first success distribution

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English

Noun

first success distribution (plural first success distributions)

  1. Shifted geometric distribution.
    • 2019, Joseph K. Blitzstein, Jessica Hwang, “Expectation” (chapter 4), in Introduction to Probability, 2nd edition, CRC Press, Geometric and Negative Binomial (section 3):
      In a sequence of independent Bernoulli trials with success probability p, let Y be the number of trials until the first successful trial, including the success. Then Y has the First Success distribution with parameter p; we denote this by Y ∼ FS(p).