enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Negative binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Negative_binomial_distribution

    Different texts (and even different parts of this article) adopt slightly different definitions for the negative binomial distribution. They can be distinguished by whether the support starts at k = 0 or at k = r, whether p denotes the probability of a success or of a failure, and whether r represents success or failure, [1] so identifying the specific parametrization used is crucial in any ...

  3. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The negative hypergeometric distribution, a distribution which describes the number of attempts needed to get the nth success in a series of Yes/No experiments without replacement. The Poisson binomial distribution, which describes the number of successes in a series of independent Yes/No experiments with different success probabilities.

  4. (a,b,0) class of distributions - Wikipedia

    en.wikipedia.org/wiki/(a,b,0)_class_of_distributions

    Only the Poisson, binomial and negative binomial distributions satisfy the full form of this relationship. These are also the three discrete distributions among the six members of the natural exponential family with quadratic variance functions (NEF–QVF).

  5. Relationships among probability distributions - Wikipedia

    en.wikipedia.org/wiki/Relationships_among...

    If X is a negative binomial random variable with r large, P near 1, and r(1 − P) = λ, then X approximately has a Poisson distribution with mean λ. Consequences of the CLT: If X is a Poisson random variable with large mean, then for integers j and k , P( j ≤ X ≤ k ) approximately equals to P ( j − 1/2 ≤ Y ≤ k + 1/2) where Y is a ...

  6. Beta negative binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Beta_negative_binomial...

    The beta negative binomial is non-identifiable which can be seen easily by simply swapping and in the above density or characteristic function and noting that it is unchanged. Thus estimation demands that a constraint be placed on r {\displaystyle r} , β {\displaystyle \beta } or both.

  7. Expected value - Wikipedia

    en.wikipedia.org/wiki/Expected_value

    Binomial distribution; ... Using the definition for non-negative random variables, one can show that both E ... (or expectation operator) ...

  8. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    A Binomial distributed random variable X ~ B(n, p) can be considered as the sum of n Bernoulli distributed random variables. So the sum of two Binomial distributed random variables X ~ B(n, p) and Y ~ B(m, p) is equivalent to the sum of n + m Bernoulli distributed random variables, which means Z = X + Y ~ B(n + m, p). This can also be proven ...

  9. Negative hypergeometric distribution - Wikipedia

    en.wikipedia.org/wiki/Negative_hypergeometric...

    Negative-hypergeometric distribution (like the hypergeometric distribution) deals with draws without replacement, so that the probability of success is different in each draw. In contrast, negative-binomial distribution (like the binomial distribution) deals with draws with replacement , so that the probability of success is the same and the ...