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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study, Virtual Classroom | Video and Text Based |
Course Overview
The Stochastic Processes - 1 certification course is a 12-week programme. The course focuses on stochastic processes and concepts required for the students to perform experiments and research. The certification course covers a comprehensive curriculum that includes a Probability theory refresher, an introduction to the stochastic process, and problems in random variables and distributions.
The prerequisite for this certification course is that students must have a basic course on Probability. The Stochastic Processes - 1 certification by NPTEL provides in-depth knowledge of the classification and properties of stochastic processes. With a robust curriculum and the support of industry professionals, the students can apply these concepts and processes in real-world projects.
Also Read: Online Mathematics Courses & Certifications
The Highlights
- Video Course
- 12 Weeks Duration
- Completion Certification
Programme Offerings
- hands-on training
- Books
- Transcripts
- assignments
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Delhi |
Eligibility Criteria
Academic Qualifications
The prerequisite for Stochastic Processes - 1 online course is a basic course on Probability.
Certification Qualifying Details
To receive Stochastic Processes - 1 certification, the students must clear the examination with minimum marks in the assignments and written examination.
What you will learn
The students will gain a deep understanding of stochastic processes and concepts needed for their experiments and research. After the completion of the Stochastic Processes - 1 certification syllabus, the students will learn the theoretical concepts that deal with various stochastic modeling. They will also learn about the renewal processes, branching processes, stationary and autoregressive processes.
The students will explore the discrete-time Markov Chains, continuous-time Markov Chains, applications of CTMC and queueing networks. Upon the completion of the Stochastic Processes - 1 training, the candidates will gain in-depth knowledge of various stochastic processes concepts and theories. They will be equipped with all the necessary knowledge and skills to apply in the field.
Who it is for
The Stochastic Processes - 1 online course is designed for undergraduate students to develop their knowledge in the subject. This certification course is also beneficial for:
Admission Details
To join the Stochastic Processes - 1 classes, follow the steps mentioned below:
Step 1: Browse the link mentioned below:
https://nptel.ac.in/courses/111102096
Step 2: Students can "Login In" and Sign In with a Google account or create a separate account.
Step 3: Fill out the form with the required details, submit it and begin the course.
The Syllabus
- Probability theory refresher
- Introduction to stochastic process; (contd.)
- Probability theory refresher (contd.)
- Problems in random variables and distributions
- Problems in Sequence of random variables
- Definition and simple stochastic process
- Definition, classification and Examples
- Simple stochastic processes
- Discrete-time Markov chains
- Introduction, Definition and Transition Probability Matrix
- Chapman-Kolmogorov Equations
- Classification of States and Limiting Distributions
- Discrete-time Markov chains (contd.)
- Limiting and Stationary Distributions
- Limiting Distributions, Ergodicity and stationary distributions
- Time Reversible Markov Chain
- Application of Irreducible Markov chains in Queueing
- Models; Reducible Markov Chains
- Continuous-time Markov chains
- Definition, Kolmogrov Differential Equation
- Infinitesimal Generator Matrix
- Limiting and Stationary Distributions
- Birth Death Processes
- Poisson processes
- Continuous-time Markov Chains (contd.)
- M/M/1 Queueing Model
- Simple Markovian queueing
- Applications of CTMC
- Queueing networks
- Communication systems
- Stochastic Petri Nets
- Martingales
- Conditional Expectation and filtration
- Definition and simple examples
- Brownian Motion
- Definition and Properties
- Processes Derived from Brownian Motion
- Stochastic Differential Equation
- Renewal Processes
- Renewal Function and Equation
- Generalized Renewal Processes
- Renewal Limit Theorems
- Markov Renewal
- Markov Regenerative Processes
- Non-Markovian Queues
- Application of Markov
- Regenerative Processes
- Branching Processes
- Stationary
- Autoregressive Processes
Evaluation process
To receive a certificate from IIT Delhi and NPTEL, the candidates must score at least 25% in assignments and 75% in the written exam, with a total of 100 marks.
IIT Delhi Frequently Asked Questions (FAQ's)
The duration of this certification course is 12 weeks. The certification course explains stochastic processes and concepts required for the students to conduct experiments and research.
This certification course requires students to have a basic course on Probability. This course is a rerun and core type and is available in online mode.
The certification course curriculum includes a probability theory refresher, an introduction to stochastic processes, problems in random variables and distributions, definition and simple stochastic processes, definition, classification and examples.
Several companies support this certification course such as Goldman Sachs, FinMachenics, Deutsche Bank, and other finance companies.
The students will receive all the announcements and important information through E-Mails and SMS alerts. They can also check on the NPTEL official website course’s announcement page.