Naor''s distribution, Advanced Statistics

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Naor's distribution is the discrete probability distribution which arises from the following model;

Assume an urn contains n balls of which one is red and the remainder is white.

Sampling with the replacement of a white ball (if drawn) by the red ball continues until the red ball is drawn. Then the probability distribution of the needed number of draws,

Y, is

1505_Naor distributin.png

after n - 1 draws urn contains only the red balls and so no more than n draws are needed.


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