How to Prepare for JAM 2019 Mathematical Statistics
Sherin Tressa, 29 Oct 2018, #JAM

How to Prepare for JAM 2019 Mathematical Statistics – Candidates who wish to appear for JAM 2019 Mathematical Statistics on February 10, 2019 have a time period of about four months to prepare themselves for the exam. JAM will be conducted in the computer based mode. ‘How to prepare for JAM 2019 Mathematical Statistics’ will help candidates with the list of books to be referred for the different topics and other preparation tips which can be followed for better preparation for the examination. To prepare for the Mathematical Statistics papers of JAM 2019 candidates can follow the tips given here. To begin with, preparation for Mathematical Statistics required adequate time management. The syllabus for the examination is vast which means each topics needs to be given proper attention. ‘How to prepare for JAM 2019 Mathematical Statistics’ is a complete guide fro candidates who wish to appear for the exam.

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How to Prepare for JAM 2019 Mathematical Statistics – Preparation Tips

To prepare for the mathematical statistics exam candidates can follow the preparation tips given here. Preparation for JAM 2019 involves proper getting to know the syllabus for the subject thoroughly, preparing a proper time-table, solving sample papers from previous years, attempting mock tests, etc.

How to Prepare for JAM 2019 Mathematical Statistics - Syllabus

IIT Kharagpur, the conducting body of JAM 2019 has released the syllabus for the JAM 2019 Mathematical Statistics exam. Candidates who wish to appear for the Mathematical statistics exam can check the detailed syllabus here.

Mathematics
Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle's theorem, mean value theorems, Taylor's theorem, indeterminate forms, maxima and minima of functions of one and two variables.
Sequences and Series: Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers.
Matrices: Rank, inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric, skew-symmetric and orthogonal matrices.
Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes.

Statistics
Random Variables: Probability mass function, probability density function and cumulative distribution functions, distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev's inequality.
Standard Distributions: Binomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions. Poisson and normal approximations of a binomial distribution.

Probability: Axiomatic definition of probability and properties, conditional probability, multiplication rule. Theorem of total probability. Bayes’ theorem and independence of events.
Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Joint moment generating function. Product moments, correlation, simple linear regression. Independence of random variables.
Limit Theorems: Weak law of large numbers. Central limit theorem (i.i.d.with finite variance case only).
Testing of Hypotheses: Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of univariate normal distribution. 
Estimation: Unbiasedness, consistency and efficiency of estimators, method of moments and method of maximum likelihood. Sufficiency, factorization theorem. Completeness, Rao-Blackwell and Lehmann-Scheffe theorems, uniformly minimum variance unbiased estimators. Rao-Cramer inequality. Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions.

Sampling distributions: Chi-square, t and F distributions, and their properties.

How to Prepare for JAM 2019 Mathematical Statistics – Best Books

To prepare for mathematical statistics candidates must make sure they have the right books which will guide them through the different topics. The books mentioned here are specialised for the different topics in Mathematical statistics.

Topics

Books and Authors

Mathematics

Differential Calculus

Mathematical Analysis - Apostol

Mathematical Analysis -S.C.Malik

Principle of Mathematical Analysis - Rudi

Sequences and Series

Differential Equations

Ordinary Differential Equation: Peter J. Collins, G.F. Simmons, M.D. Raisinghania

Matrices

Vector Calculus: Murray R. Spiegel (Schaum's), A.R.Vasishtha

Integral Calculus

Integral Calculus: F. Ayres (Schaum's), Gorakh Prasad

Statistics

Probability

An introduction to probability and statistics: V.K. Rohatgi

Introduction to Mathematical statistics: Hogg & Craig

Introduction to the theory of statistics: Mod & Graybill

Fundamentals of Mathematical statistics: S.C. Gupta & V.K. Kapoor



Joint Distributions

Random Variables

Standard Distributions

Testing of Hypotheses

Sampling distributions

Estimation

Limit Theorems

How to Prepare for JAM 2019 Mathematical Statistics - Sample Papers

Solving sample papers for Mathematical Statistics from the previous years will make candidates come face to face with the different types of questions asked for the exam. The sample papers accompanied with the answer keys for each will also help candidates to learn how to manage time during the exam. The sample papers contain questions from the different topics which will also give candidates an idea about the weightage of the different topics through the number of questions asked from each of them.


Sample Papers for Mathematical statistics

Year

Link to download

JAM 2018

Click here

JAM 2015

Click here

JAM 2014

Click Here

JAM 2013

Click here

How to Prepare for JAM 2019 Mathematical Statistics - Mock Tests

Mock Tests are available for candidates to make themselves accustomed to the way the exam will be conducted. JAM is a computer based exam which will be conducted in two sessions. Candidates can take as many mock tests as possible to prepare themselves for the exam. 


How to Prepare for JAM 2019 Mathematical Statistics - Time-Table 

Preparation for JAM 2019 Mathematical Statistics exam should start with an apt time-table. Candidates must make a time table which will have an equal division of time for the different topics from the syllabus. Preparing a time-table is a systematic way of alotting time for practicing the problems. The time-table must incorporate time for practicing the different problems as well. This will help candidates to calculate the time they take to solve each sum there by giving them an idea as to how they need to tackle the same type of problem on the day of the exam.

How to Prepare for JAM 2019 Mathematical Statistics - Time Management

Time management is an important factor while attempting any exam. It is evident that during an exam there will be parts where in candidates take more time than usual to come up with the solution while there will be other sections which will not take must time. During practices before the exam candidates must make sure to make a note of all the topics and problems which take up a lot of time for them. Practicing such problems will help them save time on the day of the exam. Also, another way of time management is alotting a said amount of time to solve a particular section. This will be helpful in such a way that candidates will be left with extra time in hand where they will be able to go back to the sections where there are questions left out and complete the exam on time.

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