A catch-all discrete distribution: Short description and main properties

Consider a population of size N where each element has an independent probability p of being a success. By sampling this population without replacement, how many elements need to be drawn to find all successes? This paper describes this discrete distribution, derives its main properties, and validat...

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Bibliographic Details
Main Authors: Nuno Fachada, João P. Matos-Carvalho, Carlos M. Fernandes
Format: Article
Language:English
Published: Elsevier 2025-12-01
Series:Examples and Counterexamples
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666657X25000230
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Summary:Consider a population of size N where each element has an independent probability p of being a success. By sampling this population without replacement, how many elements need to be drawn to find all successes? This paper describes this discrete distribution, derives its main properties, and validates the results through simulation.
ISSN:2666-657X