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Diff — Random variable

Revision #646 → #1523 · back to history

addedRandom variable (informal)88fcf1a67ab1
addedRandom variable (measure-theoretic, lead)b16286960d6a
addedRandom variate817266c6412b
addedRandom variable as measurable function45fe8e154d58
addedDiscrete random variabled4e7d36f5303
addedContinuous random variable400f52331502
addedAbsolutely continuous random variable7f6d594a8c1d
addedCumulative distribution functionf178a850d279
addedRandom element2838b371a226
addedProbability distribution of a random variablef90672f5ec1d
addedDiscrete distribution function439cefd20c70
addedPerson's height as random variablee31325addc2d
addedNumber of children as discrete random variablea3749d8c7724
addedCoin toss random variable37af28ca61a7
addedDice roll random variable4dde9f58c3e1
addedContinuous random variable (formal)e207d271a10a
addedSpinner as continuous random variable264e2e42c57b
addedContinuous uniform random variable (CURV)d229b353c0d0
addedMixed random variable0300b31fb263
addedCoin-and-spinner mixed random variable6953643e0009
addedLebesgue decomposition of distributions on the real linec3fe45574379
addedMeasure-theoretic random variablec1eabf0d9ab0
addedE-valued random variable (Borel)ef64eb6c7975
addedReal-valued random variablef22f3a9cc2e7
addedExpected value / first moment9df3b2fb323e
addedGeneralised problem of moments8ee611a4d84a
addedFunction of a random variablea8ae1a28c95f
addedCDF of g(X) for invertible monotone gc2c077754baf
addedDensity transformation under invertible differentiable g6cdf72fd63f4
addedDensity transformation with countably many rootsd353eea591cb
addedComposition of measurable function with random variable is a random variable5b0c394e146e
addedExample 1: function of a continuous random variable729a8074f940
addedExample 2: exponential distribution via transformation88dec761ac15
addedExample 3: chi-squared from standard normal4aea6bfb986b
addedExample 4: noncentral chi-squared from normal27d2c452c9ad
addedDistribution of sum of independent random variables is convolutionb4466786401c
addedProbability distributions form a convex set69098f9c1bae
addedEquality in distribution09b91cfa6ffd
addedEqual MGFs imply same distribution700e2d2225d7
addedAlmost sure equality5e7e3e383ad5
addedEquality of random variables8fa10a288e0a