GATE Statistics (ST) Syllabus 2024: PDF Download, List of Chapters and Topics

GATE Statistics (ST) Syllabus 2024: IISc Bangalore has released the GATE 2024 syllabus PDF for all the papers. Candidates who choose Statistics paper must refer to the official syllabus only to study for the exam. The GATE 2024 Statistics syllabus includes 10 sections namely Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Process, Estimation, Testing of Hypothesis, Nonparametric Statistics, Multivariate Analysis, and Regression. There will be a total of 65 questions asked in the GATE 2024 Statistical paper for 100 marks. Candidates who choose Statistics (ST) as their first paper are limited to choosing one of Mathematics (MA) or Physics (PH) as their second paper. 

IISc Bangalore will conduct the GATE 2024 exam on February 3, 4, and 10, 11, 2024. The GATE 2024 statistics paper will be held on February 11, 2024. As we approach towards exam, candidates should start attempting GATE mock test 2024 and GATE previous year papers after studying the syllabus to improve their time accuracy, analyze their performance and work on their shortcomings. 

Read the full post to check the GATE 2024 syllabus for Statistics, exam pattern and important topics. 

Section-Wise GATE Statistics Syllabus 2024

GATE 2024 Statistics syllabus includes 10 sections with numerous topics in them that students should well. To learn the complete syllabus of statistics, candidates must make sure they have a firm understanding of the essential theories and concepts, memorize key theorems and formulas, and solve various practical questions. Candidates can check the detailed GATE 2024 syllabus for Statistics given below. 

GATE Statistics Syllabus 2024 Section 1: Calculus 

 Finite, countable and uncountable sets; Real number system as a complete ordered field, Archimedean property; 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; 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; 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. 

GATE Statistics Syllabus 2024 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 and , Gram-Schmidt orthonormalization; Eigen values and eigen vectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skewHermitian, orthogonal, unitary matrices and their eigen values, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition. 

GATE Statistics Syllabus 2024 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. 

GATE 2024 Statistics Syllabus Section 4: Standard discrete and continuous univariate distributions

Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal. 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.   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, independence of random variables, functions of random vector and their distributions, simple correlation coefficient, joint moment generating function, 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.

GATE Statistics Syllabus 2024 Section 5: 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. 

Also Read: GATE 2024 Best Books for Preparation

GATE Statistics Syllabus 2024 Section 6: 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. 

GATE 2024 Statistics Syllabus Section 7: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, likelihood ratio tests, uniformly most powerful unbiased tests, uniformly most powerful unbiased tests for exponential families, large sample tests.

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GATE 2024 Statistics Syllabus Section 8: Non-parametric Statistics

Empirical distribution function and its properties, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, goodness of fit tests, chi-square test, MannWhitney U-test, rank correlation coefficients of Spearman and Kendall. 

GATE Statistics Syllabus 2024 Section 9: Multivariate Analysis

Multivariate normal distribution: properties, conditional and marginal distributions, Hotelling’s T 2 test, Wishart distribution and its basic properties, maximum likelihood estimation of mean vector and dispersion matrix, multiple and partial correlation coefficients and their basic properties. 

GATE Statistics Syllabus 2024 Section 10: 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 2024 Statistics Important Topics Weightage

The GATE 2024 syllabus for Statistics includes a number of topics with varying weights. There are certain GATE important topics 2024 that carry good weightage that students should study well for the exam. For the Statistics paper, we have provided the GATE2024 important topics list below.

Also Read: GATE 2024 Highest Scoring & Important Topics

GATE 2024 Exam Pattern for Statistics

The GATE exam pattern 2024 includes the sorts of questions on the test, the format, the number of questions, and other crucial information. The GATE 2024 Statistics Question Paper will be divided into two sections, General Aptitude, and Statistics. The General Aptitude section carries 15 marks for 10 questions, while the Statistics section has 85 marks for 55 questions. 

We hope that this post on GATE Statistics (ST) Syllabus 2024 was helpful and informative.