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Probability for Quants

Module 20:
Arrival counts, waiting times and random incidence

Phase 4 · Sequential Probability & Quant Applications

4 Lessons

1 Research Depth

Module 20

What this module is for

Both. This is a controlled bridge into stochastic processes: homogeneous arrivals and simple waiting models, not general point-process theory.

Lesson 20.1 · Core

From Poisson counts to a Poisson process

Depth: Working proficiency

QT/QR relevance: Both; elementary event-arrival models

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Lesson 20.2 · Core

Superposition, thinning and competing streams

Depth: Interview mastery

QT/QR relevance: Both; multiple event sources

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Lesson 20.3 · Core

Conditioning on counts and compound arrivals

Depth: Working proficiency

QT/QR relevance: Both, especially QR; event-based aggregate models

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Lesson 20.4 · Research Depth

Inspection paradox and length-biased sampling

Depth: Working proficiency — Extension

QT/QR relevance: Both; interpreting waiting-time observations

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Assessment

Module 20 assessment

Open assessment · No submitted assessment yet

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