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**1)**Lets say I am given some some tables or/and graphs or generally speaking some data and I am asked to find out if the Poisson model can describe it. What exactly should I look for?

Should I focus on these 2?

a)Should I prove the Poisson distribution

.

b)Should I prove that it has independent increments?

**2)**If i want to show that Poisson Process isn't suitable, should I just show that mean!=variance or is this not enough?

**3)**As far as the parameter λ is concerned. Ιf It changes over time, then the Poisson Process in non-homogeneous and if it is a constant then it is homogeneous, right?

So If I have some data(events) in a year, in order to be homogeneous, the following equation must hold----->

(x units in t1)/t1=(z units in t2)/t2 ? And if with this logic, I find for 2 periods(

*lets assume that these periods are overlapping,just to see if there is a problem with that*:P ) of time, λ= 800000 units/month and

λ'=800001 units/month then what? Are these considered equal even though they aren't, and if yes, how to know what difference isn't bad enough?

Thanks in advance for your time!