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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-12-01
|
| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X25000230 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849228316667543552 |
|---|---|
| author | Nuno Fachada João P. Matos-Carvalho Carlos M. Fernandes |
| author_facet | Nuno Fachada João P. Matos-Carvalho Carlos M. Fernandes |
| author_sort | Nuno Fachada |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-aa8ca96023734c3e8f56032d3178ea6f |
| institution | Kabale University |
| issn | 2666-657X |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj-art-aa8ca96023734c3e8f56032d3178ea6f2025-08-23T04:49:15ZengElsevierExamples and Counterexamples2666-657X2025-12-01810019610.1016/j.exco.2025.100196A catch-all discrete distribution: Short description and main propertiesNuno Fachada0João P. Matos-Carvalho1Carlos M. Fernandes2Lusófona University, Campo Grande, 376, Lisboa, 1749-024, Portugal; Center of Technology and Systems (UNINOVA-CTS) and Associated Lab of Intelligent Systems (LASI), Caparica, 2829-516, Portugal; Corresponding author at: Lusófona University, Campo Grande, 376, Lisboa, 1749-024, Portugal.LASIGE and Departamento de Informática, Faculdade de Ciências, University of Lisbon, Campo Grande, Lisboa, 1749-016, Portugal; Center of Technology and Systems (UNINOVA-CTS) and Associated Lab of Intelligent Systems (LASI), Caparica, 2829-516, PortugalLusófona University, Campo Grande, 376, Lisboa, 1749-024, Portugal; Center of Technology and Systems (UNINOVA-CTS) and Associated Lab of Intelligent Systems (LASI), Caparica, 2829-516, PortugalConsider 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.http://www.sciencedirect.com/science/article/pii/S2666657X25000230Discrete distributionAll successesEmpirical validationSimulation analysis |
| spellingShingle | Nuno Fachada João P. Matos-Carvalho Carlos M. Fernandes A catch-all discrete distribution: Short description and main properties Examples and Counterexamples Discrete distribution All successes Empirical validation Simulation analysis |
| title | A catch-all discrete distribution: Short description and main properties |
| title_full | A catch-all discrete distribution: Short description and main properties |
| title_fullStr | A catch-all discrete distribution: Short description and main properties |
| title_full_unstemmed | A catch-all discrete distribution: Short description and main properties |
| title_short | A catch-all discrete distribution: Short description and main properties |
| title_sort | catch all discrete distribution short description and main properties |
| topic | Discrete distribution All successes Empirical validation Simulation analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X25000230 |
| work_keys_str_mv | AT nunofachada acatchalldiscretedistributionshortdescriptionandmainproperties AT joaopmatoscarvalho acatchalldiscretedistributionshortdescriptionandmainproperties AT carlosmfernandes acatchalldiscretedistributionshortdescriptionandmainproperties AT nunofachada catchalldiscretedistributionshortdescriptionandmainproperties AT joaopmatoscarvalho catchalldiscretedistributionshortdescriptionandmainproperties AT carlosmfernandes catchalldiscretedistributionshortdescriptionandmainproperties |