I have the question: Suppose that events occur according to the non homegenousPo

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I have the question: Suppose that events occur according to the non homegenousPoisson Process with intensity function (t), t => 0.Suppose that independtly of anything that has previously occured,an event at time s will be counted with probability p(s), s =>0. Let Nc(t) denote the number of counted events bytime t. What type of process os {Nc(t), t=>0}? Also, could you please let me know how I would go aboutproving this. Im not really sure where to start Many thanks I have the question: Suppose that events occur according to the non homegenousPoisson Process with intensity function (t), t => 0.Suppose that independtly of anything that has previously occured,an event at time s will be counted with probability p(s), s =>0. Let Nc(t) denote the number of counted events bytime t. What type of process os {Nc(t), t=>0}? Also, could you please let me know how I would go aboutproving this. Im not really sure where to start Many thanks

Explanation / Answer

Sorry, should read: Let Nc(t) denote the number ofcounted events by time t.

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