On the joint behavior of types of coupons in generalized coupon collection (Q2898914)
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scientific article; zbMATH DE number 6055129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the joint behavior of types of coupons in generalized coupon collection |
scientific article; zbMATH DE number 6055129 |
Statements
12 July 2012
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urn model
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random structure
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stochastic process
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coupon collection
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phase
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On the joint behavior of types of coupons in generalized coupon collection (English)
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The paper studies the most basic form of the ``coupon collection problem'' which concerns the distribution of \(j\) items, independently and random to \(n\) cells (thought of as coupons), where a coupon is ``collected'' if the cell is occupied. Questions of interest then include the following. (i) What is the distribution of the number of uncollected coupons (or the number collected exactly once, etc.)? (ii) What is the expected number of items that must be placed in order that all cells be occupied (all coupons collected)? The authors investigate the joint behavior of coupons of different types across the phases of collection.
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