{"id":13756,"date":"2013-02-04T15:04:27","date_gmt":"2013-02-04T09:34:27","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=13756"},"modified":"2013-02-04T15:04:27","modified_gmt":"2013-02-04T09:34:27","slug":"iit-kanpur-syllabus-for-probability-and-statistics-4th-sem-electrical-engineering","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/iit-kanpur-syllabus-for-probability-and-statistics-4th-sem-electrical-engineering\/","title":{"rendered":"IIT Kanpur Syllabus for Probability and Statistics 4th sem Electrical Engineering"},"content":{"rendered":"<h1 style=\"text-align: center;\"><strong>IIT Kanpur Probability and Statistics Syllabus\u00a0<\/strong><\/h1>\n<p style=\"text-align: center;\"><strong>ESO 209 PROBABILITY AND STATISTICS, 3-1-0-1-4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><\/p>\n<p style=\"text-align: center;\"><strong> \u00a0Prereq. MTH 101<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>Probability, Axiomatic Definition, Properties, Conditional probability, Bayes rule and Independence of Events, Random variables, Distribution function, Probability mass and density functions, Expectation, Moments, Moment generating function, Chebyshev\u2019s inequality; Special distributions: Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, Poisson, Uniform, Exponential, Gamma, Normal, Joint Distributions, Marginal and Conditional Distributions, Moments, Independence of random variables, Covariance, Correlation, Functions of randomvariables, Weak law of large numbers, P.levy\u2019s Central limit theorem (i.i.d. finite variance case), Normal and Poisson approximations to Binomial;<\/p>\n<p>STATISTICS : Introduction:\u00a0 Population, sample, parameters;\u00a0 Point Estimation: Method of moments, MLE, Unbiasedness, Consistency, Comparing two estimators (Relative MSE), Confidence Interval, Estimation for mean, difference of means, variance, proportions. Sample size problem. Tests of Hypotheses: N-P Lemma, examples of MP and UMP tests, p-value, Likelihood ratio test, Tests for means, variance, two sample problems, Test for proportions, Relation between confidence intervals and tests of hypotheses, Chi-Square goodness of fit tests, contingency tables, SPRT\u00a0 Regression Problem:\u00a0 Scatter diagram, Simple linear regression, Least squares estimation; Tests for slope and correlation, prediction problem, Graphical residual analysis, Q-Q plot to test for normality of residuals, Multiple Regression; Analysis of Variance: Completely randomised design and Randomised block design, Quality Control, Shewhart control charts and Cusum charts<\/p>\n","protected":false},"excerpt":{"rendered":"<p>IIT Kanpur Probability and Statistics Syllabus\u00a0 ESO 209 PROBABILITY AND STATISTICS, 3-1-0-1-4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0Prereq. MTH 101 &nbsp; Probability, Axiomatic Definition, Properties, Conditional probability, Bayes rule and Independence of Events, Random variables, Distribution function, Probability mass and density functions, Expectation, Moments, Moment generating function, Chebyshev\u2019s inequality; Special distributions: Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, Poisson, Uniform, Exponential, &#8230; <a title=\"IIT Kanpur Syllabus for Probability and Statistics 4th sem Electrical Engineering\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/iit-kanpur-syllabus-for-probability-and-statistics-4th-sem-electrical-engineering\/\" aria-label=\"More on IIT Kanpur Syllabus for Probability and Statistics 4th sem Electrical Engineering\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[4927,1],"tags":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/13756"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=13756"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/13756\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=13756"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=13756"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=13756"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}