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Results tagged with measure-theory
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user 79962
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
1
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Bivariate integration with the range of one variable shrinking to a point
Let $f(x,y)$ be a measurable function defined on $(\mathbb{R}^2, \mathcal{B}(\mathbb{R}^2))$. Define $C_{\epsilon} = \{y:d(y, y_0)\leq \epsilon\}$, then can we say for sure that the integration
$$
\in …
- 53
4
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The Levy measure of the compound Poisson distribution
The compound Poisson distribution is defined as(see Levy processes and infinitely divisible distributions page: 18):
Let $c>0$ and $\sigma$ be a measure on $\mathbb{R}$ with $\sigma(\{0\})=0$, a comp …
- 53