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Term in measure theory

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  • Begriff in der Maßtheorie (de)
  • term in measure theory (en)
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  • Definition 1: Suppose is a measure space, and let be a real-valued measurable function. The distribution function associated with is the function given byIt is convenient also to define . (en)
  • Definition 2. Let be a finite measure on the space of real numbers, equipped with the Borel -algebra. The distribution function associated to is the function defined by (en)
  • Definition 3: Given the measure space , if is finite on compact sets, then the nondecreasing right-continuous function with such that is called the canonical distribution function associated to . (en)
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  • Distribution function (measure theory) (en)
  • Verteilungsfunktion (Maßtheorie) (de)
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