If [tex]P(q_1,q_2)[/tex] is probability distribution for two random variables [tex]q_1,q_2[/tex], let us define(adsbygoogle = window.adsbygoogle || []).push({});

[tex]q=\frac{q_1+q_2}{2}[/tex]

Probability distribution for q is then

[tex]P'(q)=\int dq_1dq_2\delta (q-\frac{1}{2}(q_1+q_2)P(q_1,q_2)=\langle \delta (q-\frac{1}{2}(q_1+q_2) \rangle_P [/tex]

Why?

What is label [tex]\langle \cdot \rangle_P[/tex] exactly?

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# Distribution question

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