GATE 2025 Statistics Syllabus - Dwonload Syllabus PDF

GATE 2025 Statistics Syllabus - Dwonload Syllabus PDF

Edited By Team Careers360 | Updated on Dec 16, 2024 03:46 PM IST | #GATE
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GATE 2025 Statistics Syllabus: IIT Roorkee released the GATE Statistics syllabus 2025 on the official website gate2025.iitr.ac.in. Candidates can access the GATE Statistics 2025 syllabus on this page. The authorities release the GATE syllabus to provide candidates with the complete list of topics that must be prepared for the GATE exam. The GATE statistics syllabus comprises 10 chapters. Candidates must refer to the GATE 2025 ST syllabus and paper pattern to plan their preparation strategy. Moreover, the GATE Statistics question paper will based on topics mentioned in the syllabus. The GATE 2025 exam will be held on February 1, 2, 15 & 16, 2025. Read the complete article to know more about the GATE 2025 syllabus for statistics.
Direct link to download the GATE 2025 ST syllabus

This Story also Contains
  1. Best Books for GATE 2025 Statistics
  2. GATE 2025 Statistics Syllabus with Topic Wise Weightage
  3. GATE Statistics Syllabus 2025 Important Topics
  4. GATE 2025 Statistics Sample Paper
  5. GATE 2025 Statistics Mock Test
  6. GATE Statistics 2025 Cutoff
GATE 2025 Statistics Syllabus - Dwonload Syllabus PDF
GATE 2025 Statistics Syllabus - Dwonload Syllabus PDF

GATE 2025 Statistics Syllabus

The Indian Institute of Technology Roorkee has released the syllabus for GATE ST 2025 online. The GATE 2025 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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GATE Statistics Syllabus 2025

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.

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Best Books for GATE 2025 Statistics

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 2025 ST. Below is the list of the best books for GATE 2025 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

Also Read:

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GATE 2025 Statistics Syllabus with Topic Wise Weightage

Being aware of the GATE statistics syllabus with topic-wise weightage will help 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.

GATE Statistics Syllabus 2025 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%

GATE Statistics Syllabus 2025 Important Topics

There are a few topics that hold more weightage as compared to other topics. So, here we have given the list of important topics of the GATE Statistics 2025 syllabus. The GATE Statistics syllabus important topics 2025 will have more questions in the exam. Check the list of GATE Statistics syllabus 2025 important topics here.

S.No.

Calculus

1.

Probability

2.

Regression Analysis

3.

Linear Equations

4.

Estimation

GATE 2025 Statistics Sample Paper

Aspirants can practice the GATE Statistics sample paper 2025 for quick revision and self-assessment. The questions in the sample paper of GATE ST will be based on the exam syllabus. Candidates will get familiar with the exam difficulty level by solving the GATE 2025 statistics sample paper. Here we have provided the previous year GATE Statistics sample paper.

GATE 2025 Statistics Mock Test

IIT Roorkee will activate the GATE Statistics 2025 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 2025 will be based on the syllabus of GATE 2025. Hence, candidates should attempt this without fail.

GATE Statistics 2025 Cutoff

Candidates who will be appearing for the exam can check the GATE previous year's cutoff on this page. Knowing the cutoff of GATE Statistics will help 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)

1. What is the syllabus for GATE Statistics 2025?

The GATE 2025 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.

2. When a student should start preparing for GATE 2025?

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.

3. Is the GATE 2025 syllabus released?

Yes, the GATE 2025 Syllabus has been released on the official website.

4. When will the authorities release the GATE Statistics 2025 mock test?

IIT Roorkee will release the mock test of GATE 2025 for Statistics on the official website.

5. Is GATE 2025 branch-wise dates out?

No, IIT Roorkee will announce the GATE branch-wise dates 2025.

6. What is the GATE 2025 statistics exam date?

The authority will announce the date for the GATE ST 2025 exam. The GATE exam will be conducted on February 1, 2 ,15 & 16, 2025.

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Questions related to GATE

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For the Computer Science & Engineering (CSE) discipline, DRDO requires candidates to have at least a First Class Bachelor's Degree in Engineering or Technology specifically in Computer Science & Engineering or equivalent fields.

Your Bachelor of Technology (B.Tech.) degree is in Civil Engineering, it does not align with the required educational qualifications for the Computer Science & Engineering discipline as stipulated by DRDO. Therefore, even with a valid GATE score in Computer Science, you would not meet the eligibility criteria for DRDO's Scientist 'B' positions in the CSE discipline.

Your B.Tech. in Civil Engineering makes you eligible for DRDO positions in the Civil Engineering discipline, provided you have a valid GATE score in Civil Engineering.

Unfortunately, since you fall short of a very small percentage, you won't be able to qualify this time. You can consider getting admitted without a scholarship or retake the examination once again and improve your score and then do the MTech program along with a scholarship.

All the best

Hello Greetings

Here are some popular GATE exam books with answers:


GATE Study Materials

1. *GATE Exam Guide* by McGraw Hill Education - This book provides comprehensive coverage of the GATE syllabus, with solved examples and practice questions.

2. *GATE Tutor* by Arihant Publications - This book offers detailed explanations, solved examples, and practice questions for each subject.

3. *GATE Study Material* by Made Easy - This book provides in-depth coverage of the GATE syllabus, with solved examples, practice questions, and previous year's papers.


Subject-Wise Books

1. *GATE Mechanical Engineering* by R.K. Kanodia - This book provides detailed explanations, solved examples, and practice questions for Mechanical Engineering students.

2. *GATE Electrical Engineering* by S. K. Bhattacharya - This book offers comprehensive coverage of the Electrical Engineering syllabus, with solved examples and practice questions.

3. *GATE Computer Science and Information Technology* by Narsingh Deo - This book provides in-depth coverage of the Computer Science and Information Technology syllabus, with solved examples and practice questions.


Online Resources

1. *GATE Overflow*: A popular online platform providing GATE study materials, previous year's papers, and practice questions.

2. *GATE Academy*: Offers online GATE coaching, study materials, and practice questions.

3. *Unacademy*: Provides online GATE coaching, study materials, and practice questions.


Previous Year's Papers

1. *GATE Previous Year's Papers* by IIT Kharagpur - This book provides previous year's papers for GATE, along with solutions.

2. *GATE Previous Year's Solved Papers* by Arihant Publications - This book offers previous year's papers with detailed solutions.


You can find these books on online marketplaces like Amazon, Flipkart, or in local bookstores. Additionally, you can access online resources and previous year's papers on the official GATE website or other online platforms.

Have a great day

Hello Greetings

If there's a discrepancy in your photo ID number, specifically with 2 digits interchanged, you'll need to get it corrected. According to the GATE guidelines, if your application has been marked as "DEFECTIVE" due to incorrect photo ID information, you'll be intimated via email or SMS to rectify the issue ¹.


To resolve this, you can try the following options:


- *Contact the GATE Authorities*: Reach out to the GATE organizing committee or the zonal office for assistance. They may guide you on the necessary steps to correct the error.

- *Rectify the Defect*: If your application is marked as "DEFECTIVE," you'll be given a chance to rectify the error within a specified deadline. Make sure to upload the correct photo ID and update the information accordingly.

- *Check the GATE Website*: Keep an eye on the official GATE website for any updates or instructions on correcting errors in the admit card.


Remember to act promptly, as any delay might affect your ability to appear for the examination.

Have a great day

To study for the GATE PI (Production and Industrial Engineering) exam, you should primarily focus on the official GATE PI syllabus, referring to recommended textbooks refer these books

-Industrial Engineering- M. Mahajan(Dhanpat Rai & Co.), Statistical Quality Control(Dhanpat Rai & Co.)

-Production Engineering- PC Sharma( Production Engineering), PN Rao (Metal cutting & Machine Tools), NPTEL lectures( For Advance Machining Processes), Meteorology (Dhanpat Rai & Co.)

-General Engineering- PK Nag ( Thermodynamics & HMT), S. Ramamrutham, R. Narayanan or Ratan( SOM), VB Bhandari(TOM), Callister (material science)

-Mathematics & Aptitude- Previous year questions are enough for both Mathematics & Aptitude

Also go for previous year question papers, and taking mock tests.

INDIAN OIL , IOCL, ECIL, ONGC, HPCL, BPCL, NPCIL, BAARC, DRDO, etc. do not recruit Production & Industrial Engg. through gate.so you have to go for alternative options.


Like NTPC, BHEL,GAIL,MDL,VIZAG STEEL,SAIL recruit students of PI provided they appear through ME discipline in GATE.

MOREOVER,Check the latest GATE PI syllabus and exam pattern: before starting your preparation.

1.Focus on conceptual understanding: rather than just rote learning.

2.Regularly practice numerical problems: and solve previous year papers.

3.Stay updated on the latest PSU recruitment notifications: and their respective cutoffs.

GOOD LUCK!!!

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