2. Stochastic
โข The word stochastic comes from
the Greek (stokhos, "aim")
โข It occurs in various professional
and academic fields.
https://en.wikipedia.org
3. Definition
โข A Stochastic Process (or random
process) is a probability model used
to describe phenomena that evolve
over time or space.[1]
โข Opposite of a Deterministic Process
[1] The Oxford Dictionary of Statistical Terms.
5. โข Researchers use the term stochastic
systems to describe the physical systems in
which the values of parameters, measurements,
expected input, and disturbances are uncertain
โข Probability Theory says that a purely
stochastic system is one whose state is
randomly determined, having a random
probability distribution or pattern that may be
analyzed statistically but may not be predicted
precisely.
https://en.wikipedia.org
6. Stochastic systems and processes play a fundamental role
in mathematical models of phenomena in many fields
Science Engineering
Finance Economics
https://en.wikipedia.org
7. Uses of Stochastic Process in
different fields of Science
โข Mathematical Theory
โข Artificial Intelligence
โข Natural Science
( Physics, Biology, Medicine, Geomorphology , Creativity )
โข Computer Science
โข Music
โข Subtractive Color Reproduction
โข Language And Linguistics
โข Social Sciences
โข Business ( Manufacturing , Finance , Media )
https://en.wikipedia.org
8. โข Electrical Grid Management
โข Smart grids
โข Telecommunication
โข Markov Chain
โข Monitoring Network Congestion
Uses of Stochastic Process in
Electrical Engineering
9. Continuous-time
Markov Chain (CTMC)
โข It is a continuous-time stochastic process
with the Markov property which means
that future behaviour of the model
depends only on the current state of the
model and not on historical behaviour.
10. Telecommunication
โข When messages flow from a source to a
destination (end-to-end) through a network.
Network conditions are extremely stochastic
in nature.
11. โข Stochastic Power Grid Analysis
Automation and Test in Europe Conference and Exhibition (DATEโ05) 1530-1591/05 IEEE
โข Stochastic Model for Power Grid Dynamics
Fortieth Hawaii International Conference on System Sciences, January 3-6, 2007, Big Island, Hawaii]
12. โข Stochastic Information Management in Smart Grid
IEEE Paper
โข Adaptive Stochastic Control for the Smart Grid
IEEE Paper
Google Images
14. Asian Universities
โข Manny top ranked Asian universities are offering
Stochastic Process course, for their Electrical Graduate
program
For Example
1. National UNIVERSITY OF SINGAPUR (Japan)
2. Tsinghua University ( China )
3. Comsats ( Pakistan)
15. According To โTHEโ
Ranking
๏ถ California Institute of Technology
Department of Electrical engineering (United States)
EE 164. Stochastic and Adaptive
๏ถ MIT University (Department of Electrical engineering )
6.265J Advanced Stochastic Processes
https://www.timeshighereducation.com/
According to โTHEโ top ranked engineering
universities of world are teaching Stochastic
Processโ course to their Graduate students.
For Example
16. Conclusion
โข This course aims to help students acquire both the
mathematical principles and the intuition necessary to
create, analyze, and understand insightful models for a
broad range of these processes. The range of areas for
which discrete stochastic-process models are useful is
constantly expanding, and includes many applications in
engineering, physics, biology, operations research and
finance.
โข Studying this course helps to improve the quality of
research work for Electrical Engineers
https://ocw.mit.edu/courses/electrical-engineering-and-computer-science