Modules / Lectures


Sl.No Chapter Name MP4 Download
1mod01lec01 - Review of Probability Theory: Random VariableDownload
2mod01lec02 - Sequence of Random VariablesDownload
3mod01lec03 - Laws of Large Numbers and Central Limit TheoremDownload
4mod01lec04 - What is a stochastic process?Download
5mod01lec05 - Counting ProcessDownload
6mod01lec06 - Poisson Process-IntroductionDownload
7mod01lec07 - Poisson Process-MemorylessnessDownload
8mod01lec08 - Poisson Process-Increment propertiesDownload
9mod02lec09 - Distribution of arrival epoch Sn and N(t) for a Poisson ProcessDownload
10mod02lec10 - Alternate definitions of a Poisson ProcessDownload
11mod02lec11 - Merging of Poisson Processes - IDownload
12mod02lec12 - Merging of Poisson Processes - Part 2Download
13mod02lec13 - Splitting of Poisson Process - Part 1Download
14mod02lec14 - Splitting of Poisson Process - Part 2Download
15mod02lec15 - Example: Poisson SplittingDownload
16mod03lec16 - Conditional arrival density and order statistics - Part 1Download
17mod03lec17 - Conditional arrival density and order statistics - Part 2Download
18mod03lec18 - Non Homogeneous Poisson ProcessDownload
19mod03lec19 - Introduction to Queueing (with examples)Download
20mod03lec20 - Examples: Non homogeneous Poisson processDownload
21mod03lec21 - Examples: Competing Poisson processesDownload
22mod03lec22 - Introduction to Renewal ProcessesDownload
23mod03lec23 - Strong law for renewal processesDownload
24mod03lec24 - Strong law for renewal processes - ProofDownload
25mod04lec25 - Residual life, age and duration (Time average) - Part 1Download
26mod04lec26 - Residual life, age and duration (Time average) - Part 2Download
27mod04lec27 - Renewal Reward Theorem (Time average) - Part 1Download
28mod04lec28- Renewal Reward Theorem (Time average) - Part 2Download
29mod04lec29 - Stopping timeDownload
30mod04lec30 - Wald's EqualityDownload
31mod04lec31 - Wald's Equality (Contd.)Download
32mod05lec32 - Elementary Renewal TheoremDownload
33mod05lec33 - The Renewal EquationDownload
34mod05lec34 - The Renewal Equation (Contd.)Download
35mod05lec35 - G/G/1 Queue and Little's theoremDownload
36mod05lec36 - Little's theoremDownload
37mod06lec37 - M/G/1 QueueDownload
38mod06lec38 - M/G/1 Queue & PK FormulaDownload
39mod06lec39 - M/G/1 Queue & PK Formula (Contd.)Download
40mod06lec40 - Ensemble rewards - Age and DurationDownload
41mod06lec41 - Ensemble rewards - Age and Duration (Contd.)Download
42mod06lec42 - Key Renewal Theorem & Ensemble rewardsDownload
43mod07lec43 - Introduction to finite state Discrete Time Markov ChainsDownload
44mod07lec44 - Class and Types of Classes in a DTMCDownload
45mod07lec45 - Periodicity in a DTMCDownload
46mod07lec46 - Matrix Representation of a DTMCDownload
47mod07lec47 - The long term behaviour of a DTMCDownload
48mod07lec48 - Stationary Distribution and Long term behaviour of a DTMC - Part 1Download
49mod07lec49 - Stationary Distribution and Long term behaviour of a DTMC - Part 2Download
50mod07lec50 - Stationary Distribution and Long term behaviour of a DTMC - Part 3Download
51mod08lec51 - Spectral Properties of Stochastic Matrices - Part 1Download
52mod08lec52 - Spectral Properties of Stochastic Matrices - Part 2Download
53mod08lec53 - The Short-term Behaviour of a DTMCDownload
54mod08lec54 - Introduction to Countable-state DTMCDownload
55mod08lec55 - Introduction to Countable-state DTMC (Contd)Download
56mod08lec56 - The Strong Markov PropertyDownload

Sl.No Chapter Name English
1mod01lec01 - Review of Probability Theory: Random VariablePDF unavailable
2mod01lec02 - Sequence of Random VariablesPDF unavailable
3mod01lec03 - Laws of Large Numbers and Central Limit TheoremPDF unavailable
4mod01lec04 - What is a stochastic process?PDF unavailable
5mod01lec05 - Counting ProcessDownload
Verified
6mod01lec06 - Poisson Process-IntroductionDownload
Verified
7mod01lec07 - Poisson Process-MemorylessnessDownload
Verified
8mod01lec08 - Poisson Process-Increment propertiesDownload
Verified
9mod02lec09 - Distribution of arrival epoch Sn and N(t) for a Poisson ProcessDownload
Verified
10mod02lec10 - Alternate definitions of a Poisson ProcessDownload
Verified
11mod02lec11 - Merging of Poisson Processes - IDownload
Verified
12mod02lec12 - Merging of Poisson Processes - Part 2Download
Verified
13mod02lec13 - Splitting of Poisson Process - Part 1Download
Verified
14mod02lec14 - Splitting of Poisson Process - Part 2Download
Verified
15mod02lec15 - Example: Poisson SplittingDownload
Verified
16mod03lec16 - Conditional arrival density and order statistics - Part 1PDF unavailable
17mod03lec17 - Conditional arrival density and order statistics - Part 2PDF unavailable
18mod03lec18 - Non Homogeneous Poisson ProcessPDF unavailable
19mod03lec19 - Introduction to Queueing (with examples)PDF unavailable
20mod03lec20 - Examples: Non homogeneous Poisson processPDF unavailable
21mod03lec21 - Examples: Competing Poisson processesPDF unavailable
22mod03lec22 - Introduction to Renewal ProcessesPDF unavailable
23mod03lec23 - Strong law for renewal processesPDF unavailable
24mod03lec24 - Strong law for renewal processes - ProofPDF unavailable
25mod04lec25 - Residual life, age and duration (Time average) - Part 1PDF unavailable
26mod04lec26 - Residual life, age and duration (Time average) - Part 2PDF unavailable
27mod04lec27 - Renewal Reward Theorem (Time average) - Part 1PDF unavailable
28mod04lec28- Renewal Reward Theorem (Time average) - Part 2PDF unavailable
29mod04lec29 - Stopping timePDF unavailable
30mod04lec30 - Wald's EqualityPDF unavailable
31mod04lec31 - Wald's Equality (Contd.)PDF unavailable
32mod05lec32 - Elementary Renewal TheoremPDF unavailable
33mod05lec33 - The Renewal EquationPDF unavailable
34mod05lec34 - The Renewal Equation (Contd.)PDF unavailable
35mod05lec35 - G/G/1 Queue and Little's theoremPDF unavailable
36mod05lec36 - Little's theoremPDF unavailable
37mod06lec37 - M/G/1 QueuePDF unavailable
38mod06lec38 - M/G/1 Queue & PK FormulaPDF unavailable
39mod06lec39 - M/G/1 Queue & PK Formula (Contd.)PDF unavailable
40mod06lec40 - Ensemble rewards - Age and DurationPDF unavailable
41mod06lec41 - Ensemble rewards - Age and Duration (Contd.)PDF unavailable
42mod06lec42 - Key Renewal Theorem & Ensemble rewardsPDF unavailable
43mod07lec43 - Introduction to finite state Discrete Time Markov ChainsPDF unavailable
44mod07lec44 - Class and Types of Classes in a DTMCPDF unavailable
45mod07lec45 - Periodicity in a DTMCPDF unavailable
46mod07lec46 - Matrix Representation of a DTMCPDF unavailable
47mod07lec47 - The long term behaviour of a DTMCPDF unavailable
48mod07lec48 - Stationary Distribution and Long term behaviour of a DTMC - Part 1PDF unavailable
49mod07lec49 - Stationary Distribution and Long term behaviour of a DTMC - Part 2PDF unavailable
50mod07lec50 - Stationary Distribution and Long term behaviour of a DTMC - Part 3PDF unavailable
51mod08lec51 - Spectral Properties of Stochastic Matrices - Part 1PDF unavailable
52mod08lec52 - Spectral Properties of Stochastic Matrices - Part 2PDF unavailable
53mod08lec53 - The Short-term Behaviour of a DTMCPDF unavailable
54mod08lec54 - Introduction to Countable-state DTMCPDF unavailable
55mod08lec55 - Introduction to Countable-state DTMC (Contd)PDF unavailable
56mod08lec56 - The Strong Markov PropertyPDF unavailable


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