#2
| |||
| |||
Re: IIT JAM Statistics Entrance
Here I am providing the syllabus of Mathematical Statistics for IIT JAM entrance exam. Integral Calculus : Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes Matrices : Rank, inverse of a matrix. systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley – Hamilton theorem, symmetric, skew – symmetric and orthogonal matrices Sequences and Series : Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers. 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. Differential Equations : Ordinary differential equations of the first order of the form y’ = f (x,y). Linear differential equations of the second order with constant coefficients Statistics 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. Product moments, correlation, simple linear regression. Independence of random variables. Sampling Distributions : Chi – square, t and F distributions, and their properties. Limit Theorems : Weak law of large numbers. Central limit theorem ( i.i.d.with finite variance case only ). 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 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. 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. |
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Cass MBA Statistics | payal | Online MBA Discussions | 2 | 10th March 2018 08:22 AM |
UVA MBA Admissions Statistics | kavita | Online MBA Discussions | 2 | 6th March 2018 10:16 AM |
Statistics Of JEE Advanced | Unregistered | Main Forum | 1 | 4th April 2017 02:36 PM |
UW ACMS Admission Statistics | Unregistered | Main Forum | 1 | 18th November 2016 08:54 AM |
MANIT Placement Statistics | Unregistered | Main Forum | 1 | 3rd November 2016 05:39 PM |
Statistics Of MH CET | Unregistered | Main Forum | 1 | 19th October 2016 08:14 AM |
IIT M Tech Placement Statistics | Unregistered | Main Forum | 1 | 28th September 2016 04:54 PM |
Msc Statistics In IIT Bombay | Unregistered | Main Forum | 1 | 28th September 2016 08:38 AM |
Vanderbilt MBA Salary Statistics | Unregistered | Online MBA Discussions | 1 | 19th November 2015 01:09 PM |
Harvard MBA Salary Statistics | Unregistered | Main Forum | 1 | 12th November 2015 02:07 PM |
After B.Sc statistics Best Option in MBA | Unregistered | Main Forum | 1 | 9th November 2015 01:15 PM |
MBA Notes Statistics | Divya Hmt | Main Forum | 4 | 15th January 2015 09:18 PM |
Courses after BSc statistics | Unregistered | Main Forum | 1 | 17th October 2014 08:38 AM |
Ph.D In Statistics | SHYAM ANAND.P | Main Forum | 1 | 12th February 2013 05:40 PM |
UF MBA Admissions Statistics | pratik taunk.u | Main Forum | 1 | 14th October 2012 04:36 PM |
MBA Business Statistics | pushpa.t | Main Forum | 1 | 10th October 2012 12:53 PM |
Best Universities for MS in Statistics | santosh meher.k | Main Forum | 1 | 28th September 2012 04:40 PM |
Statistics diploma TCD | pradeep srivastava | Main Forum | 1 | 20th July 2012 03:46 PM |
B Sc Statistics Syllabus | preeti khanduja | Main Forum | 1 | 13th July 2012 03:25 PM |
IIT Kanpur Placements Statistics | rabindra kumar singh | Main Forum | 1 | 18th June 2012 07:51 PM |
Thread Tools | Search this Thread |
|