Monday, April 29, 2013

Distributions


Distributions for Attribute/Finite Data:
Hypergeometric: Probability of r rejects in n sample size for N population size with d total rejects. (Intended for small, finite, well characterized populations)
Binomial: Probability of r rejects in n sample size, where n < 10% of N population size, where chance of success in any given trial always stays the same (p)(Intended for large population sizes)
Poisson: Probability of r rejects (=defects or events) in infinite population size, for a given failure rate (lambda). (Intended for n->infinity & p->0)

Binomial distribution approximates Hypergeometric distribution for large N.
Poisson distribution approximates Binomial distribution when N tends to infinity.

Distributions for Continuous Data: Normal, Lognormal, Exponential, Weibull

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