Modules / Lectures

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Lecture-01-Basic principles of counting | Download |

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

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

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

5 | Lecture-05-Discrete random variables and their distributions | Download |

6 | Lecture-06-Discrete random variables and their distributions | Download |

7 | Lecture-07-Discrete random variables and their distributions | Download |

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

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

10 | Lecture-10-Continuous random variables and their distributions. | Download |

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

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

13 | Lecture-13-Independent r. v. and their sums. | Download |

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

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

16 | Lecture-16-Order statistics, Covariance and correlation. | Download |

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

18 | Lecture-18-Conditional expectation, Best linear predictor | Download |

19 | Lecture-19-Inequalities and bounds. | Download |

20 | Lecture-20-Convergence and limit theorems | Download |

21 | Lecture-21-Central limit theorem | Download |

22 | Lecture-22-Applications of central limit theorem | Download |

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

24 | Lecture-24-Convolutions | Download |

25 | Lecture-25-Stochastic processes: Markov process. | Download |

26 | Lecture-26-Transition and state probabilities. | Download |

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

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

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

30 | Lecture-30-Reducible Markov chains | Download |

31 | Lecture-31-Time reversible Markov chains | Download |

32 | Lecture-32-Poisson Processes | Download |

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

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

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

36 | Lecture-36-M/M/S , M/M/I/K models | Download |

37 | Lecture-37-M/M/I/K and M/M/S/K models | Download |

38 | Lecture-38-Application to reliability theory failure law | Download |

39 | Lecture-39-Exponential failure law, Weibull law | Download |

40 | Lecture-40-Reliability of systems | Download |

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 |