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Table of Contents
GATE Statistics Syllabus 2023: Important Topics, Weightage, Exam Pattern, QuestionPapers, and Books
GATE Statistics Syllabus 2023 consists of 9 different sections, Calculus, Matrix Theory, Probability, Stochastic process, Estimation, Testing of hypothesis, Nonparametric Statistics, Multivariate Analysis and Regression Analysis. The syllabus includes all the major topics of the graduate level but does not include Engineering Mathematics as a topic.The most important Topic in the GATE Statistics Syllabus is Probability as it comprises almost 20% of the total weightage in the GATE Paper. The weightage of the core syllabus is 85% and the remaining 15% is of General Aptitude. Check GATE 2023 Exam Pattern.
GATE 2023 is scheduled for February 4, 5, 11, and 12, 2023. GATE 2023 Statistical Paper would have 65 questions totalling 100 marks.Candidates with Statistics (ST) as their first paper can only opt one paper from either Mathematics (MA) or Physics (PH) as their second paper. However, it is not mandatory that you have to appear for 2 papers.
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GATE Statistics Syllabus 2023
GATE Statistics Syllabus 2023 consists of 9 different sections, they are : Calculus, Matrix Theory, Probability, Stochastic process, Estimation, Testing of hypothesis, Non parametric Statistics, Multivariate Analysis and Regression Analysis. The detailed syllabus for which is given below-
Section 1: 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.
Section 2: Matrix Theory
- Subspaces of Rnn and Cnn, 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 Rnn and Cnn, 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.
Section 3: 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.
Section 4: 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.
Section 5: 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.
Section 6: 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.
Section 7: Non-parametric Statistics
- Empirical distribution function and its properties, goodness of fit tests, chi-square test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall.
Section 8: 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.
Section 9: Regression Analysis
- Simple and multiple linear regression, R2 and adjusted R2 and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, Gauss-Markov theorem, tests for regression coefficients, confidence intervals.
GATE Statistics Syllabus 2023 : Weightage of Important Topics
By the Previous Year GATE Chemistry Paper Analysis, the general trend in the GATE Statistics exam in terms of the weightage of the different subjects is given below.
| Important Topics | Weightage in terms of Question asked |
|---|---|
| Calculus | 15 |
| Probability | 20 |
| Multivariate Analysis | 10 |
| Linear Equations | 15 |
| Matrix Theory | 8 |
| Estimation | 8 |
| Stochastic process | 8 |
| Testing of Hypotheses | 8 |
| Regression Analysis | 8 |
Must Read:
GATE Statistics Syllabus 2023: Exam Pattern
GATE marks are distributed according to the guidelines formulated by the conducting body of the exam. While preparing for GATE ST, candidates should have good knowledge about GATE Exam Pattern.The salient features of the Exam pattern are as following - Read More aboutGATE Exam Pattern
- Mode of Examination: Online
- Duration of Exam: 3 hours
- Types of questions: MCQs and NATs (Numerical Answer Type)
- Total Sections: 3 Sections – General Aptitude, Mathematics and Subject-based
- No. of questions: 65 questions
- Total marks: 100 marks
- Negative marking: Only for MCQs
| Section | Distribution of Marks | Total Marks | Types of questions |
|---|---|---|---|
| General Aptitude |
| 15 marks | MCQs |
| Statistics |
| 85 marks | MCQs and NATs |
GATE 2023 Marking scheme:
- Total Marks: 100 marks
- Negative Marking: For MCQs only
| Type of question | Negative marking for wrong answer |
|---|---|
| MCQs | ⅓ for 1 mark questions ⅔ for 2 marks questions |
| NATs | No negative marking |
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GATE Statistics Syllabus 2023: Preparation
The GATE Statistics includes a lot of lengthy and complex calculations, so here are a few reference books, previous year papers and sample questions to help a student. Students can also refer to GATE Preparation Tips to learn more about GATE Preparation Strategy.
1. Practice Papers and Mock Tests
- Practice Papers: With the help of papers of previous years or model test papers candidates can get an idea about the weightage of the questions, type of questions, important topics, etc. Candidates are advised to solve the questions from previous years' papers after completion of each topic.
- Mock Tests: Mock Tests are online tests and they give the feel of the real exam. you can check your level of preparation, accuracy, and speed while attempting the mock test. Candidates are suggested to go for the mock test only after the completion of whole syllabus.
Download GATE Previous Years Papers
2. Video Lectures
Candidates can attend online video lectures from experts. This will help you in clearing the concepts. You can fix a day in your time table to watch a few video lectures. No need to do it on a regular basis.
3. Daily Revision & Making Notes
- Daily revision is very helpful in remembering all the important points or formulas.
- Candidates should devote 2-3 hours daily for revision of all the important topics that they have covered.
- To make revisions easy, you can make notes for revision.
- These notes should have all the important tricks, tips, formulas, etc.
4. Follow a Time Table
- Candidates following a time table can easily cover all the topics.
- Time Table provide a routine to candidates.
| Time Table | Activities |
|---|---|
| 5:00 AM to 8:00 AM | Revision from Notes |
| 8:00 AM to 10:00 AM | Take a Break |
| 10:00 AM to 1:00 PM | Start a New Topic |
| 1:00 PM to 5:00 PM | Take a Break |
| 6:00 PM to 9:00 PM | Complete the topic/ Go through the same topic again |
| 10:00 PM | Write down important points covered in the day and sleep early |
5. Do’s and Don’ts of Preparation
- Do not overdo with preparations. Take frequent breaks as well.
- Initially, when you will begin your preparations, you won’t be able to score much in mock tests or solve many questions correctly. Do not get de-motivated because of it. It is just the indication of the level you are at. Analyze your weak areas and master them.
- Do not compare your progress & preparation with your classmates or friends. You have your own skills, strategies, plans and speed. Comparing will never help. So just focus on improving yourself.
- Do not lose track of your goal. It is very important to stay focused on your goal till the end. You may have a bad day, but do not lose track.
- Do not compromise your health. Health is very important. So, take proper care of yourself.
Important Books for GATE Statistics Syllabus 2023
| Title of the book | Name of the Author/ Publication |
|---|---|
| Programmed Statistics (Question-Answers) | B.L. Agarwal |
| Miller and Freund’s Probability and Statistics For Engineers | Pearson |
| Introduction to Methods of Numerical Analysis | S.S. Sastry |
| An Introduction to Multivariate Statistical Analysis | T.W. Anderson |
| Matrix Theory | Joel Nick Franklin |
| Stochastic Processes | Seldon M. Ross |
| Theory of Estimation | Erich L. Lehmann |
Check Out:
| Best Books for GATE Preparation | GATE 2023 Practice Papers |
GATE Statistics Previous Year Question Papers and Answer Keys
GATE conducting authorities release the Question paper for the year and the respective GATE Answer Key for all 27 papers after all the exams for the year have been concluded.Going through previous years GATE question paper gives an insight into the important topics from GATE Syllabus. Given below are the links to download the previous year GATE Question Paper from 2021, 2020 and 2019
| Year | GATE Question paper | Answer Key |
|---|---|---|
| 2021 | Download | Download |
| 2020 | Download | Download |
| 2019 | Download | Download |
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GATE Statistics Syllabus 2023: Sample Questions
- Sample Question 1: A fair die is rolled two times independently. Given that the outcome on the first roll is 1, the expected value of the sum of the two outcomes is _____________?
- Sample Question 2: Let A be a 6 × 6 complex matrix with A 3 ≠ 0 and A 4 = 0. Then the number of Jordan blocks of A is ___________?
- Sample Question 3: Let X1, ... , Xn be a random sample drawn from a population with probability density function f(x; θ) = θx θ−1, 0 ≤ x ≤ 1, θ > 0. Then the maximum likelihood estimator of θ is ______________?
Quick Links:
| GATE Top M Tech College Cutoff | GATE FAQs |
GATE 2023 Syllabus Of Other Subjects
Tabulated below is the syllabus of other subjects of GATE 2023 that students may refer to.
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GATE Statistics Syllabus 2023 : FAQ
Ques. Do I need to prepare for the Engineering Mathematics section while preparing for the GATE Statistics syllabus 2023?
Ans: No. There is no need to prepare for the Engineering Mathematics section if you are preparing for the GATE Statistics syllabus 2023 because engineering mathematics is not part of the Statistics syllabus. Although, you have to focus on the general aptitude section which is common for all the disciplines of GATE and core subject syllabus only.
Ques. What are the major topics that I need to cover in the GATE Statistics syllabus 2023?
Ans: The major topics that you need to cover in GATE Statistics syllabus are mentioned below:
- General Aptitude
- Calculus
- Linear Algebra
- Probability
- Stochastic Processes
- Inference
- Regression Analysis
- Multivariate Analysis
- Design of Experiments
Ques. What will be the weightage of important sections in GATE Statistics syllabus 2023?
Ans: The weightage of section is mentioned below:
- General Aptitude – 15%
- Statistics Syllabus (All Topics) – 85%
This means out of 65 questions 10 questions will be asked from General aptitude and remaining 55 questions from core subject syllabus.
Ques. Which books are best for GATE Statistics syllabus 2023?
Ans: The best books are:
| Title of the book | Name of the Author/ Publication |
|---|---|
| Programmed Statistics (Question-Answers) | B.L. Agarwal |
| Miller and Freund’s Probability and Statistics For Engineers | Pearson |
| Introduction to Methods of Numerical Analysis | S.S. Sastry |
| An Introduction to Multivariate Statistical Analysis | T.W. Anderson |
| Matrix Theory | Joel Nick Franklin |
| Stochastic Processes | Seldon M. Ross |
| Theory of Estimation | Erich L. Lehmann |
Ques. Which is the most important topic in the GATE Statistics Syllabus 2023?
Ans. The most important Topic in the GATE Statistics Syllabus is Probability as it comprises almost 20% of the total weightage. Calculus is the next important topic with 15% weightage.
Ques. What is the GATE 2023 Statistics Exam Pattern?
Ans. The GATE Statistics Exam Pattern is as follows:
| Section | Distribution of Marks | Total Marks | Types of questions |
|---|---|---|---|
| General Aptitude |
| 15 marks | MCQs |
| Statistics |
| 85 marks | MCQs and NATs |
Ques. Is there any negative marking for GATE 2023 numerical answer type questions in GATE Statistics Syllabus 2023?
Ans. No, there is no negative marking for numerical answer type questions asked in GATE Statistics Syllabus.MCQs do have negative marking as ⅓ for each 1 Marks question and ⅔ for each wrong 3 marks question
Ques. What is the negative marking for a wrong answer for the 1-mark question in GATE 2023?
Ans. A candidate will lose ⅓ marks for every wrong answer to the 1-mark question in GATE 2021.
Ques. What is the subject code for GATE Statistics?
Ans. The paper code for GATE Statistics is ST. Candidates with Statistics (ST) as their first paper can only opt for one paper from either Mathematics (MA) or Physics (PH) as their second paper. However, it is not mandatory that you have to appear for 2 papers
Ques. What are the sub-topics included in the Matrix Theory of the GATE Statistics Syllabus 2023?
Ans. The sub-topics included in the Matrix Theory of the GATE Statistics Syllabus 2023 are:
- Subspaces of Rnn and Cnn, 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 Rnn and Cnn, 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.
GATE 2025 : 20 Answered QuestionsView All
Ans. An MS from IIT Kanpur is considered to be a highly respected and prestigious degree. The MS program at IIT Kanpur is reputed for its focus on excellent research and its strong focus on practical, hands-on learning. As an MS student, you get to work with some of the most experienced and respected scholars and researchers in their fields, which gives an insight into the latest industry developments and trends. Additionally, not being located near metropolitan areas, IIT Kanpur gives a peaceful learning environment and students don’t spend much time partying or clubbing. Although it is a 2-year program, with the right determination one can complete it in 18 months also. If you are true to your passion you can also complete a Ph.D. under an experienced thesis advisor and won’t have to go to a foreign university for a Ph.D. Overall, an MS from IIT Kanpur is a valuable and highly esteemed program that offers many opportunities in terms of career and professional advancement. Although it is challenging, the learning experience is worth the effort. Read more
Ans. Andhra University M.Tech admission is done in two ways, i.e. through GATE and through AP PGECET. To get admission, you need to have a valid GATE score or you need to score a valid rank in AP PGECET. Soon, Andhra University will release the notification for AP PGECET. Here are the tentative dates. Event Tentative dates Notification release date Second week of July 2022 Application form available Second week of July 2022 Admit card release date Second week of September 2022 Exam date Third week of September 2022 Result Second week of October 2022 Andhra University will release the application form online. Visit the official website of the institute regularly to get the updated information. Read more
Ans. Many GATE toppers leave PSU and join NITIE, instead of IITs because it offers better placements. Usually, students with good scores join ONGC, NTPC, BHEL, IOCL, and others. Despite the good salary, PSU jobs can get monotonous after a few years. So, the top rankers start looking for better career options. If they wish to do an MBA, they need to prepare for CAT. Some do prepare for CAT, but many join NITIE as it is an easier option. NITIE takes admission through GATE and the GATE score is valid for 3 years. So, they can easily get admission based on their GATE score. Also, the institute has a great placement record. During the NITIE Mumbai placement in 2022, the average CTC offered was INR 25.41 LPA. The video below will convince you further to join NITIE Mumbai Overall, its the excellent opportunities offered by NITIE that makes mant GATE toppers leave PSU and join NITIE Read more
Ans. Here are some strategies that can help you prepare for GATE and ESE simultaneously. Compare the syllabus of GATE and ESE. Go through the previous years' questions of both. The technical portion of both examinations overlaps a lot. The major difference is question patterns and styles. Different types of questions are asked on the same topics. GATE tests aptitude for solving technical questions. While ESE puts more emphasis on technical details. Figure out which subjects contribute more to which examinations. If you have less time, start with GATE preparation. The topics can be covered easily and in less time. Once you are through GATE preparation, you can solve ESE questions without much difficulty. Focus on GATE and ESE preparations only. First, go through the syllabus thoroughly. Once you are done with the syllabus, go through your notes and solve previous years' questions. Solve test series, and review hard questions. Analyze the tests you give and work on your mistakes. Read more
Ans. GATE consists mostly of numerical questions. It tests the aptitude for solving questions in less time. BITS HD papers have 10-15 numerical questions usually. The numerical questions aren’t on the same level as GATE and are just formula-based problems. Usually, around 80-90% of BITS HD questions are theory oriented. You need to have a good grasp of your engineering subjects to score well in BITS HD. The questions can come from anywhere in the syllabus. BITS HD usually consists - 15 Mathematics questions (difficulty usually higher than GATE) 15 general English questions 70 Engineering discipline questions Also, note that BITS take admission based on GATE scores as well. Read more
Ans. The required GATE rank depends upon various parameters like The engineering branch Company (PSU) Number of vacancies for the stream People who are graduating in 3-4 years are lucky as both IOCL and ONGC are planning to recruit in bulk because of massive retirements in both the companies. The mechanical and chemical branches are expected to have the most vacancies. Candidates will be called in a 1:5 ratio and thus, interviews will be the major determining factor of your selection. If you are unable to showcase your knowledge and talent during the interview, even a single-digit rank cannot guarantee your admission. A minimum of 40% marks are required to pass the interview. So if you get a call for the interview, don’t let your rank discourage you or even make you overconfident. Read more
Ans. Sikkim Manipal University has been ranked at 17 for Private Engineering by India Today in 2020. The largest department within the institution is the CSE department and it has also won the best department in SMIT multiple times. Admissions: Class 12th with mandatory subjects in Physics, Maths, Chemistry/computer science/biology is the prerequisite for admission to CSE at Sikkim Manipal. SMIT online, MET, JEE Mains is the examinations accepted for BTech admission. The total intake for CSE is 180 and the course fee is 12.20 lakhs. Curriculum: The University offers a well-structured and detailed curriculum with exposure to major areas of computer science like Big data analytics, robotics, cloud computing, ethical hacking, and more. The course structure focuses on providing students with knowledge of the core subjects of computer science in order to strengthen their foundation and make them industry-ready. Faculty: The university has 33 highly experienced and qualified faculties for CS. The faculty members also conduct seminars and workshops with esteemed institutions like ISRO, IIT, and TIFR. Infrastructure: The University offers a great infrastructure for the CSE department as it receives funding from two highly esteemed agencies, AICTE and ISRO. There are nine state-of-the-art practical labs like the Networking lab, digital circuit and microprocessor labs, GIS and remote sensing lab, advanced programming lab, and more. It also has a huge library with over 2500 journals and books dedicated to the CSE branch. It has been updated with modern facilities and infrastructure all across the campus in order to provide students with the best experience. Placements: AGS Infotech, Amazon, Britannia, Cipla, Capgemini are some of the major recruiters at the institute. Placement Rate within CSE 92.5% Lowest CTC 3.5 LPA Average CTC 5 LPA Highest CTC 18 LPA Sikkim Manipal University is a great option for students who want to pursue a BTech degree program in the CSE department. Read more
Ans. It depends on your career goals. GATE offers more options for engineering students. It is an all-around examination. You can go for MTech, PSUs, MS, and FRM. If you want more options, GATE will be better for you. If you want to do an MBA, after graduation, CAT will be the better option. Almost all top B-Schools accept CAT scores for MBA. Read more
Ans. IIT Roorkee admission 2023 hasn’t been wrapped up yet, hence its GATE cutoff too hasn’t been released as of now. M.Tech admission process of IIT Roorkee is conducted on the basis of the GATE cutoff, and all the candidates applying for admission into the M.Tech course under the non-sponsored category will be required to clear the cutoff for admission. The cutoff scores for M.Tech admission at IIT Roorkee for 2022 and 2021 have not been disclosed by the admission authority. Let’s consider GATE 2020 cutoff for a slight idea. Category GATE 2020 Cutoff General 77.1 EWS 79.1 OBC 72.32 SC 58.62 ST 61.33 Read more
Ans. First of all, admission to the IIT Roorkee MTech program is not given on the basis of GATE rank. The final shortlisting is done on the basis of Normalized GATE marks were used which is calculated by IIT Roorkee as follows: Normalized GATE marks = Normalized marks out of 100 or Marks*100\Maximum marks awarded in the paper that year For example if a candidate has scored 64 marks and the maximum marks given that year are 92, the Normalized GATE marks are 64*100/92=69.57. The table below comprises the expected GATE 2023 cut-off for IIT Roorkee based on the previous year's cut-off trends. MTech Course Cutoff Alternate Hydro Energy Centre 760-839 Architecture & Planning 650-844 Biotechnology 570-577 Civil Engineering 656-780 Chemical Engineering 650-657 Computer Science & Engineering 840-844 Disaster Mitigation & Management 700-710 Electronics and Communication Engineering 736-750 Electrical Engineering 760-779 Mechanical and Industrial Engineering 748-785 Read more
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College
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