Selecting without Replacement from a Population of Bands of Serially Connected Objects

James Marengo; Dominick Banasik; Joseph Voelkel; David Farnsworth

doi:10.37119/jpss2026.v24i1.960

Authors

James E. Marengo Rochester Institute of Technology, USA https://orcid.org/0000-0003-0498-0424
Dominick Banasik Rochester Institute of Technology, USA https://orcid.org/0009-0002-1414-7268
Joseph G. Voelkel Rochester Insitute of Technology, USA https://orcid.org/0000-0002-5005-9188
David L. Farnsworth Rochester Institute of Technology, USA https://orcid.org/0000-0003-0251-8770

DOI:

https://doi.org/10.37119/jpss2026.v24i1.960

Abstract

The sampling procedure from a finite population of objects that are serially attached into bands is described and analyzed. One object is randomly selected and removed at a time, which results in that object’s band being broken into two bands or shortened by one object. The main result gives the probability of choosing an object that is part of a band of serially connected objects of any specified size at each stage of the selection process.

Selecting without Replacement from a Population of Bands of Serially Connected Objects

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