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Amaan M
Amaan M
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Say you have a set of repeated Bernoulli trials until you get to the $r$th success. Think of that set of Bernoulli trials as one negative binomial experiment. The frequentist interpretation says that if you run that experiment over and over, as the number of experiments gets larger and larger, the distribution of the number of Bernoulli trials required for $r$ successes converges to the negative binomial expectationdistribution.

Say you have a set of repeated Bernoulli trials until you get to the $r$th success. Think of that set of Bernoulli trials as one negative binomial experiment. The frequentist interpretation says that if you run that experiment over and over, as the number of experiments gets larger and larger, the distribution of the number of Bernoulli trials required for $r$ successes converges to the negative binomial expectation.

Say you have a set of repeated Bernoulli trials until you get to the $r$th success. Think of that set of Bernoulli trials as one negative binomial experiment. The frequentist interpretation says that if you run that experiment over and over, as the number of experiments gets larger and larger, the distribution of the number of Bernoulli trials required for $r$ successes converges to the negative binomial distribution.

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Amaan M
Amaan M
  • 2.8k
  • 1
  • 7
  • 21

Say you have a set of repeated Bernoulli trials until you get to the $r$th success. Think of that set of Bernoulli trials as one negative binomial experiment. The frequentist interpretation says that if you run that experiment over and over, as the number of experiments gets larger and larger, the distribution of the number of Bernoulli trials required for $r$ successes converges to the negative binomial expectation.