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Sums of independent exponential waits with the same rate give gamma waiting times.
Conditions: The exponential waits are independent.; All exponential waits share the same rate.
Sums of independent exponential waits with the same rate give gamma waiting times.
Conditions: The exponential waits are independent.; All exponential waits share the same rate.
Counting successes in a fixed block of trials gives a binomial variable, while counting failures before a fixed number of successes gives a negative binomial variable.
Conditions: Trials are independent with a fixed success probability.; The first scenario involves a fixed total number of trials.; The second scenario involves waiting for a fixed number of successes.
Counting successes in a fixed block of trials gives a binomial variable, while counting failures before a fixed number of successes gives a negative binomial variable.
Conditions: Trials are independent with a fixed success probability.; The first scenario involves a fixed total number of trials.; The second scenario involves waiting for a fixed number of successes.