Abstract
This article considers a way to test the hypothesis that two collections of objects are from the same uniform distribution of such objects. The exact p-value is calculated based on the distribution for the observed overlaps. In addition, an interval estimate of the number of distinct objects, when all objects are equally likely, is indicated.
Original language | American English |
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Pages (from-to) | 3063-3077 |
Number of pages | 15 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 53 |
Issue number | 9 |
Early online date | Nov 21 2022 |
DOIs | |
State | Published - 2024 |
Externally published | Yes |
Keywords
- Coupon collector problem
- Hypergeometric distribution
- Hypothesis testing
- Recursion
- Sampling with replacement
- sampling with replacement
- hypothesis testing
- hypergeometric distribution
- recursion
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Ross, PhD, ScM, E. A. (Director), Devarajan, PhD, K. (Staff), Zhou, PhD, Y. (Staff), Zhou, MSE, PhD, Y. (Staff), Egleston, PhD, MPP, B. (Staff), Hasler, PhD, J. S. (Staff) & Zhang, PhD, L. (Staff)
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