GATE Application Date:28 Aug' 25 - 28 Sep' 25
GATE 2026 Statistics Syllabus: IIT Guwahati has released the GATE Statistics syllabus 2026 on the official website, gate2026.iitg.ac.in. Candidates can check the GATE Statistics 2026 syllabus pdf on this page. The GATE statistics syllabus comprises ten chapters. The authorities has released the GATE syllabus to provide candidates with the complete list of topics that must be prepared for the Graduate Aptitude Test in Engineering. Candidates must refer to the GATE 2026 ST syllabus and paper pattern to plan their preparation strategy. The GATE 2026 exam will be conducted on February 7, 8, 14 and 15, 2026.
Direct link to download the GATE 2026 Statistics Syllabus
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Moreover, the GATE Statistics question paper is based on topics mentioned in the syllabus. Read the complete article to know more about the GATE 2026 syllabus for statistics
GATE 2026 Statistics Syllabus
The Indian Institute of Technology Guwahati has released the syllabus for GATE ST 2026 online. The GATE 2026 syllabus includes topics such as Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and more. Candidates can follow the syllabus to prepare for the entrance test.
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Topics | Sub Topics |
Calculus | Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, Sequences of real numbers, convergence of sequences, bounded sequences, monotonic sequences, Cauchy criterion for convergence, Series of real numbers, convergence, tests of convergence, alternating series, absolute and conditional convergence, Power series and radius of convergence, Functions of a real variable: Limit, continuity, monotone functions, uniform continuity, differentiability, Rolle’s theorem, mean value theorems, Taylor’s theorem, L’ Hospital rules, maxima and minima, Riemann integration and its properties, improper integrals, Functions of several real variables: Limit, continuity, partial derivatives, directional derivatives, gradient, Taylor’s theorem, total derivative, maxima and minima, saddle point, method of Lagrange multipliers, double and triple integrals and their applications. |
Matrix Theory | Subspaces of span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace and determinant, inverse of a matrix, systems of linear equations; Inner products in and, Gram-Schmidt orthonormalization, Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal, unitary matrices and their eigenvalues, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition. |
Probability | Axiomatic definition of probability, properties of probability function, conditional probability, Bayes’ theorem, independence of events, Random variables and their distributions, distribution function, probability mass function, probability density function and their properties, expectation, moments and moment generating function, quantiles, distribution of functions of a random variable, Chebyshev, Markov and Jensen inequalities. |
Standard discrete and continuous univariate distributions | Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal. Jointly distributed random variables and their distribution functions, probability mass function, probability density function and their properties, marginal and conditional distributions, conditional expectation and moments, product moments, simple correlation coefficient, joint moment generating function, independence of random variables, functions of random vector and their distributions, distributions of order statistics, joint and marginal distributions of order statistics, Multinomial distribution, bivariate normal distribution, sampling distributions: central, chi-square, central t, and central F distributions. Convergence in distribution, convergence in probability, convergence almost surely, convergence in r-th mean and their inter-relations, Slutsky’s lemma, Borel-Cantelli lemma, Weak and strong laws of large numbers; central limit theorem for i.i.d. random variables, delta method. |
Stochastic Processes | Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary distribution, Poisson process, birth and death process, pure-birth process, pure-death process, Brownian motion and its basic properties. |
Estimation | Sufficiency, minimal sufficiency, factorization theorem, completeness, completeness of exponential families, ancillary statistic, Basu’s theorem and its applications, unbiased estimation, uniformly minimum variance unbiased estimation, Rao-Blackwell theorem, Lehmann-Scheffe theorem, Cramer-Rao inequality, consistent estimators, method of moments estimators, method of maximum likelihood estimators and their properties Interval estimation: pivotal quantities and confidence intervals based on them, coverage probability. |
Testing of Hypotheses | Neyman-Pearson lemma, most powerful tests, monotone likelihood ratio (MLR) property, uniformly most powerful tests, uniformly most powerful tests for families having MLR property, uniformly most powerful unbiased tests, uniformly most powerful unbiased tests for exponential families, likelihood ratio tests, large sample tests. |
Non-parametric Statistics | Empirical distribution function and its properties, goodness of fit tests, chisquare test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall. |
Multivariate Analysis | Multivariate normal distribution: properties, conditional and marginal distributions, maximum likelihood estimation of mean vector and dispersion matrix, Hotelling’s T2 test, Wishart distribution and its basic properties, multiple and partial correlation coefficients and their basic properties. |
Regression Analysis | Simple and multiple linear regression, R2 and adjusted R2 and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, GaussMarkov theorem, tests for regression coefficients, confidence intervals. |
GATE books are the best resources for the preparation of entrance tests. Candidates must be aware of the GATE Statistics syllabus to select the best book for GATE 2026 ST. Below is the list of the best books for GATE 2026 Statistics.
Book Name | Author Name |
The Foundations of Statistics | Leonard J. Savage |
Probability and Statistics | Murray R Spiegel, John J Schiller, and R Alu Srinivasan |
Miller and Freund’s Probability and Statistics For Engineers | Pearson |
GATE Statistics Practice Question Bank with Topic wise | Rajendra Dubey and Dr. Puneet Pasricha |
Matrix Theory | Joel Nick Franklin |
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Being aware of the GATE statistics syllabus with topic-wise weightage helps to secure a good rank in the exam. Knowing the syllabus weightage, candidates can prioritize the topics and manage their preparation strategy. While the topics with high weightage should be given priority, candidates must not neglect the remaining topics. GATE Statistics syllabus with topic weightage GATE exam analysis. Check the table for the GATE ST syllabus with topics-wise weightage.
Topics | Weightage |
Probability | 20% |
Calculus | 15% |
Multivariate Analysis | 10% |
Matrix Theory | 8% |
Stochastic Processes | 8% |
Estimation | 8% |
Testing of Hypotheses | 8% |
Regression Analysis | 8% |
There are a few topics that hold more weight as compared to other topics. So, here we have given the list of important topics of the GATE Statistics 2026 syllabus. The GATE Statistics syllabus important topics 2026 has more questions in the exam. Check the list of GATE Statistics syllabus 2026 important topics here.
S.No. | Calculus |
1. | Probability |
2. | Regression Analysis |
3. | Linear Equations |
4. | Estimation |
Aspirants can practice the GATE Statistics sample paper 2026 for quick revision and self-assessment. The questions in the sample paper of GATE ST are based on the exam syllabus. Candidates get familiar with the exam difficulty level by solving the GATE 2026 statistics sample paper. Here we have provided the previous year GATE Statistics sample paper.
GATE ST year-wise Sample Paper | GATE ST sample paper link |
IIT Guwahati will activate the GATE Statistics mock test link on the official website. No login credentials are required to attempt the GATE mock test for Statistics. The mock test is a replica of the actual exam. The questions in the GATE Statistics mock test 2026 are based on the syllabus of GATE 2026. Hence, candidates should attempt this without fail.
Candidates appearing for the exam can check the GATE previous year's cutoff on this page. Knowing the cutoff of GATE Statistics helps students have a rough idea of what marks are required to clear the exam.
GATE Subject | Qualifying Marks | Qualifying Score | ||||
Statistics (ST) | GEN | EWS/OBC | SC/ST/PwD | GEN | EWS/OBC | SC/ST/PwD |
25 | 22.5 | 16.6 | 350 | 268 | 57 | |
Frequently Asked Questions (FAQs)
Yes, the GATE 2026 Syllabus has been released on the official website, gate2026.iitg.ac.in.
IIT Guwahati will release the mock test of GATE 2026 for Statistics on the official website, gate2026.iitg.ac.in.
The GATE 2026 syllabus includes topics such as Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and more.
Start your preparation the moment you decide to get admission in an IIT or get a job at any PSU. As this exam is a gateway for your choices. So, start your preparation as early as possible.
On Question asked by student community
Hello
As an EEE (Electrical and Electronics Engineering) graduate, your core GATE paper is EE (Electrical Engineering).
You can also choose papers like IN (Instrumentation) or EC (Electronics and Communication) if you're comfortable. GATE now allows two-paper combinations EE plus IN is a valid pair.
Choose based on your strengths and future goals (e.g., PSU jobs, M.Tech). Always check the latest GATE brochure for updated paper codes and combinations.
How to clear GATE Exam :
First, know the syllabus and exam pattern.
Make a small study plan and follow it every week.
Read from good books or trusted online notes.
Practice old GATE question papers.
Give mock tests to check speed and accuracy.
Revise your notes and formulas again and again.
How to get Job in PSU:
Score high in GATE, because PSUs take only top ranks.
Keep checking PSU job notices regularly.
Apply on time with your GATE score.
Be ready for interviews or group discussions.
Work on subject knowledge and also your communication skills.
Yes, it will be acceptable. In GATE registration, the name should match your valid photo ID proof in terms of spelling, not the order. Many Indian IDs have surname written first, while the portal generates it as first–middle–last. Since all three parts of your name (Vikash, Rameshbhai, Bhagel) are correct, there won’t be any issue. Just ensure you upload the correct ID proof. During verification, they check spelling, photo, and signature, not the word order.
Hello,
Yes, you can change your category from General to OBC during the GATE 2026 correction window.
GATE always allows candidates to correct details like category. You will need to pay a small correction fee for this change. Make sure you upload a valid OBC certificate as per the format and date mentioned by GATE.
So, wait for the correction window, log in to your application, and update your category to OBC.
Hope it helps !
Hello! If you are preparing for GATE, there are plenty of free resources available online that can boost your preparation. You can easily access e-books, handwritten notes, subject wise PYQs, and test series shared by toppers on different platforms. Along with that, free PDFs and study material are available through various websites and Telegram channels. To make it easier, I will be attaching the link where you can find preparation tips, a study timetable, free study materials, and previous year question papers all in one place.
https://engineering.careers360.com/articles/gate-preparation-timetable
https://engineering.careers360.com/articles/how-to-prepare-for-gate
https://engineering.careers360.com/articles/gate-preparation-material
https://engineering.careers360.com/articles/gate-mock-test
https://engineering.careers360.com/articles/gate-question-papers
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