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:<math> E[{N}(B)]=E\left( \sum_{x\in {N}}1_B(x)\right) \qquad \text{or} \qquad \int_{\textbf{N}}\sum_{x\in {N}}1_B(x) P(d{N}). </math>
which is also known as the first [[moment measure]] of <math> {N}</math>. The expectation of such a random sum, known as a ''shot noise process'' in the theory of point processes, can be calculated with [[Campbell's theorem (probability)|Campbell's theorem
==Uses in other fields==
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