Modules / Lectures

Module Name | Download | Description | Download Size |
---|---|---|---|

Probability Theory and Applications | Exercise-01 | Exercise-01 | 16 kb |

Probability Theory and Applications | Exercise-02 | Exercise-02 | 19 kb |

Probability Theory and Applications | Exercise-03 | Exercise-03 | 92 kb |

Probability Theory and Applications | Exercise-04 | Exercise-04 | 103 kb |

Probability Theory and Applications | Exercise-05 | Exercise-05 | 33 kb |

Probability Theory and Applications | Exercise-06 | Exercise-06 | 47 kb |

Probability Theory and Applications | Exercise-07 | Exercise-07 | 43 kb |

Probability Theory and Applications | Exercise-08 | Exercise-08 | 126 kb |

Probability Theory and Applications | Exercise-09 | Exercise-09 | 27 kb |

Probability Theory and Applications | Exercise-10 | Exercise-10 | 109 kb |

Probability Theory and Applications | Exercise-11 | Exercise-11 | 55 kb |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lecture-01-Basic principles of counting | PDF unavailable |

2 | Lecture-02-Sample space , events, axioms of probability | PDF unavailable |

3 | Lecture-03-Conditional probability, Independence of events. | PDF unavailable |

4 | Lecture-04-Random variables, cumulative density function, expected value | PDF unavailable |

5 | Lecture-05-Discrete random variables and their distributions | PDF unavailable |

6 | Lecture-06-Discrete random variables and their distributions | PDF unavailable |

7 | Lecture-07-Discrete random variables and their distributions | PDF unavailable |

8 | Lecture-08-Continuous random variables and their distributions. | PDF unavailable |

9 | Lecture-09-Continuous random variables and their distributions. | PDF unavailable |

10 | Lecture-10-Continuous random variables and their distributions. | PDF unavailable |

11 | Lecture-11-Function of random variables, Momement generating function | PDF unavailable |

12 | Lecture-12-Jointly distributed random variables, Independent r. v. and their sums | PDF unavailable |

13 | Lecture-13-Independent r. v. and their sums. | PDF unavailable |

14 | Lecture-14-Chi – square r. v., sums of independent normal r. v., Conditional distr. | PDF unavailable |

15 | Lecture-15 Conditional disti, Joint distr. of functions of r. v., Order statistics | PDF unavailable |

16 | Lecture-16-Order statistics, Covariance and correlation. | PDF unavailable |

17 | Lecture-17-Covariance, Correlation, Cauchy- Schwarz inequalities, Conditional expectation. | PDF unavailable |

18 | Lecture-18-Conditional expectation, Best linear predictor | PDF unavailable |

19 | Lecture-19-Inequalities and bounds. | PDF unavailable |

20 | Lecture-20-Convergence and limit theorems | PDF unavailable |

21 | Lecture-21-Central limit theorem | PDF unavailable |

22 | Lecture-22-Applications of central limit theorem | PDF unavailable |

23 | Lecture-23-Strong law of large numbers, Joint mgf. | PDF unavailable |

24 | Lecture-24-Convolutions | PDF unavailable |

25 | Lecture-25-Stochastic processes: Markov process. | PDF unavailable |

26 | Lecture-26-Transition and state probabilities. | PDF unavailable |

27 | Lecture-27-State prob., First passage and First return prob | PDF unavailable |

28 | Lecture-28-First passage and First return prob. Classification of states. | PDF unavailable |

29 | Lecture-29-Random walk, periodic and null states. | PDF unavailable |

30 | Lecture-30-Reducible Markov chains | PDF unavailable |

31 | Lecture-31-Time reversible Markov chains | PDF unavailable |

32 | Lecture-32-Poisson Processes | PDF unavailable |

33 | Lecture-33-Inter-arrival times, Properties of Poisson processes | PDF unavailable |

34 | Lecture-34-Queuing Models: M/M/I, Birth and death process, Little’s formulae | PDF unavailable |

35 | Lecture-35-Analysis of L, Lq ,W and Wq , M/M/S model | PDF unavailable |

36 | Lecture-36-M/M/S , M/M/I/K models | PDF unavailable |

37 | Lecture-37-M/M/I/K and M/M/S/K models | PDF unavailable |

38 | Lecture-38-Application to reliability theory failure law | PDF unavailable |

39 | Lecture-39-Exponential failure law, Weibull law | PDF unavailable |

40 | Lecture-40-Reliability of systems | PDF unavailable |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |