Probability Theory and Applica.. - IIT_Kanpur

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Mod-01 Lec-01 Basic principles of counting

IIT_Kanpur

00:52:47

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Mod-01 Lec-02 Sample space , events, axioms of probability

IIT_Kanpur

00:52:17

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Mod-01 Lec-03 Conditional probability, Independence of events.

IIT_Kanpur

00:52:38

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Mod-01 Lec-04 Random variables, cumulative density function, expected value

IIT_Kanpur

00:48:14

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Mod-01 Lec-05 Discrete random variables and their distributions

IIT_Kanpur

00:44:47

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Mod-01 Lec-06 Discrete random variables and their distributions

IIT_Kanpur

00:48:04

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Mod-01 Lec-07 Discrete random variables and their distributions

IIT_Kanpur

00:49:45

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Mod-01 Lec-08 Continuous random variables and their distributions.

IIT_Kanpur

00:46:59

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Mod-01 Lec-09 Continuous random variables and their distributions.

IIT_Kanpur

00:53:25

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Mod-01 Lec-10 Continuous random variables and their distributions.

IIT_Kanpur

01:04:11

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Mod-01 Lec-11 Function of random variables, Momement generating function

IIT_Kanpur

00:49:40

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Mod-01 Lec-12 Jointly distributed random variables, Independent r. v. and their sums

IIT_Kanpur

00:51:12

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Mod-01 Lec-13 Independent r. v. and their sums.

IIT_Kanpur

00:49:04

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Mod-01 Lec-14 Chi – square r. v., sums of independent normal r. v., Conditional distr.

IIT_Kanpur

00:40:53

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Mod-01 Lec-15 Conditional disti, Joint distr. of functions of r. v., Order statistics

IIT_Kanpur

00:44:45

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Mod-01 Lec-16 Order statistics, Covariance and correlation

IIT_Kanpur

00:47:31

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Mod-01 Lec-17 Covariance, Correlation, Cauchy- Schwarz inequalities, Conditional expectation.

IIT_Kanpur

00:50:35

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Mod-01 Lec-18 Conditional expectation, Best linear predictor

IIT_Kanpur

00:51:52

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Mod-01 Lec-19 Inequalities and bounds.

IIT_Kanpur

00:45:16

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Mod-01 Lec-20 Convergence and limit theorems

IIT_Kanpur

01:00:51

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Mod-01 Lec-21 Central limit theorem

IIT_Kanpur

00:51:57

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Mod-01 Lec-22 Applications of central limit theorem

IIT_Kanpur

00:48:05

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Mod-01 Lec-23 Strong law of large numbers, Joint mgf.

IIT_Kanpur

00:40:38

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Mod-01 Lec-24 Convolutions

IIT_Kanpur

00:47:20

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Mod-01 Lec-25 Stochastic processes: Markov process.

IIT_Kanpur

00:42:46

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Mod-01 Lec-26 Transition and state probabilities.

IIT_Kanpur

00:45:50

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Mod-01 Lec-27 State prob., First passage and First return prob

IIT_Kanpur

00:46:53

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Mod-01 Lec-28 First passage and First return prob. Classification of states.

IIT_Kanpur

00:47:43

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Mod-01 Lec-29 Random walk, periodic and null states.

IIT_Kanpur

00:40:57

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Mod-01 Lec-30 Reducible Markov chains

IIT_Kanpur

00:57:39

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Mod-01 Lec-31 Time reversible Markov chains

IIT_Kanpur

00:52:44

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Mod-01 Lec-32 Poisson Processes

IIT_Kanpur

00:53:13

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Mod-01 Lec-33 Inter-arrival times, Properties of Poisson processes

IIT_Kanpur

00:46:32

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Mod-01 Lec-34 Queuing Models: M/M/I, Birth and death process, Little’s formulae

IIT_Kanpur

00:50:11

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Mod-01 Lec-35 Analysis of L, Lq ,W and Wq , M/M/S model

IIT_Kanpur

00:44:25

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Mod-01 Lec-36 M/M/S , M/M/I/K models

IIT_Kanpur

00:52:16

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Mod-01 Lec-37 M/M/I/K and M/M/S/K models

IIT_Kanpur

00:38:02

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Mod-01 Lec-38 Application to reliability theory failure law

IIT_Kanpur

00:48:34

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Mod-01 Lec-39 Exponential failure law, Weibull law

IIT_Kanpur

00:41:49

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Mod-01 Lec-40 Reliability of systems

IIT_Kanpur

00:44:46

Mod-01 Lec-01 Basic principles of counting

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IIT_Kanpur
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İçinde Matematik ve Bilimler / Matematik

Probability Theory and Applications by Prof. Prabha Sharma,Department of Mathematics,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.

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