GATE 2025 Statistics Syllabus - Dwonload Syllabus PDF

GATE 2025 Statistics Syllabus - Dwonload Syllabus PDF

Edited By Team Careers360 | Updated on Feb 01, 2025 11:52 AM 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 pdf on this page. The authorities released the GATE syllabus to provide candidates with the complete list of topics that must be prepared for the Graduate Aptitude Test in Engineering. 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 is based on topics mentioned in the syllabus. The GATE 2025 exam is being 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
LiveGATE 2025 Answer Key LIVE: IITR GATE branch-wise response sheet at gate2025.iitr.ac.in soon; how to downloadFeb 23, 2025 | 6:10 AM IST

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GATE 2025 Statistics Syllabus

The Indian Institute of Technology Roorkee 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 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.

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 weight 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 has 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 are based on the exam syllabus. Candidates 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 activated 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 are based on the syllabus of GATE 2025. Hence, candidates should attempt this without fail.

GATE Statistics 2025 Cutoff

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)

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 released the mock test of GATE 2025 for Statistics on the official website.

5. Is GATE 2025 branch-wise dates out?

IIT Roorkee announced the GATE branch-wise dates 2025 is available online,

6. What is the GATE 2025 statistics exam date?

GATE ST 2025 exam date is February 16, 2025.

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Questions related to GATE

Have a question related to GATE ?

Hello there,

No, the Technical University of Munich (TUM) does not accept GATE scores for admission to its master's programs. TUM primarily evaluates applications based on academic performance (CGPA), GRE (for some programs), English/German language proficiency, and relevant experience.

However, some German universities do accept GATE scores for specific programs. If you are interested in TUM, check the exact admission requirements on their official website or consider applying to universities that accept GATE for MS programs in Germany.

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

Hello,


To prepare for the GATE exam, start by selecting the right subject based on your undergraduate degree. Understand the syllabus, exam pattern, and weightage of topics. Use standard reference books, NPTEL lectures, and online resources for conceptual clarity. Solve previous years’ papers and mock tests regularly to improve speed and accuracy. Focus on core subjects, engineering mathematics, and aptitude. Create a structured study plan and revise frequently. If needed, join coaching or online courses for expert guidance. Stay consistent, analyze mistakes, and work on weak areas. Time management and problem-solving skills are key to success.


https://engineering.careers360.com/exams/gate

To prepare for the GATE exam , begin by reviewing the syllabus for your subject. Gather reliable study materials , including standard reference books and previous years' question papers . Focus on building strong concepts , revising key formulas, and solving mock tests regularly. Develop a structured study plan , dedicating time to each topic. Enhance problem-solving skills and improve time management . Utilize online courses, coaching, or test series if necessary. Maintain consistency, revise frequently , and analyze your progress to strengthen weak areas for a better score.


If you haven't taken CUET, JAM, or GATE but still want to pursue an MSc in Data Science , consider applying to universities and colleges that offer admission based on your B.Sc. CS marks and may conduct their own entrance exams or interviews. Here are a few options to explore:


Central Universities:


Delhi University:

Offers MSc in Computer Science with a Data Science specialization, admissions are based on merit in your B.Sc. marks.


Jadavpur University:

Provides MSc in Data Science, with potential for admission based on merit and an interview.


Banaras Hindu University (BHU):

Offers MSc in Computer Science with a Data Science specialization, consider checking their admission criteria.


Private Universities:


Manipal Institute of Technology (MIT): Has a dedicated MSc in Data Science program with flexible admission criteria.

Christ University, Bangalore: Offers MSc in Data Science with a good reputation, check their admission process.

Amrita Vishwa Vidyapeetham: Provides MSc in Data Science, consider their merit-based admission.

State Universities:


University of Hyderabad:

Offers MSc in Computer Science with a focus on Data Science, check specific program details.


University of Pune:

Provides MSc in Computer Science with Data Science specialization, inquire about their admission process.


University of Madras:


Consider their MSc in Computer Science program for potential Data Science focus.


Important Points to Consider:


Check individual university websites:

Each institution has its own admission criteria, so carefully review their eligibility requirements and application process.


Contact the admissions office:

Reach out to the universities you are interested in to inquire about their admission process and if they offer any alternative pathways for admission without entrance exams.


Focus on your B.Sc. performance:

Ensure you have a strong academic record in your B.Sc. CS to enhance your application.


Highlight relevant skills:

Emphasize any data science skills you have acquired through projects, internships, or online courses in your application.


Prepare for potential interviews:

Some universities may conduct personal interviews as part of the admission process.


GOOD LUCK!!!

Hello

The expected GATE 2025 PSU cutoff will vary by discipline and PSU but will be similar to previous years . Based on past trends :

ONGC : Mechanical (850) , Electrical (800)

NTPC : Electrical (750) , Mechanical (800)

IOCL : Mechanical (700) , Civil (650)

HPCL/BPCL : 650-750 (varies by branch)

Factors Affecting Cutoff :

Number of vacancies .

Difficulty level of GATE .

Number of applicants .

hope this helps you .



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