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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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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.

 FiniteCountable and uncountable setsReal number system as a complete ordered fieldArchimedean propertySequences and seriesConvergenceLimitsContinuityUniform continuityDifferentiabilityGreen’s theoremLine integrals and Surface integralsGauss divergence theorem Riemann integrationImproper integralsFunctions of two or three variablesContinuityDirectional derivativesPartial derivatives,Total derivativeMaxima and MinimaSaddle PointMethod of Lagrange’s MultipliersDouble and Triple integrals and their applicationsStokes’ 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 representationsSystems of linear equationsEigenvalues and eigenvectorsDefinite FormsGram- Schmidt Orthonormalization processOrthogonal and Unitary Matrices Minimal PolynomialCayley-Hamilton TheoremDiagonalizationJordan Canonical FormSymmetricSkew-symmetricHermitian skew- HermitianFinite-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 probabilityConditional probabilityBayes’ theoremIndependent eventsRandom variables and probability distributionsmoments and moment generating functionsQuantilesTransformations of random variablesSampling distributionsDistribution of order statistics and rangeRandom variables with the existence of higher-order moments. Standard discrete and continuous univariate distributionsProbability inequalities (Chebyshev, Markov, Jensen)Function of a random variable;Jointly distributed random variableMarginal and conditional distributionsProduct momentsJoint moment generating functionsIndependence of random variablesCharacteristic functionsModes of convergenceWeak and strong laws of large numbersCentral 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 spaceLimiting behavior of n-step transition probabilities Classification of statesStationary 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.

 UnbiasednessConsistencySufficiencyCompletenessuniformly minimum variance unbiased estimationMethod of moments and maximum likelihood estimationsConfidence intervals Tests of hypotheseslarge 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 regressionPolynomial regressionEstimation Confidence intervals and testing for the regression coefficientPartial 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 distributionWishart distributionMultinomial 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 ANOV A, 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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