# GATE 2019 Statistics (ST) Syllabus and Exam Pattern

IIT Madras, the GATE 2019 conducting body has released GATE 2019 exam schedule, eligibility criteria, registration details, Subject wise syllabus and other information. Statistics Subject (ST) is recently added as a new subject for exam by GATE 2019 conducting authority. GATE 2019 Statistics Syllabus is new and has been introduced for the very first time. Thus, you can view the syllabus properly with the exam pattern explained below and prepare accordingly.

GATE (Graduate Aptitude Test in Engineering), a national level examination,  is a qualifying exam for admissions to post-graduate programs like M. Tech/M.S/Direct PhD in IISc / IITs / NITs. GATE scores may also be used by several public sector undertakings recruitment (i.e. like GAIL, Indian Oil, Hindustan Petroleum etc.), not only admissions but GATE will give you scholarships during ME/M.Tech programmes.

IIT Madras will conduct GATE 2019 in online mode on February 2, 3, 9 and 10, 2019 for 24 papers. Statistics (ST) is added as new paper along with 23 regular subjects. GATE 2019 will be conducted across 200 Indian cities and six cities abroad.

On this page, candidates will be able to check the GATE 2019 Statistics Syllabus. However, this year the Statistics Subject is being conducted for the first time, type of questions that will be asked is uncertain. But, the GATE exam pattern of Statistics subject will remain as usual.

### GATE 2019 Statistics Syllabus

 Section Core Topics Calculus Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property; Sequences and series, convergence; Limits, continuity, uniform continuity, differentiability, mean value theorems; 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; Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem. Linear Algebra Finite dimensional vector spaces over real or complex fields; Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton Theorem, diagonalization, Jordan canonical form, symmetric, skew-symmetric, Hermitian, skew- Hermitian, orthogonal and unitary matrices; Finite dimensional inner product spaces, Gram- Schmidt orthonormalization process, definite forms. Probability 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; Standard discrete and continuous univariate distributions; Probability inequalities (Chebyshev, Markov, Jensen); Function of a random variable; Jointly distributed random variables, marginal and conditional distributions, product moments, joint moment generating functions, independence of random variables; Transformations of random variables, sampling distributions, distribution of order statistics and range; Characteristic functions; Modes of convergence; Weak and strong laws of large numbers; Central limit theorem for i.i.d. random variables with existence of higher order moments. Stochastic Processes Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary  distribution, Poisson and birth-and-death processes Inference Unbiasedness, consistency, sufficiency, completeness, uniformly minimum variance unbiased estimation, method of moments and maximum likelihood estimations; Confidence intervals; Tests of hypotheses, most powerful and uniformly most powerful tests, likelihood ratio tests, large sample test, Sign test, Wilcoxon signed rank test, Mann-Whitney U test, test for independence and Chi-square test for goodness of fit. Regression Analysis Simple and multiple linear regression, polynomial regression, estimation, confidence intervals and testing for regression coefficients; Partial and multiple correlation coefficients. Multivariate Analysis Basic properties of multivariate normal distribution; Multinomial distribution; Wishart distribution; Hotellings T2 and related tests; Principal component analysis; Discriminant analysis; Clustering. Design of Experiments One and two-way ANOVA, CRD, RBD, LSD, 2 power 2 and 2 power 3 Factorial experiments

### GATE 2019 Statistics Exam Pattern

The most important and prior step is to go through the exam pattern for the same. Now that you have the GATE 2019 Statistics Syllabus, let us check the GATE exam pattern for this newly introduced exam paper. It is recommended to go through it thoroughly and then plan the study schedule according to the weightage of different topics.

The GATE examination for Statistics subject will be in the online mode only. GATE 2019 Statistics paper will have 65 total questions of 100 marks. There will be 2 types of questions – MCQs and Numerical Answer Type (NAT).  And there will be questions carrying 2 marks and 1 marks.

 TOPICS MARKS DISTRIBUTION Total Marks 100 marks Total Questions 65 questions Time Duration 3 hours

It consists of basically two type of questions namely

1. Multiple Choice Questions which are objective type questions each having 4 choices of answers. They are of 1 or 2 marks in all Sections. It also includes negative marking. Hence, for each correct answer 1 mark will be added and for each incorrect answer 0.33 mark will be deducted and for each 2 marker question correct answer gives 2 marks and incorrect answer deducts 0.66 marks.
2. Numeric Answer Questions are different from Previous MCQs. They do not include any choices they have answers which are real numbers which are to inserted by virtual keypad appeared on the monitor via mouse. They also carry 1 or 2 marks in different sections. No negative marking is there for the same.

### Marks Distribution

25 questions carrying 1-mark each (sub-total 25 marks) and 30 questions carrying 2-marks each (sub-total 60 marks) consisting of both the MCQ and NAT Questions. This equals to 55 questions of 85 marks. The rest 10 questions of 15 marks will be from the General Aptitude (GA) section.