Timeline for Expected supremum of average?
Current License: CC BY-SA 4.0
5 events
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Dec 19, 2020 at 14:41 | comment | added | esg | In queueing theory this distribution is called the Borel distribution with arrival rate $a$. It is known that it decribes the the number of customers in a busy period of an $M/D/1$ -queue with arrival rate $a$ and deterministic service time 1 - this is essentially equivalent to the statement about $T_a$. I' ll have to look for a moe direct reference. | |
Dec 19, 2020 at 13:06 | comment | added | Viktor B | Do you have a reference for $\mathbb{P}(T_a=n) = \frac{n^{n-1}}{n!} a^{n-1}e^{-an} $ in the exponential case? | |
Nov 21, 2020 at 13:20 | history | edited | esg | CC BY-SA 4.0 |
added 794 characters in body
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Nov 19, 2020 at 19:22 | history | edited | esg | CC BY-SA 4.0 |
Typos corrected
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Oct 20, 2017 at 17:53 | history | answered | esg | CC BY-SA 3.0 |