Filtration (mathematics)

How can we predict future events with uncertainty?

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Filtration (mathematics)

How can we predict future events with uncertainty?

Imagine you're planning a picnic and want to know if it will rain tomorrow. You check the weather forecast, but it's not certain.

Think of the weather forecast as a series of clues that get more detailed over time. A stopping time is when you finally get a clear answer about tomorrow's weather.

Example

You check the forecast at 9 AM (F1), 12 PM (F2), and 3 PM (F3). You decide to stop checking when you get a definite answer at 12 PM (F2).

Remember this

A stopping time is when you stop looking for more clues because you've got a definitive answer.

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