{"id":3603,"date":"2022-01-13T06:08:00","date_gmt":"2022-01-13T06:08:00","guid":{"rendered":"https:\/\/www.ee.iitb.ac.in\/web?post_type=course_lists&p=3603"},"modified":"2022-02-11T05:41:02","modified_gmt":"2022-02-11T05:41:02","slug":"ee-325-probability-and-random-processes","status":"publish","type":"course_lists","link":"https:\/\/www.ee.iitb.ac.in\/web\/course_lists\/ee-325-probability-and-random-processes\/","title":{"rendered":"EE 325 – Probability and Random Processes"},"content":{"rendered":"\n

Sets and set operations; Probability space, Conditional probability and Bayes theorem, Combinatorial probability and sampling models, Discrete random variables, probability mass function, probability distribution function, example random variables and distributions, Continuous random variables, probability density function, probability distribution function, example distributions, Joint distributions, functions of one and two random variables, moments of random variables, Conditional distribution, densities and moments, Characteristic functions of a random variable, Markov, Chebyshev and Chernoff bounds; Random sequences and modes of convergence (everywhere, almost everywhere, probability, distribution and mean square), Limit theorems, Strong and weak laws of large numbers, central limit theorem. Random process. Stationary processes. Mean and covariance functions. Ergodicity. Transmission of random process through LTI. Power spectral density.<\/p>\n","protected":false},"featured_media":0,"parent":0,"template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"acf":[],"yoast_head":"\nEE 325 - Probability and Random Processes – EE IIT Bombay<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"EE 325 - Probability and Random Processes – EE IIT Bombay\" \/>\n<meta property=\"og:description\" content=\"Sets and set operations; Probability space, Conditional probability and Bayes theorem, Combinatorial probability and sampling models, Discrete random variables, probability mass function, probability distribution function, example random variables and distributions, Continuous random variables, probability density function, probability distribution function, example distributions, Joint distributions, functions of one and two random variables, moments of random variables, Conditional … EE 325 – Probability and Random Processes Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/\" \/>\n<meta property=\"og:site_name\" content=\"EE IIT Bombay\" \/>\n<meta property=\"article:modified_time\" content=\"2022-02-11T05:41:02+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/\",\"url\":\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/\",\"name\":\"EE 325 - Probability and Random Processes – EE IIT Bombay\",\"isPartOf\":{\"@id\":\"https:\/\/www.ee.iitb.ac.in\/web\/#website\"},\"datePublished\":\"2022-01-13T06:08:00+00:00\",\"dateModified\":\"2022-02-11T05:41:02+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.ee.iitb.ac.in\/web\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"EE 325 – Probability and Random Processes\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.ee.iitb.ac.in\/web\/#website\",\"url\":\"https:\/\/www.ee.iitb.ac.in\/web\/\",\"name\":\"EE IIT Bombay\",\"description\":\"Department of Electrical Engineering, IIT Bombay\",\"publisher\":{\"@id\":\"https:\/\/www.ee.iitb.ac.in\/web\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.ee.iitb.ac.in\/web\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.ee.iitb.ac.in\/web\/#organization\",\"name\":\"Department of ELectrical Engineering | IIT Bombay\",\"url\":\"https:\/\/www.ee.iitb.ac.in\/web\/\",\"sameAs\":[],\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.ee.iitb.ac.in\/web\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.ee.iitb.ac.in\/webwp-content\/uploads\/2021\/11\/MicrosoftTeams-image-2.png\",\"contentUrl\":\"https:\/\/www.ee.iitb.ac.in\/webwp-content\/uploads\/2021\/11\/MicrosoftTeams-image-2.png\",\"width\":93,\"height\":41,\"caption\":\"Department of ELectrical Engineering | IIT Bombay\"},\"image\":{\"@id\":\"https:\/\/www.ee.iitb.ac.in\/web\/#\/schema\/logo\/image\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"EE 325 - Probability and Random Processes – EE IIT Bombay","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ee.iitb.ac.in\/webcourse_lists\/ee-325-probability-and-random-processes\/","og_locale":"en_US","og_type":"article","og_title":"EE 325 - Probability and Random Processes – EE IIT Bombay","og_description":"Sets and set operations; 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