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Why belong exponential family for poisson distribution or geometric distribution?
Why belong exponential family for poisson distribution
Why geometric distribution is called lack of memory?
Dhuttor Baal
What kind of distribution is exponential distribution?
Exponential distribution is a function of probability theory and statistics. This kind of distribution deals with continuous probability distributions and is part of the continuous analogue of the geometric distribution in math.
Why is this distribution referred to as a geometric distribution?
The geometric distribution is: Pr(X=k) = (1-p)k-1p for k = 1, 2 , 3 ... A geometric series is a+ ar+ ar2, ... or ar+ ar2, ... Now the sum of all probability values of k = Pr(X=1) + Pr(X = 2) + Pr(X = 3) ... = p + p2+p3 ... is a geometric series with a = 1 and the value 1 subtracted from the series. See related links.
Why geometric distribution only have a memory less property?
This is the only discrete distribution that is memoryless. (In the continuous case the exponential is memoryless.) It's the only one to have this property because it is the only one to count independent trials.
