16. Consider a renewal process N(t) with associated distribution function F(x). Define m(t) = E[N(t)]. Show that m(t) satisfies the renewal equation ma(1) = z₂(1) + √m(t—t) dF(t), where (1) JE()‚‹- Hint: Use the renewal argument. k= 1, 2, ..., m(t-t) dF(t).
16. Consider a renewal process N(t) with associated distribution function F(x). Define m(t) = E[N(t)]. Show that m(t) satisfies the renewal equation ma(1) = z₂(1) + √m(t—t) dF(t), where (1) JE()‚‹- Hint: Use the renewal argument. k= 1, 2, ..., m(t-t) dF(t).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![16. Consider a renewal process N(t) with associated distribution function F(x).
Define m,(t) = E[N(t)*]. Show that m,(t) satisfies the renewal equation
m,() =#¾(e) + J m,(t – t) d F(t),
k= 1, 2, ...,
where
m(t -
dF(t).
Ilint: Use the renewal argument.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5deb2e2-f362-4c35-b288-5e239ce21e1f%2F35cefee6-f415-4f6e-adeb-de2a9a003276%2Flrlfltb_processed.png&w=3840&q=75)
Transcribed Image Text:16. Consider a renewal process N(t) with associated distribution function F(x).
Define m,(t) = E[N(t)*]. Show that m,(t) satisfies the renewal equation
m,() =#¾(e) + J m,(t – t) d F(t),
k= 1, 2, ...,
where
m(t -
dF(t).
Ilint: Use the renewal argument.
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