Having an issue in a proof::


New member
Oct 11, 2017
Good morning.

My problem is as follow:

I have an event assuming A. The probability that A occurs at time t is: p(t)= e^(-bt)*|sin(at)|. Where a,b are positive parameters

We divide the time in small step times let's say \delta t= 0.125, Then, we count how many time A occur for t =[0, infinity].

So my problem is to study the number of occurrence of A in the variation of the parameter a and b:confused::confused::confused::confused::confused:.
Which I can prove mathematically that for a lower value of b, A occurs more often and for the bigger value of a, A occurs more frequently.

I hope I was clear.
If anyone has any suggestion or idea about how could we do that.
Thank you.