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courses(CSPE60): fix styling
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# Objectives

- Develop an understanding to the basic concepts of Random Processes, Expectations and Parameter
Estimation.
- Able to understand and apply the Stochastic processes to Science and Engineering problems and
applications.
- Able to calculate the n-step transition probabilities for any Markov chain and understand about the
birth and death of processes.
- Develop an understanding to the basic concepts of Random Processes, Expectations and Parameter Estimation.
- Able to understand and apply the Stochastic processes to Science and Engineering problems and applications.
- Able to calculate the n-step transition probabilities for any Markov chain and understand about the birth and death of processes.
- Able to apply Markov chain & Birth Death process to real life problems.
- Develop an understanding of various Queuing Systems.

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- Covariance and Correlation
- Auto and Cross Correlation
- Correlation Co-efficient
- Parameter Estimation – Maximum Likelihood Estimation and Maximum a Posteriori.
- Parameter Estimation – Maximum Likelihood Estimation and Maximum a Posteriori

## Unit 2

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- Renewal process
- Advanced Renewal Theory
- Renewal Function
- Alternating Renewal Processes.
- Alternating Renewal Processes

## Unit 3

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- Pure Birth Process
- Pure Death Process
- Non-Birth-Death Processes
- Analysis of program execution time.
- Analysis of program execution time

## Unit 4

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- M/G/1 queuing system
- M/G/1 with non-FIFO disciplines
- M/G/∞
- Queues with time-varying arrival rate.
- Queues with time-varying arrival rate

# Reference Books

- A. Populis and S.U. Pillai: Probability, Random Variables, and Stochastic Process, 4th Edition, McGraw-Hill.
- S. Palaniammal: Probability and Queueing theory, Prentice Hall of India.
- V. Sundarapandian: Probability, Statistics and Queueing Theory, Prentice Hall of India.
- A. Populis and S.U. Pillai: Probability, Random Variables, and Stochastic Process, 4th Edition, McGraw-Hill
- S. Palaniammal: Probability and Queueing theory, Prentice Hall of India
- V. Sundarapandian: Probability, Statistics and Queueing Theory, Prentice Hall of India

# Outcomes

- Develop an understanding to the basic concepts of Random Processes, Expectations and Parameter
Estimation.
- Able to understand and apply the Stochastic processes to Science and Engineering problems and
applications.
- Able to calculate the n-step transition probabilities for any Markov chain and understand about the
birth and death of processes.
- Develop an understanding to the basic concepts of Random Processes, Expectations and Parameter Estimation.
- Able to understand and apply the Stochastic processes to Science and Engineering problems and applications.
- Able to calculate the n-step transition probabilities for any Markov chain and understand about the birth and death of processes.
- Able to apply Markov chain & Birth Death process to real life problems.
- Develop an understanding of various Queuing Systems.

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