mod02lec09 - Distribution of arrival epoch Sn and N(t) for a Poisson Process

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mod02lec10 - Alternate definitions of a Poisson Process

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mod02lec11 - Merging of Poisson Processes - I

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mod02lec12 - Merging of Poisson Processes - Part 2

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mod02lec13 - Splitting of Poisson Process - Part 1

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mod02lec14 - Splitting of Poisson Process - Part 2

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mod02lec15 - Example: Poisson Splitting

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mod03lec16 - Conditional arrival density and order statistics - Part 1

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mod03lec17 - Conditional arrival density and order statistics - Part 2

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mod03lec18 - Non Homogeneous Poisson Process

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mod03lec19 - Introduction to Queueing (with examples)

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mod03lec20 - Examples: Non homogeneous Poisson process

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mod03lec21 - Examples: Competing Poisson processes

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mod03lec22 - Introduction to Renewal Processes

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mod03lec23 - Strong law for renewal processes

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mod03lec24 - Strong law for renewal processes - Proof

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mod04lec25 - Residual life, age and duration (Time average) - Part 1

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mod04lec26 - Residual life, age and duration (Time average) - Part 2

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mod04lec27 - Renewal Reward Theorem (Time average) - Part 1

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mod04lec28- Renewal Reward Theorem (Time average) - Part 2

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mod04lec29 - Stopping time

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mod04lec30 - Wald's Equality

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mod04lec31 - Wald's Equality (Contd.)

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mod05lec32 - Elementary Renewal Theorem

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mod05lec33 - The Renewal Equation

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mod05lec34 - The Renewal Equation (Contd.)

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mod05lec35 - G/G/1 Queue and Little's theorem

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mod05lec36 - Little's theorem

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mod06lec37 - M/G/1 Queue

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mod06lec38 - M/G/1 Queue & PK Formula

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mod06lec39 - M/G/1 Queue & PK Formula (Contd.)

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mod06lec40 - Ensemble rewards - Age and Duration

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mod06lec41 - Ensemble rewards - Age and Duration (Contd.)

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mod06lec42 - Key Renewal Theorem & Ensemble rewards

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mod07lec43 - Introduction to finite state Discrete Time Markov Chains

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mod07lec44 - Class and Types of Classes in a DTMC

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mod07lec45 - Periodicity in a DTMC

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mod07lec46 - Matrix Representation of a DTMC

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mod07lec47 - The long term behaviour of a DTMC

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mod07lec48 - Stationary Distribution and Long term behaviour of a DTMC - Part 1

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mod07lec49 - Stationary Distribution and Long term behaviour of a DTMC - Part 2

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mod07lec50 - Stationary Distribution and Long term behaviour of a DTMC - Part 3

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mod08lec51 - Spectral Properties of Stochastic Matrices - Part 1

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mod08lec52 - Spectral Properties of Stochastic Matrices - Part 2

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mod08lec53 - The Short-term Behaviour of a DTMC

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mod08lec54 - Introduction to Countable-state DTMC

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mod08lec55 - Introduction to Countable-state DTMC (Contd)

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mod08lec56 - The Strong Markov Property

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mod09lec57 - Renewal Theory applied to DTMC's

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mod09lec58 - Stationary Distribution of a Countable State Space DTMC and Renewal Theory

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mod09lec59 - Stationary Distribution of a Countable State Space DTMC and Renewal Theory (Contd)

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mod09lec60 - Stationary Distribution and The Steady State Behaviour of a Countable-state DTMC - P1

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mod09lec61 Stationary Distribution and The Steady State Behaviour of a Countable-state DTMC - Part 2

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mod09lec62 Convergence to Steady State of a Coutable-state DTMC (Stochastic Coupling)

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mod10lec63 - The Birth-Death Markov Chains

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mod10lec64 - The Reversibility Markov Chains

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mod10lec65 - The Reversibility Markov Chains Contd...

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mod10lec66 - Time Sampled M/M/1 Queue and The Burke's Theorem

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mod10lec67 - Introduction to Continuous Time Markov Chains

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mod10lec68 - Introduction to CTMC (Contd.)

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mod11lec69 - The Steady State Behaviour of CTMC - Part 1

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mod11lec70 - The Steady State Behaviour of CTMC - Part 2

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mod11lec71 - The Steady State Behaviour of CTMC - Part 3

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mod11lec72 - The Steady State Behaviour of CTMC - Part 4

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mod11lec73 - The chapman-kolmogrov equations for CTMC's

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mod11lec74 - The Birth-Death Continuous time Markov Chains

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mod11lec75 - The Reversibility of Continuous time Markov Chains

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mod12lec76 - Burke's Theorem and the Tandem Queues - Part 1

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mod12lec77 - Burke's Theorem and the Tandem Queues - Part 2

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mod12lec78 - The Jackson Networks - Part 1

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mod12lec79 - The Jackson Networks - Part 2

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mod12lec80 - Semi Markov Processes - Part 1

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mod12lec81 - Semi Markov Processes - Part 2

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