36 lines
829 B
Markdown
36 lines
829 B
Markdown
---
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id: 2026-01-30T16:29:00-0500
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aliases: []
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title: 2026-01-30 16:29:??
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tags:
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- topic/math/statistics
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dg-publish: true
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daily: "[[2026-01-30]]"
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---
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# 2026-01-30 16:29:??
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### Laplace's Rule of Succession (LRS)
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> [!info]
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> Pierre-Simon Laplace
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If some event occurred $m$ times in $n$ observations,
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the probability the event will occur in the next observation
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is given by:
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$$
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\frac{1+m}{2+n}
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$$
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### Rule of Five
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The probability that any given sample is above the median is 50%.
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The probability that the minimum and maximum values of $n$ samples
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_don't_ straddle the median is $(\frac{1}{2})^{n}$,
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equivalent to getting the same result on a flipped coin
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$n$ times in a row.
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There is a 93.75% chance that the median of a population
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is between the smallest and largest values
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in any random sample of five from that population.
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