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Is it valid to define a conditional probability in this way?

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#probability #probability-theory #measure-theory #lebesgue-measure #measurable-functions
400
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Pointwise convergence of an increasing sequence of step functions to a measurable function.

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#measure-theory #measurable-functions #pointwise-convergence #step-function
166
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Measure theory books emphasizing on the approximation of measurable functions by a sequence of simple and step functions.

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#measure-theory #reference-request #self-learning #measurable-functions #step-function
323
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Finding an increasing sequence of step functions which converges pointwise everywhere to $χ_{[0,1]\cap\mathbb Q}(x)·x$

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#measure-theory #measurable-functions #pointwise-convergence #step-function
352
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Is a function measurable on subset if its measurable on set?

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#measure-theory #measurable-functions
155
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Does there exist a measurable function with a specific property?

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#integration #measure-theory #lebesgue-integral #lebesgue-measure #measurable-functions
228
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About measurablility of Caratheodory maps

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#measurable-functions #set-valued-analysis
38
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Absorbing ball in the space of measurable functions

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#random-variables #measurable-functions
129
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Measurability condition for stochastic equicontinuity

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#probability #statistics #measurable-functions
134
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Howcome there is this simple counterexample to a result about measurable functions?

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#functional-analysis #lebesgue-measure #cantor-set #measurable-functions
69
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Show $ \int g$ d$\mathbb{P}_n = \frac{1}{n} \sum_{i=1}^n g(y_i) $ for any measurable function $g$.

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#integration #analysis #statistics #measurable-functions
78
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Extending the lim function

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#sequences-and-series #convergence-divergence #descriptive-set-theory #measurable-functions
497
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measurability of argmin

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#functional-analysis #measure-theory #optimization #calculus-of-variations #measurable-functions
93
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Some properties of convex functions $ g : \mathbb{R} \rightarrow \mathbb{R}$.

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#real-analysis #probability #statistics #convex-analysis #measurable-functions
77
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Finding a function $f\in L^p \setminus L^q$ for $0<p<q<\infty$

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#measure-theory #lp-spaces #measurable-functions

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