Poisson Process Courses and Certifications

Steve Brunton

The Connection Between the Exponential Distribution and the Poisson Process

Explore the relationship between exponential distribution and Poisson process, including practical examples like email arrivals and mathematical foundations of event timing probabilities.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Modelling events in time

2 ratings at OpenLearn

This free course develops ideas about probability and random processes. Sections 1 and 2 introduce the fundamental ideas of random processes through a series of examples. Section 3 describes a ...

• OpenLearn
• 16 hours
• Self-Paced
• Free Certificate

Hausdorff Center for Mathematics

Random Polytopes II

Explore beta and beta' polytopes in stochastic geometry, including random cones, Poisson cells, and spherical objects. Learn to compute expected angles and express model functionals.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Zakhar Kabluchko - Random Polytopes

Introduction to beta polytopes: convex hulls of samples from beta density on unit ball and beta' density on Euclidean space. Explores models in stochastic geometry reducible to these polytopes.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Boolean Models in Hyperbolic Space

Explore geometric functionals of Boolean models in hyperbolic space, examining volume intersections, asymptotic behaviors, and statistical properties, revealing unique phenomena compared to Euclidean counterparts.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Fields Institute

Impulse Control Under Poisson Timing Constraints

Explore impulse control strategies with Poisson timing constraints and their applications in finance and insurance through this mathematical analysis presentation.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Mathemaniac

Queuing Theory and Poisson Process

Introduction to M/M/1 queue model and Poisson process, covering fundamental concepts of queuing theory. Explores key principles and applications in simple queuing systems.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Steve Brunton

The Gamma Distribution: Waiting Time for the r-th Event in a Poisson Process

Explore the gamma distribution, its relationship to exponential distribution, and its derivation as the waiting time for the r-th event in a Poisson process, with practical examples.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Probabilistic Systems Analysis and Applied Probability

A course on the modeling and analysis of random phenomena and processes, including the basics of statistical inference.

• MIT OpenCourseWare
• 21 hours
• Self-Paced
• Free Video

Discrete Stochastic Processes

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 Discrete stochastic processes.

• MIT OpenCourseWare
• 33 hours
• Self-Paced
• Free Video

Comprehensive resource for probability, statistics, and random processes, featuring textbook, video lectures, online calculators, and solutions manual for engineering and mathematics students.

• Independent
• Self-Paced
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Poisson-Dirichlet Distribution for the Interchange Process in Five Dimensions

Explores the emergence of macroscopic cycles in the interchange process on high-dimensional tori, proving convergence to Poisson-Dirichlet distribution for cycle lengths in dimensions 4 and above.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Iain Explains Signals, Systems, and Digital Comms

Random Processes - Mathematical Models and Applications in Signal Processing

Explore mathematical models of random processes, their properties, and applications in parameter estimation for noisy measurements and digital communications.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

M/G/1 Queue - Expected Busy Period, Waiting Time, and PASTA - Lecture 37

Explore M/G/1 queues, analyzing busy periods, waiting times, PASTA principle, and Little's theorem for enhanced understanding of queueing systems.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Steve Brunton

The Exponential Distribution: Time Between Poisson Events

Explore the exponential distribution for time between Poisson events, including memoryless properties and applications in lightbulb lifetimes and radioactive decay.

• YouTube
• 19 minutes
• Self-Paced
• Free Video