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Stumbled upon this *major* mathematical loophole! The logic seems airtight: same moments $\\implies$ same moment-generating function (MGF) $\\implies$ same distribution. Think again! There's a critical glitch hiding in plain sight: even with identical moments, the MGF might not even *exist* for both random variables, completely breaking the chain! 🤯 A necessary reality check for anyone diving deep into probability theory. Be careful what you assume! #MathFacts #ProbabilityTheory #Statistics #Ma
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