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GATE Statistics Syllabus
Graduate Aptitude Test in Engineering. The full GATE Statistics syllabus: 11 subjects, 72 chapters, 116 topics and 29 sub-topics, with 548 flashcards written against it.
GATE Statistics subjects
GATE Statistics has 11 subjects. Each one is listed below with its chapters in syllabus order; open a subject for every topic and sub-topic inside them.
Calculus
- Finite, Countable and Uncountable Sets · 1 topic
- Sequences of Real Numbers · 4 topics
- Series of Real Numbers · 4 topics
- Power Series and Radius of Convergence
- Functions of a Real Variable · 12 topics
- Functions of Several Real Variables · 11 topics
Matrix Theory
- Subspaces of a matrix · 3 topics
- Row Space and Column Space of a Matrix · 2 topics
- Trace and Determinant
- Inverse of a Matrix
- Systems of Linear Equations
- Inner Products in R^n · 1 topic
- Eigen Values and Eigen Vectors · 2 topics
- Symmetric, Skew-Symmetric, Hermitian, Skew-Hermitian, Orthogonal, Unitary Matrices and their Eigen Values · 3 topics
- Positive Definite and Positive Semi-Definite Matrices and their Properties · 1 topic
- Singular Value Decomposition
Probability
- Axiomatic definition of probability · 3 topics
- Random variables and their distributions · 10 topics
Standard discrete and continuous univariate distributions
- Bernoulli Distribution · 1 topic
- Binomial Distribution · 1 topic
- Geometric Distribution · 1 topic
- Negative Binomial Distribution · 1 topic
- Hypergeometric Distribution · 1 topic
- Discrete Uniform Distribution · 1 topic
- Poisson Distribution · 1 topic
- Continuous Uniform Distribution · 1 topic
- Exponential Distribution · 1 topic
- Gamma Distribution · 1 topic
- Beta Distribution · 1 topic
- Weibull Distribution · 1 topic
- Normal Distribution · 1 topic
Stochastic Processes
- Markov chains · 5 topics
- Poisson Process · 1 topic
- Birth-and-Death Process · 1 topic
- Pure-Birth Process · 1 topic
- Pure-Death Process · 1 topic
- Brownian Motion · 1 topic
Estimation
- Sufficiency · 1 topic
- Factorization Theorem · 2 topics
- Ancillary Statistic
- Basu’s Theorem and Its Applications
- Unbiased Estimation · 1 topic
- Rao-Blackwell Theorem
- Lehmann-Scheffe Theorem
- Cramer-Rao Inequality
- Consistent Estimators
- Method of Moments Estimators
- Method of Maximum Likelihood Estimators and Their Properties
Testing of Hypotheses
- Neyman-Pearson lemma · 1 topic
- Monotone likelihood ratio (MLR) property
- Uniformly most powerful tests · 1 topic
- Uniformly most powerful unbiased tests · 1 topic
- Likelihood ratio tests
- Large sample tests
Non-parametric Statistics
- Empirical distribution function and its properties · 2 topics
- Goodness of Fit Tests · 2 topics
- Sign Test · 1 topic
- Wilcoxon Signed Rank Test · 1 topic
- Mann-Whitney U-Test · 1 topic
- Rank Correlation Coefficients · 2 topics
Multivariate Analysis
- Multivariate normal distribution · 2 topics
- Maximum likelihood estimation of mean vector and dispersion matrix · 1 topic
- Hotelling’s T2 test · 1 topic
- Wishart distribution and its basic properties · 1 topic
- Multiple and partial correlation coefficients and their basic properties · 1 topic
Regression Analysis
- Simple and Multiple Linear Regression · 2 topics
- Distributions of Quadratic Forms of Random Vectors · 2 topics
- Tests for Regression Coefficients · 1 topic
General Aptitude
- Verbal Aptitude · 3 topics
- Quantitative Aptitude · 3 topics
- Analytical Aptitude · 1 topic
- Spatial Aptitude · 2 topics
GATE Statistics flashcards
548 question-and-answer cards across 11 subject decks, each shown in full on its subject page.
- Calculus — 50 cards
- Matrix Theory — 50 cards
- Probability — 51 cards
- Standard discrete and continuous univariate distributions — 50 cards
- Stochastic Processes — 50 cards
- Estimation — 50 cards
- Testing of Hypotheses — 49 cards
- Non-parametric Statistics — 50 cards
- Multivariate Analysis — 49 cards
- Regression Analysis — 49 cards
- General Aptitude — 50 cards
GATE Statistics syllabus FAQ
What subjects are in the GATE Statistics syllabus?
GATE Statistics covers 11 subjects: Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and General Aptitude.
How many chapters and topics are in the GATE Statistics syllabus?
72 chapters and 116 topics, broken down further into 29 sub-topics, across 11 subjects. Calculus is the largest subject, with 32 topics in 6 chapters.
Are there GATE Statistics flashcards?
Yes — 548 question-and-answer flashcards in 11 subject decks. Each deck is printed in full on its subject page here, and the same cards are in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.
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