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Everything about Geometric distribution

Probability distribution

In probability theory and statistics, the geometric distribution is either one of two discrete probability distributions:The probability distribution of the number of Bernoulli trials needed to get one success, supported on ; The probability distribution of the number of failures before the first success, supported on. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Geometric distributionA 5-minute orientation
  2. Skim a recent paper: A Unit Half-Logistic Geometric Distribution and Its Application in InsuranceInfluential work since 2022
  3. Pick up a classic book: Geometric aspects of probability theory and mathematical statisticsThe most-reprinted book on the subject
  4. Read the landmark paper: The Weibull-geometric distributionCited 134 times
  5. Go sideways: Bernoulli distributionA closely related topic
  6. Go sideways: Beta distributionA closely related topic

📖 Definitions

Noun Either of two slightly different discrete probability distributions, each based on repetitions of a trial with "success" probability p: (1) the number X of trials required to obtain one success, or (2) the number Y = X − 1 of failed trials before the first success.

🗂️ The subject at a glance

  1. Definition
  2. Properties
  3. Entropy and Fisher's information
  4. Related distributions
  5. Statistical inference
  6. Random variate generation
  7. Applications

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics