[ad_1] <br><div><div><div><div class="speechify-ignore ac cp"><div class="speechify-ignore bh m"><div class="ac jp jq jr js jt ju jv jw jx jy jz"><div class="ac r jz"><div class="ac ka"><div><div class="bm" aria-hidden="false" role="tooltip"><div tabindex="-1" class="be"><div class="m kb kc bx kd ke"><div class="m fl"><img alt="ab1sh3k" class="m fd bx by bz cx" src="https://miro.medium.com/v2/resize:fill:64:64/1*Ce7luPAAQkUeJwUksJfxpA.jpeg" width="32" height="32" loading="lazy" data-testid="authorPhoto"/></div></div></div></div></div></div><span class="bf b bg ab bk"/></div></div></div></div></div></div><blockquote class="nv nw nx"><p id="1bb1" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">“In an unsure world, the most effective benefit isn’t being proper — it’s getting righter, sooner.”</p></blockquote><p id="e366" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Bayesian likelihood just isn't a Silicon Valley buzzword or a dusty formulation from an 18th-century textbook. It's the silent, disciplined framework that powers fashionable science, machine studying, and elite investing. It's the cause Google Translate improves by the hour, how hedge funds evolve their edge, and the way NASA recalibrates its trajectory mid-flight.</p><p id="4e56" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">And for these staring on the flickering charts of Bitcoin, it'd simply be your compass.</p><p id="9050" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">This isn't a hype-filled ode to crypto. It's a meditation on the artwork of considering in possibilities, particularly in a world the place conviction is straightforward, however correctness is uncommon.</p><figure class="ox oy oz pa pb pc ou ov paragraph-image"><div role="button" tabindex="0" class="pd pe fl pf bh pg"><span class="fu ph pi an pj fx pk fz pl speechify-ignore">Zoom picture might be displayed</span><div class="ou ov ow"><img alt="" class="bh fw pm c" width="700" height="1050" loading="eager" role="presentation"/></div></div></figure><p id="d486" class="pw-post-body-paragraph ny nz io ob b oc qj oe of og qk oi oj go ql ol om gr qm oo op gu qn or os ot hq bk">Let’s begin with the fundamentals, demystified.</p><blockquote class="nv nw nx"><p id="e379" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Bayesian likelihood = how rational brokers replace their beliefs in gentle of latest proof.</p></blockquote><p id="661f" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Distinction this with classical (frequentist) statistics, which fixates on long-run outcomes. Bayesian reasoning is messier — and extra human. It accepts that we reside within the fog. That our beliefs are constructed on guesses. And that new info ought to refine, not wreck, our worldview.</p><p id="84ca" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">The equation is straightforward, elegant, and highly effective:</p><figure class="ox oy oz pa pb pc ou ov paragraph-image"><div class="ou ov qo"><img alt="" class="bh fw pm c" width="435" height="101" loading="lazy" role="presentation"/></div></figure><p id="4367" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">The place:</p>$P(H | E)$ = Posterior likelihood: What you consider now, after seeing the proof.$P(H)$ = Prior likelihood: What you believed earlier than the proof.$P(E | H)$ = Chance: How anticipated the proof is, given your speculation.$P(E)$ = Marginal chance: How seemingly the proof is total, throughout all hypotheses.<p id="6cc7" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">In plain English?</p><blockquote class="nv nw nx"><p id="268b" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">New Perception = Previous Perception × Shock Issue</p></blockquote><p id="7f98" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">If one thing stunning occurs that matches your idea… you strengthen your perception.</p><p id="01fd" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">If it contradicts your idea… you weaken it.</p><p id="f70e" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">It’s not about flipping a swap. It’s about adjusting a dial.</p><p id="d2ad" class="pw-post-body-paragraph ny nz io ob b oc qj oe of og qk oi oj go ql ol om gr qm oo op gu qn or os ot hq bk">Think about this: You get up to a blue sky. You verify your climate app. It says 80% probability of thunderstorms.</p><p id="83ab" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">You pause. There are not any clouds. No wind. However you belief the app’s observe document.</p><blockquote class="nv nw nx"><p id="f0e6" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Previous perception: 10% probability of rain (based mostly on visible cues). New proof: Forecast says 80% probability.</p></blockquote><p id="f5d2" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">You mentally modify. Possibly now you consider there’s a 60% probability it would rain. You seize your umbrella.</p><p id="7d2e" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">That’s Bayesian reasoning.</p><p id="3adb" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">You didn’t witness the storm. You up to date your perception based mostly on new knowledge.</p><p id="7f59" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">It’s not about being proper. It’s about staying adaptive.</p><p id="632d" class="pw-post-body-paragraph ny nz io ob b oc qj oe of og qk oi oj go ql ol om gr qm oo op gu qn or os ot hq bk">Unhealthy buyers ask: “Will Bitcoin hit $200K or not?”</p><p id="9a18" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Bayesian thinkers ask:</p><blockquote class="nv nw nx"><p id="b188" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">“Given new proof — institutional flows, macro tendencies, code enhancements — how ought to I modify the likelihood that Bitcoin turns into international onerous cash?”</p></blockquote><p id="62eb" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">This transforms investing from a slot machine right into a science experiment.</p><p id="1e9f" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">It modifications your portfolio from a bet right into a speculation.</p><p id="8313" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">It allows you to:</p>Be early with out being recklessBe cautious with out being blindBe improper with out being ruined<p id="4a4a" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">And that makes all of the distinction.</p><p id="359f" class="pw-post-body-paragraph ny nz io ob b oc qj oe of og qk oi oj go ql ol om gr qm oo op gu qn or os ot hq bk">Let’s stroll by means of how Bayesian logic maps Bitcoin’s journey.</p><figure class="ox oy oz pa pb pc ou ov paragraph-image"><div role="button" tabindex="0" class="pd pe fl pf bh pg"><span class="fu ph pi an pj fx pk fz pl speechify-ignore">Zoom picture might be displayed</span><div class="ou ov qx"><img alt="" class="bh fw pm c" width="700" height="310" loading="lazy" role="presentation"/></div></div></figure><p id="c5c9" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">The takeaway?</p><p id="cc19" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Bitcoin isn’t a sure/no guess. It’s a dynamic thesis.</p><p id="a9a3" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Yearly is one other knowledge level.</p><p id="57fc" class="pw-post-body-paragraph ny nz io ob b oc qj oe of og qk oi oj go ql ol om gr qm oo op gu qn or os ot hq bk">Suppose you consider there’s a 20% probability Bitcoin turns into a world financial layer.</p><p id="0f8c" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Then you definitely be taught {that a} main pension fund simply allotted 1% of its capital to BTC.</p><p id="851a" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">You estimate:</p>If Bitcoin succeeds, such an occasion has an 80% probability of occurring.If Bitcoin fails, such an occasion has solely a 5% probability.<p id="f88f" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Now replace:</p><figure class="ox oy oz pa pb pc ou ov paragraph-image"><div class="ou ov qy"><img alt="" class="bh fw pm c" width="696" height="105" loading="lazy" role="presentation"/></div></figure><p id="7696" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">Your perception jumps from 20% to 80%. Not on religion, however on evidence-weighted logic.</p><p id="5022" class="pw-post-body-paragraph ny nz io ob b oc qj oe of og qk oi oj go ql ol om gr qm oo op gu qn or os ot hq bk">We're coping with:</p>Speculation (H): Bitcoin turns into a world financial layer.Prior Likelihood, P(H) = 20% or 0.20<p id="3aad" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">We then observe some new proof (E):</p><blockquote class="nv nw nx"><p id="a5bb" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">A serious pension fund allocates 1% of its capital to BTC.</p></blockquote><p id="c088" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">We wish to compute the posterior likelihood:</p><blockquote class="nv nw nx"><p id="15ee" class="ny nz oa ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">What's the likelihood Bitcoin turns into international cash given this new proof?</p></blockquote><p id="40f9" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">That is the place Bayes’ Theorem is available in:</p><p id="450b" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">The place:</p>P(H∣E): Posterior (up to date) perception in Bitcoin given the evidenceP(E∣H): Chance of observing this proof if Bitcoin will succeed = 0.80P(H): Prior perception = 0.20P(E): Whole likelihood of the proof = sum over all methods it might happen<p id="cecf" class="pw-post-body-paragraph ny nz io ob b oc od oe of og oh oi oj go ok ol om gr on oo op gu oq or os ot hq bk">We additionally know:</p>P(E∣¬H): Chance of observing the proof if Bitcoin fails = 0.05P(¬H): Likelihood Bitcoin doesn't succeed = 0.80</div> <br>[ad_2] <br><a href="https://medium.com/thecapital/the-art-of-thinking-from-gut-feels-to-grounded-conviction-a-bayesian-guide-to-betting-on-268e1aed7051?source=rss----c4037b4d8519---4">Source link </a>