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GATE 2020 Syllabus for Statistics - Download PDF

Last Updated - July 19, 2019

In the year 2019, Statistics was added as a new subject in GATE exam. GATE Statistics Syllabus consists of topics like Calculus, Linear Algebra, Probability, etc. GATE 2020 aspirants must go through the syllabus to prepare for the exam and ace it with ease.

  • GATE 2020 statistics paper will have a total of 65 questions of 100 marks.
  • Paper will have 2 types of questions- MCQs and Numerical Answer type. Questions will be carrying 1 and 2 marks.
  • GATE Statistics paper will have 8 topics and will be based on the difficulty level of graduation.
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Download GATE Statistics (ST) Syllabus PDF


GATE 2020 Syllabus for Statistics

Below given is a detailed syllabus of the GATE 2020 statics paper with all the main sections and core subjects.

Calculus

GATE 2020 Statistics aspirants should prepare calculus as it is one of the vast and important topics comprising of many theorems, derivatives, and series, etc.

Finite

Countable and uncountable sets

Real number system as a complete ordered field

Archimedean property

Sequences and series

Convergence

Limits

Continuity

Uniform continuity

Differentiability

Green’s theorem

Line integrals and Surface integrals

Gauss divergence theorem

Riemann integration

Improper integrals

Functions of two or three variables

Continuity

Directional derivatives

Partial derivatives,

Total derivative

Maxima and Minima

Saddle Point

Method of Lagrange’s Multipliers

Double and Triple integrals and their applications

Stokes’ Theorem

Linear Algebra

The questions from linear algebra may be tricky and difficult to solve but the GATE aspirant should prepare the syllabus to ace the exam.

Finite-dimensional vector spaces over real or complex fields.

Linear transformations and their matrix representations

Systems of linear equations

Eigenvalues and eigenvectors

Definite Forms

Gram- Schmidt Orthonormalization process

Orthogonal and Unitary Matrices

Minimal Polynomial

Cayley-Hamilton Theorem

Diagonalization

Jordan Canonical Form

Symmetric

Skew-symmetric

Hermitian skew- Hermitian

Finite-dimensional inner product spaces

Probability

Probability consists of means, variables, functions, distributions, etc. below given is the detailed topic with the subtopics.

Classical relative frequency and axiomatic definitions of probability

Conditional probability

Bayes’ theorem

Independent events

Random variables and probability distributions

moments and moment generating functions

Quantiles

Transformations of random variables

Sampling distributions

Distribution of order statistics and range

Random variables with the existence of higher-order moments.

Standard discrete and continuous univariate distributions

Probability inequalities (Chebyshev, Markov, Jensen)

Function of a random variable;

Jointly distributed random variable

Marginal and conditional distributions

Product moments

Joint moment generating functions

Independence of random variables

Characteristic functions

Modes of convergence

Weak and strong laws of large numbers

Central limit theorem for i.i.d.

Stochastic Processes

GATE 2020 consists of study with the random process of time and random variables. The question paper is set in a tricky manner.

Markov chains with finite and countable state space

Limiting behavior of n-step transition probabilities

Classification of states

Stationary distribution,

Poisson and birth-and-death processes.

Inference

Inference comprises of mostly Rules and Modus of inference. However, the GATE aspirant should be aware of the time and solve the questions in time.

Unbiasedness

Consistency

Sufficiency

Completeness

uniformly minimum variance unbiased estimation

Method of moments and maximum likelihood estimations

Confidence intervals

Tests of hypotheses

large sample test,

Sign test,

Wilcoxon signed-rank test,

Mann-Whitney U test,

Test for independence and Chi-square test for goodness of fit.

Most powerful and uniformly most powerful tests, likelihood ratio tests

Regression Analysis

Regression, polynomial and linear regression is a time taking topics. GATE aspirants must prepare for Regression analysis to qualify for the GATE exam.

Simple and multiple linear regression

Polynomial regression

Estimation

Confidence intervals and testing for the regression coefficient

Partial and multiple correlation coefficients.

Multivariate Analysis

Multivariate Analysis consists of a Machine Learning Algorithm and is considered to be one of the easiest programming languages. GATE aspirants must score well in this topic if they have prepared all the topics.

Basic properties of the multivariate normal distribution

Wishart distribution

Multinomial distribution

Hotelling's T2 and related tests;

Principal component analysis;

Discriminant analysis; Clustering.

Design of Experiments

Design of Experiment mainly focuses on the relationship between the output of the product and the factors affecting it. The candidate should use their practical knowledge to qualify for the exam.

One and two-way ANOVA, CRD, RBD, LSD, 2 power 2 and 2 power 3 Factorial experiments.

GATE 2020 Marks Distribution

GATE marks are distributed according to the guidelines formulated by the conducting body of the exam. GATE 2020 will be conducted by IIT Delhi. Below given are the marks for each question.

  • 25 questions will be carrying 1 mark each and 30 questions will be carrying 2 marks each.
  • Paper consists of both the MCQ and NAT Questions.
  • All of these questions equal to 55 questions of 85 marks.
  • Rest 10 questions comprise of 15 marks from the General Aptitude section.

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