KnowraMeasurable functionLinked fromLinked fromThe 16 pages that link to Measurable function, each with the reason it gives.All 16Broader topic 2Related 11Narrower topic 3Conditional expectationRelated: Conditional expectations must be measurable with respect to the information they represent.Hölder's inequalityRelated: Measurability makes the functions and products in integral forms well-defined.Lp spaceRelated: Only measurable functions are eligible for the integral defining Lp.Fubini's theoremRelated: Measurability is required for the product-space and iterated integrals in the theorem.Dominated convergence theoremRelated: Measurability makes the functions and their limit eligible for Lebesgue integration.Measure spaceRelated: Measurability makes functions compatible with integration and measure-based probability.Radon–Nikodym theoremRelated: The density supplied by the theorem must be measurable.Filtration (probability theory)Related: Measurability determines whether a random variable is observable at a filtration stage.Real-valued functionRelated: Measurability makes real-valued functions suitable for integration and probability theory.Random vectorRelated: Measurability makes probabilities of vector-valued events well-defined.Lebesgue decomposition theoremRelated: The density of the absolutely continuous component must be measurable.