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\right)} | char = }} The Cantor distribution is the probability distribution whose cumulative distribution function is the Cantor function. This distribution has neither a probability density function nor a probability mass function, as it is not absolutely continuous with respect to Lebesgue measure, nor has it any point-masses. It is thus neither a discrete nor an absolutely continuous probability distribution, nor is it a mixture of these. Rather it is an example of a singular distribution. Its cumulative distribution function is sometimes referred to as the Devil's staircase, although that term has a more general meaning. == Characterization == The support of the Cantor distribution is the Cantor set, itself the intersection of the (countably infinitely many) sets : The Cantor distribution is the unique probability distribution for which for any ''C''''t'' (''t'' ∈ ), the probability of a particular interval in ''C''''t'' containing the Cantor-distributed random variable is identically 2−''t'' on each one of the 2''t'' intervals. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cantor distribution」の詳細全文を読む スポンサード リンク
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