GATE 2022 Statistics Syllabus (Released) – Get (ST) PDF Here
Latest Applications Open 2021:
GATE 2022 Syllabus of Statistics has been Released. GATE 2022 is a nationallevel exam organized by IIT Bombay (IITB).
The Engineering Graduation Skill Test (GATE 2022) is organized for admission to PG courses in the field of engineering and technology, specifically ME / M.Tech.
The Exam will be held in February 2022. See here for complete information about the GATE 2022 Syllabus.
GATE 2022 Statistics Syllabus – PDF Released
GATE 2022 Statistics Syllabus has been Released. Click Here to Download PDF.
GATE 2022 Statistics Syllabus
Latest Applications For Various UG & PG Courses Open 2021:

 Lovely Professional University, Punjab  Admissions Open for All Courses 2021. Apply Now
 UPES, Dehradun  Admissions Open for All Courses 2021. Apply Now
 Chandigarh University, Punjab  Admissions Open for All Courses 2021. Apply Now
 GD Goenka, Gurgaon  Admission Open for All Courses 2021. Apply Now
 DIT University, Dehradun  Admission Open for All Courses 2021. Apply Now
 Sharda University  Admission Open all courses 2021. Apply Now
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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, a 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, CayleyHamilton Theorem, diagonalization, Jordan canonical form,
symmetric, skewsymmetric, Hermitian, skewHermitian, 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 the existence of higherorder moments.
Stochastic Processes: Markov chains with finite and countable state space, classification of states, limiting behavior of nstep transition probabilities, stationary distribution, Poisson, and birthanddeath 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 signedrank test, Mann Whitney U test, test for independence and Chisquare 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 the multivariate normal distribution; Multinomial distribution; Wishart distribution; Hotelling’s T2 and related tests; Principal component analysis; Discriminant analysis; Clustering.
Design of Experiments: One and twoway ANOVA, CRD, RBD, LSD, 22, and 23 Factorial Experiments.
Textile Engineering Mathematics
Latest Applications For Various UG & PG Courses Open 2021:

 Lovely Professional University, Punjab  Admissions Open for All Courses 2021. Apply Now
 UPES, Dehradun  Admissions Open for All Courses 2021. Apply Now
 Chandigarh University, Punjab  Admissions Open for All Courses 2021. Apply Now
 GD Goenka, Gurgaon  Admission Open for All Courses 2021. Apply Now
 DIT University, Dehradun  Admission Open for All Courses 2021. Apply Now
 Sharda University  Admission Open all courses 2021. Apply Now
 Manav Rachna University, Haryana  Admission Open for all courses 2021. Apply Now
Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigenvalues and eigenvectors.
Calculus: Limit, continuity, and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green’s theorems.
Differential Equations: Linear and nonlinear first order ODEs; Higher order linear ODEs with constant coefficients; Cauchy’s and Euler’s equations; Laplace transforms; PDEs Laplace, heat and wave equations.
Probability and Statistics: Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions; Correlation and regression analysis.
Numerical Methods: Solutions of linear and nonlinear algebraic equations; integration of trapezoidal and Simpson’s rule; single and multistep methods for differential equations.
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