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Graduate Sums of Independent (but not identically distributed) Random Variables
Bpet: Yes, the parameters are all distinct. Perhaps, you are thinking of a Hypoexponential distribution (also called a Generalized Erlang distribution, I think), which in my case it certainly is. The question is can we get a clean (easily usable like the Hoeffding, Chernoff bounds etc.) tail...- sv79
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- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Sums of Independent (but not identically distributed) Random Variables
I am looking for a Hoeffding-type result that bounds the tail of a sum of independent, but not identically distributed random variables. Let X_1,..,X_n be independent exponential random variables with rates k_1,...,k_n. (Note: X_i's are unbounded unlike the case considered by Hoeffding) Let S=...- sv79
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- Distributed Independent Random Random variables Sums Variables
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- Forum: Set Theory, Logic, Probability, Statistics