GATE 2020 NEWS

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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**

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

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 |

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 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. |

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 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, 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 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 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 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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