
Differential Calculus | Limits, continuity, differentiability, Rolle's theorem, Taylor's theorem, maxima and minima, critical points, functions of two variables, partial differentiation. |
Integral Calculus | Fundamental theorems, improper integrals, Beta and Gamma integrals, double integrals, applications (arc lengths, areas, volumes). |
Matrices and Determinants | Vector spaces, properties of matrices, determinants, eigenvalues, row reduction, consistent/inconsistent systems of equations, Cramer’s rule. |
IIT JAM Statistics Syllabus 2025 | |
Topics | Key Concepts |
Probability | Random experiments, sample space, properties of probability, conditional probability, Bayes’ theorem, independence of events. |
Univariate Distributions | Random variables, cumulative distribution functions, standard distributions (Bernoulli, Binomial, Normal, etc.), moment generating functions. |
Multivariate Distributions | Joint and marginal distributions, independence, conditional distributions, covariance and correlation. |
Limit Theorems | Convergence in probability, weak law of large numbers, Central Limit Theorem, applications. |
Estimation | Unbiasedness, consistency, methods of estimation (maximum likelihood, method of moments), confidence intervals. |
Testing of Hypotheses | Null and alternative hypotheses, Type-I and Type-II errors, Neyman-Pearson lemma, likelihood ratio tests. |
IIT JAM Mathematical Statistics Exam Pattern 2025 | ||||||
Section | Type of Questions | Number of Questions | Marks per Question | Total Marks | Negative Marking | Duration |
A | MCQs | 30 | 1 mark (10 questions), 2 marks (20 questions) | 100 (30 marks) | Yes: 1/3 for 1 mark, 2/3 for 2 marks | 3 Hours (180 mins) |
B | MSQs | 10 | 2 marks | 20 | No | 3 Hours (180 mins) |
C | NATs | 20 | 1 mark (10 questions), 2 marks (10 questions) | 20 | No | 3 Hours (180 mins) |