Probability Laws Course
Dive into Poisson processes, exponential waiting times, Central Limit Theorem, and various count models with real emergency room data. Master diagnostic techniques, simulation methods, and effective reporting to develop trustworthy, clear probability models for professional use in operations and statistics.
from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with hands-on methods to analyse arrivals and waiting times, especially using emergency room data. You will explore Poisson processes and other count models, exponential and advanced waiting-time distributions, plus applications of the Law of Large Numbers and Central Limit Theorem. Gain skills in simulation, bootstrapping, and model diagnostics to create reliable analyses, test assumptions, compare models, and communicate uncertainties for practical decision-making.
Elevify advantages
Develop skills
- Poisson and count modelling: quickly build, check, and improve ER arrival models.
- Waiting-time analysis: apply exponential and other distributions to actual ER delay data.
- CLT and LLN applications: measure ER averages, risks, and extreme probabilities.
- Simulation and bootstrapping: perform fast Monte Carlo tests and confidence intervals for small samples.
- Model checking and reporting: verify assumptions and produce clear, reliable reports.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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