https://wiki.lojban.io/index.php?action=history&feed=atom&title=pabykanpystikapabykanpystika - Revision history2026-04-28T13:25:43ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=pabykanpystika&diff=12182&oldid=prevNalvaizmiku: Import words via API2026-01-13T15:56:39Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
pabykanpystika<br />
==== type ====<br />
lujvo<br />
==== creator ====<br />
[[personal/bairyn|bairyn]]<br />
==== time entered ====<br />
Thu May 8 18:29:05 2025<br />
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== English ==<br />
=== Definition #73943 - Preferred ===<br />
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==== definition ====<br />
x<sub>1</sub>=s<sub>1</sub> is evidence for x<sub>2</sub>=k<sub>2</sub> with evidence strength x<sub>3</sub>=s<sub>3</sub>=p<sub>1</sub> (numerator x<sub>4</sub>=p<sub>2</sub>, denominator x<sub>5</sub>=p<sub>3</sub>, believer x<sub>6</sub>=k<sub>1</sub>, new odds x<sub>7</sub>=k<sub>3</sub>, old odds x<sub>8</sub>=s<sub>2</sub>); x<sub>1</sub> is Bayesian evidence for belief / prediction / hypothesis x<sub>2</sub>, with evidence magnitude / strength (and direction), as a likelihood ratio as odds, x<sub>3</sub> since the hypothesis predicts the evidence to degree / with probability x<sub>4</sub> and since not-hypothesis predicts the evidence to degree / with probability x<sub>5</sub>, updating x<sub>6</sub>'s belief strength / odds / confidence to posterior odds / new confidence x<sub>7</sub> from prior odds / old confidence x<sub>8</sub>; x<sub>1</sub> is evidence for x<sub>2</sub> with evidence strength and direction x<sub>3</sub> due to how much better (or worse) the hypothesis predicts the evidence (amount x<sub>4</sub>) than not-hypothesis predicts the evidence (amount x<sub>5</sub>), according to knowledge / truth / subjective probability judge / assigner / evaluator x<sub>6</sub>, who after accounting for the evidence has odds in the hypothesis x<sub>7</sub> after prior odds x<sub>8</sub>.<br />
==== notes ====<br />
This is evidence as understood in a Bayesian framework, arising from Bayes' theorem. Evidence, in terms of Bayes' rule, updates degrees of belief by decomposing the update of the probability / magnitude to the posterior (afterwards) probability of the belief into its prior (before) probability and (multiplied by) the likelihood ratio. The likelihood ratio represents how much better the belief predicts the evidence (how likely is the evidence if the hypothesis is true?) than not-belief predicts the hypothesis (how likely is the evidence if the hypothesis is false?). It is derived mathematically from probability theory.<br />
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ni'o This formulation uses Bayes' rule formulation, not the Bayes' theorem style. They are equivalent, but Bayes' rule allows separation of the evidence strength from the prior odds, providing for an intuitive form of just newOdds ＝ oldOdds ⋅ evidenceStrength, since it uses odds, except in the likelihood ratio (the likelihood ratio is evidenceStrength), the numerator and the denominator are probabilities (it's a ratio of probabilities, but otherwise it's in terms of odds). The Bayes' Theorem style, an equivalent formula, does not use odds but only probability.<br />
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ni'o Useful for science.<br />
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ni'o See also: [[ni'i'e|ni'i'e]].<br />
==== gloss words ====<br />
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<ul><li>[[natlang/en/evidence|evidence ; science]]</li></ul><br />
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==== place keywords ====<br />
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1.<br />
[[natlang/en/evidence|evidence ; science]]<br />
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2.<br />
[[natlang/en/hypothesis|hypothesis ; science]]<br />
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3.<br />
[[natlang/en/likelihood ratio|likelihood ratio ; Bayes' rule]]<br />
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==== created by ====<br />
[[personal/bairyn|bairyn]]<br />
==== vote information ====<br />
1<br />
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==== time ====<br />
Wed Jun 4 18:49:19 2025<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===<br />
== Simple English ==<br />
=== Definition #73991 ===<br />
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==== definition ====<br />
x<sub>1</sub>=s<sub>1</sub> is evidence for x<sub>2</sub>=k<sub>2</sub> with strength of evidence x<sub>3</sub>=s<sub>3</sub>=p<sub>1</sub> (numerator x<sub>4</sub>=p<sub>2</sub>, denominator x<sub>5</sub>=p<sub>3</sub>, believer x<sub>6</sub>=k<sub>1</sub>, new odds x<sub>7</sub>=k<sub>3</sub>, old odds x<sub>8</sub>=s<sub>2</sub>).<br />
==== notes ====<br />
Bayesian evidence.<br />
==== gloss words ====<br />
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<ul><li>[[natlang/en-simple/evidence|evidence ; science]]</li></ul><br />
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==== place keywords ====<br />
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1.<br />
[[natlang/en-simple/evidence|evidence ; science]]<br />
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==== created by ====<br />
[[personal/bairyn|bairyn]]<br />
==== vote information ====<br />
1<br />
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==== time ====<br />
Sat May 10 03:30:54 2025<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===</div>Nalvaizmiku