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Everything about Exponential distribution

Probability distribution

In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate; the distance parameter could be any meaningful mono-dimensional measure of the process, such as time between production errors, or length along a roll of fabric in the weaving manufacturing process. It is a particular case of the gamma distribution. It is the continuous analogue of the geometric distribution, and it has the key property of being memoryless. In addition to being used for the analysis of Poisson point processes it is found in various other contexts. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Exponential distributionA 5-minute orientation
  2. Skim a recent paper: Exponential negation of a probability distributionInfluential work since 2022
  3. Pick up a classic book: Families of exponentialsThe most-reprinted book on the subject
  4. Read the landmark paper: A Multivariate Exponential DistributionCited 1,328 times
  5. Go sideways: Normal-gamma distributionA closely related topic
  6. Go sideways: Relationships among probability distributionsA closely related topic

📖 Definitions

Noun Any of a class of continuous probability distributions used to model the time between events that occur independently at a constant average rate.

🗂️ The subject at a glance

  1. Definitions
  2. Properties
  3. Related distributions
  4. Statistical inference
  5. Occurrence and applications
  6. Random variate generation

🏆 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