0
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0answers
91 views

Theorem Leads for tied-down random walk

scribd.com/doc/87930409/18/Leads-for-tied-down-random-walk [Theorem 3.7, page 38] Could you explain me the last equality in the proof? I mean this: $$\frac{2[\sqrt{1 - s^2t^2} - ...
10
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1answer
342 views

Elephant populations (and Dyck words)

Hello, I'm relatively new to this forum so apologies if I have tagged my question incorrectly. I have been in contact with a wildlife biologist recently concerning counting elephant populations and ...
7
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1answer
737 views

Generating function for Random Walk Hitting Time, taking the wrong root

In a calculation of the hitting time for a Bernoulli random walk we have to calculate the hitting time $\tau(1)=\inf\{n\ge 0:S_n=1\}$ to reach $+1$ and the generating function has the recursion ...