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Some Instructional Issues in Hypergeometric Distribution

Pakistan Journal of Statistics and Operation Research

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Title Some Instructional Issues in Hypergeometric Distribution
Creator Joarder, Anwar H.; Department of Mathematics and Statistics
King Fahd University of Petroleum and Minerals
Dhahran 31261, Saudi Arabia
Hypergeometric Distribution, Without Replacement

Description A brief introduction to sampling without replacement is presented. We represent the probability of a sample outcome in sampling without replacement from a finite population by three equivalent forms involving permutation and combination. Then it is used to calculate the probability of any number of successes in a given sample. The resulting forms are equivalent to the well known mass function of the hypergeometric distribution. Vandermonde’s identity readily justifies different forms of the mass function. One of the new form of the mass function embodies binomial coefficient showing much resemblance to that of binomial distribution. It also yields some interesting identities. Some other related issues are discussed.
Publisher College of Statistical and Actuarial Sciences
Date 2012-07-01
Type info:eu-repo/semantics/article
Peer-reviewed Article
Format application/pdf
Source Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012; 669-684
Language eng