{"id":585,"date":"2025-06-02T06:57:03","date_gmt":"2025-06-02T06:57:03","guid":{"rendered":"https:\/\/vedprep.com\/exams\/?p=585"},"modified":"2025-06-02T06:57:03","modified_gmt":"2025-06-02T06:57:03","slug":"iit-jam-mathematical-statistics-syllabus","status":"publish","type":"post","link":"https:\/\/www.vedprep.com\/exams\/iit-jam\/iit-jam-mathematical-statistics-syllabus\/","title":{"rendered":"IIT JAM Mathematical Statistics Syllabus 2025, Download Section-Wise Syllabus PDF"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">IIT JAM Mathematical Statistics Syllabus: Are you looking forward to pursuing MSc in Mathematical Statistics? The IIT JAM exam is a gateway to take admissions in top IITs and study MSc Mathematical Statistics. However, to prepare effectively for the exam, you need to have adequate knowledge regarding IIT JAM Mathematical Statistics Syllabus. This knowledge can help you prioritize topics efficiently.\u00a0<\/span><\/p>\n<h2><b>IIT JAM Mathematical Statistics Syllabus 2025\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">The basic purpose of<\/span> <span style=\"font-weight: 400;\">IIT JAM Mathematical Statistics Syllabus is to assess candidates&#8217; understanding on several IIT JAM Mathematical Statistics topics. The syllabus is designed to evaluate a candidate\u2019s conceptual knowledge. That\u2019s why understanding the syllabus thoroughly is crucial to succeed in the exam. The Mathematical Statistical paper gives 30% weightage to Mathematical concepts and 70% weightage to Statistical concepts. The syllabus covers wide topics including, Statistical Inference, Probability Theory, Calculus, Linear Algebra, Numerical analysis, Real Analysis etc.\u00a0<\/span><\/p>\n<h2><b>IIT JAM Mathematical Statistics Exam Pattern\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Understanding the IIT JAM Mathematical Statistics exam pattern is important. The three hour exam has 60 questions in total. These 60 questions are divided into three sections; A, B and C. attempting all sections is compulsory for candidates.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"3\"><b> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 IIT JAM Mathematical Statistics Exam Pattern\u00a0<\/b><\/td>\n<\/tr>\n<tr>\n<td><b> \u00a0 \u00a0 Sections\u00a0<\/b><\/td>\n<td><b>\u00a0 Type of Questions<\/b><\/td>\n<td><b>\u00a0 No of Questions\u00a0<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">A<\/span><\/td>\n<td><span style=\"font-weight: 400;\">MCQ<\/span><\/td>\n<td><span style=\"font-weight: 400;\">30<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">B<\/span><\/td>\n<td><span style=\"font-weight: 400;\">MSQ<\/span><\/td>\n<td><span style=\"font-weight: 400;\">10<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">C<\/span><\/td>\n<td><span style=\"font-weight: 400;\">NAT<\/span><\/td>\n<td><span style=\"font-weight: 400;\">20<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><b>Section-wise IIT JAM Mathematical Statistics Syllabus\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Below, is a breakdown of section-wise syllabus for Mathematical Statistics. This knowledge can help you get a good grasp on the topics.\u00a0<\/span><\/p>\n<h3><b>Section-wise Mathematical Topics\u00a0<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Sequence and Series<\/b><span style=\"font-weight: 400;\">: Cauchy Sequences and Convergences, Real number and sequences, Infinite series and convergences. Comparison test, limit comparison test, Cauchy\u2019s nth root test, Convergence of power series.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Differential Calculus of One and Two Variable Numbers<\/b><span style=\"font-weight: 400;\">: Properties of continuous and differentiable function, Rolle&#8217;s theorem and Lagrange&#8217;s mean value theorems, Taylor&#8217;s theorem with Lagrange&#8217;s remainders, global maxima and minima, critical points, local maxima and minima,, Lebnitz&#8217;s rule for successive differentiation.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Integral Calculus: <\/b><span style=\"font-weight: 400;\">Lebnitz&#8217;s rule and its applications,\u00a0 Fundamental theorems of integral calculus, Beta and Gamma integrals, Transformation of variables, Arc lengths, areas and volumes.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Metrics and Determinants: <\/b><span style=\"font-weight: 400;\">Vector spaces and real fields, Span of a set,\u00a0 Dimension and basis. Algebra of matrices. Orthogonal and Unitary matrices,\u00a0 Definition, properties and applications of determinants, Singular and non-singular matrices and their properties. Rank of a matrix, row and column rank. Characteristic roots and Characteristic vectors<\/span><\/li>\n<\/ul>\n<h3><b>Section-wise Statistical Topics\u00a0<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Probability: Probability theory, Sample space and algebra of events, Random experiments, Relative frequency, Geometric probability. Conditional probability and Multiplication rule. Pairwise and mutual independence of events.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Univariate Distribution: Random variables, Cumulative distribution function, Discrete variables, Continuous random variables, Probability mass function, Probability density function, Mathematical expectation and moments,\u00a0 Jacobian method, Mean, Median, Mode, Standard deviation, Quantiles, Quartiles,\u00a0 Kurtosis of a probability distribution.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Standard Univariate Distribution:\u00a0 Bernoulli, Binomial, Negative binomial, Exponential, Double exponential, beta and gamma. Normal and Cauchy distributions and its properties.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multivariate Distribution: Random vectors definition,\u00a0 Discrete and continuous type random vectors. Conditional c.d.f. conditional p.d.f. Mathematical expectation of functions of random vectors. Covariance and Correlation.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Standard Multivariate Distribution: Bivariate normal distribution, marginal and conditional distribution, limit theorems, Weak law of large numbers, Convergence in probability.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Sampling Distribution: Sampling distribution of a statistic, Random sample, parameter and statistic, Central Student&#8217;s t-distribution, Central Chi-square distribution<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Estimation:\u00a0 Sufficiency of statistics, Complete statistic, Factorization theorem, consistency and relative efficiency of estimators, ao-Blackwell and Lehmann-Scheffe theorems, method of maximum.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Testing of Hypothesis: Type-I and Type- II errors, Null and alternative hypotheses,\u00a0 Level of significance, critical region,\u00a0 Uniformly most powerful (UMP) tests.\u00a0<\/span><\/li>\n<\/ul>\n<h2><b>IIT JAM Mathematical Statistics Syllabus Download PDF\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">To get access to the entire IIT JAM Mathematical Statistics Syllabus, you can download the PDF from the official website <\/span><a href=\"https:\/\/jam2025.iitd.ac.in\/syllabus.php\" rel=\"nofollow noopener\" target=\"_blank\"><span style=\"font-weight: 400;\">JAM 2025 IIT Delhi Official Website<\/span><\/a><span style=\"font-weight: 400;\">. Section-wise Syllabus will be mentioned in the PDF. This helps you analyse the topics and align your preparation in a strategic order.\u00a0<\/span><\/p>\n<h2><b>IIT JAM Mathematical Statistics Best Books<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">You can get your hands on the best book for Mathematics to cover this section in the IIT JAM Mathematical Statistics syllabus. These books help you grasp all important topics in an easy way.\u00a0\u00a0\u00a0<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><b>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Book Name\u00a0<\/b><\/td>\n<td><b>\u00a0 \u00a0 Author\u00a0<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Mathematical Analysis<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Apostol\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Mathematical Analysis\u00a0<\/span><\/td>\n<td><span style=\"font-weight: 400;\">SC Malik\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Integral Calculus\u00a0<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Dr Gorakh Prasad<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Geometry and Vector Calculus<\/span><\/td>\n<td><span style=\"font-weight: 400;\">A.R. Vasishtha<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Schaum\u2019s Outlines Integral Calculus<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Frank Ayres, Elliott Mendelson<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><b>IIT JAM Mathematical Statistics Best Books\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">To prepare the Statistics section in IIT JAM Mathematical Statistics thoroughly, you need to have the best books for Statistics. These books can help you understand section-wise topics to start your preparation.\u00a0\u00a0<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><b> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Book Name\u00a0<\/b><\/td>\n<td><b> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Author\u00a0<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Introduction to the Theory of Statistics<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Alexander Mood, Franklin Graybill<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Fundamentals of Mathematical Statistics<\/span><\/td>\n<td><span style=\"font-weight: 400;\">S.C. Gupta and V K Kapoor<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><b>IIT JAM Mathematical Statistics Syllabus FAQ<\/b><\/p>\n<style>#sp-ea-586 .spcollapsing { height: 0; overflow: hidden; transition-property: height;transition-duration: 300ms;}#sp-ea-586{ position: relative; }#sp-ea-586 .ea-card{ opacity: 0;}#eap-preloader-586{ position: absolute; left: 0; top: 0; height: 100%;width: 100%; text-align: center;display: flex; align-items: center;justify-content: center;}#sp-ea-586.sp-easy-accordion>.sp-ea-single {margin-bottom: 10px; border: 1px solid #e2e2e2; }#sp-ea-586.sp-easy-accordion>.sp-ea-single>.ea-header a {color: #444;}#sp-ea-586.sp-easy-accordion>.sp-ea-single>.sp-collapse>.ea-body {background: #fff; color: #444;}#sp-ea-586.sp-easy-accordion>.sp-ea-single {background: #eee;}#sp-ea-586.sp-easy-accordion>.sp-ea-single>.ea-header a .ea-expand-icon { float: left; color: #444;font-size: 16px;}<\/style><div id=\"sp_easy_accordion-1748698859\">\n<div id=\"sp-ea-586\" class=\"sp-ea-one sp-easy-accordion\" data-ea-active=\"ea-click\" data-ea-mode=\"vertical\" data-preloader=\"1\" data-scroll-active-item=\"1\" data-offset-to-scroll=\"0\">\n\n\t<div id=\"eap-preloader-586\" class=\"accordion-preloader\">\n\t\t<img decoding=\"async\" src=\"https:\/\/www.vedprep.com\/exams\/wp-content\/plugins\/easy-accordion-free\/public\/assets\/ea_loader.svg\" alt=\"Loader image\"\/>\n\t<\/div>\n\t<!-- Start accordion card div. -->\n<div class=\"ea-card ea-expand sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-5860\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse5860\" aria-controls=\"collapse5860\" href=\"#\"  aria-expanded=\"true\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-minus\"><\/i> Does the syllabus for IIT JAM Mathematical Statistics change every year?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse collapsed show\" id=\"collapse5860\" data-parent=\"#sp-ea-586\" role=\"region\" aria-labelledby=\"ea-header-5860\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400\">The<\/span><b> IIT JAM Mathematical Statistics<\/b><span style=\"font-weight: 400\"> syllabus usually doesn't change. However, you can expect minor changes in the weightage given to each section. Any changes expected, will be notified on the official website of Indian Institute of Technology.\u00a0<\/span><\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-5861\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse5861\" aria-controls=\"collapse5861\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> What is the weightage given to each section in the IIT JAM Mathematical Statistics syllabus?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse5861\" data-parent=\"#sp-ea-586\" role=\"region\" aria-labelledby=\"ea-header-5861\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p><span style=\"font-weight: 400\">In<\/span><b> IIT JAM Mathematical Statistics <\/b><span style=\"font-weight: 400\">syllabus, 60% weightage is given to Statistics topics and 40% weightage is given to Mathematics topics.\u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-5862\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse5862\" aria-controls=\"collapse5862\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Is three month preparation enough to clear the IIT JAM Mathematical Statistics syllabus?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse5862\" data-parent=\"#sp-ea-586\" role=\"region\" aria-labelledby=\"ea-header-5862\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p><span style=\"font-weight: 400\">If you are making an ideal study plan and dedicating enough time to cover the entire IIT JAM Mathematical Statistics, three months preparation is good to clear this exam.\u00a0<\/span><\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-5863\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse5863\" aria-controls=\"collapse5863\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Do I have to concentrate on theorems for the IIT JAM Mathematical Statistics exam?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse5863\" data-parent=\"#sp-ea-586\" role=\"region\" aria-labelledby=\"ea-header-5863\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p><span style=\"font-weight: 400\">Yes, you need to cover all theorems in the IIT JAM Mathematical Statistics syllabus as they form an important part of the syllabus.\u00a0<\/span><\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<script type=\"application\/ld+json\">{ \"@context\": \"https:\/\/schema.org\", \"@type\": \"FAQPage\", \"mainEntity\": [{ \"@type\": \"Question\", \"name\": \"Does the syllabus for IIT JAM Mathematical Statistics change every year?\", \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"&nbsp; The<b>IIT JAM Mathematical Statistics<\/b>syllabus usually doesn't change. However, you can expect minor changes in the weightage given to each section. 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The IIT JAM exam is a gateway to take admissions in top IITs and study MSc Mathematical Statistics. However, to prepare effectively for the exam, you need to have adequate knowledge regarding IIT JAM Mathematical Statistics Syllabus. This knowledge can help you prioritize topics efficiently.\u00a0<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","rank_math_seo_score":82},"categories":[23],"tags":[],"class_list":["post-585","post","type-post","status-publish","format-standard","hentry","category-iit-jam","entry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/585","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/comments?post=585"}],"version-history":[{"count":3,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/585\/revisions"}],"predecessor-version":[{"id":601,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/585\/revisions\/601"}],"wp:attachment":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/media?parent=585"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/categories?post=585"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/tags?post=585"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}