 GeometricNick T. Thomopoulos
Chapter Chapter 15 in Statistical Distributions, 2017, pp 127-133 from Springer Abstract: Abstract The geometric distribution applies when an experiment is run repeatedly until a successful outcome occurs, and the probability of a success is the same for all trials. The random variable could be defined as the number of fails till the first success, and has a range of integers zero and above. The random variable could also be labeled as the number of trials till the first success and the range is integers one and above. Both scenarios are described in the chapter. This situation occurs, for example, when a process produces units that need to meet acceptable engineering standards, and the process is repeated until an acceptable unit is produced. When the probability of a successful outcome is not known, sample data can be used to estimate the probability. Sometimes, no sample data is available, and a person of experience offers an approximation on the distribution and this data is used to estimate the probability of a successful outcome. The chapter also describes how the geometric distribution is the only discrete distribution that has a memory less property. Date: 2017 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-65112-5_15 Ordering information: This item can be ordered from DOI: 10.1007/978-3-319-65112-5_15 Access Statistics for this chapter More chapters in Springer Books from Springer |
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