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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)

1: What is the duration of the Stochastic Processes - 1 certification course?

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.

2: What is the prerequisite for the Stochastic Processes - 1 online course?

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.

3: What is the Stochastic Processes - 1 online course curriculum?

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.

4: Which companies support Stochastic Processes - 1 certification course?

Several companies support this certification course such as Goldman Sachs, FinMachenics, Deutsche Bank, and other finance companies.

5: How can students know the assignments and deadlines?

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.