List of probability distributions Many probability distributions that are important in theory or applications have been given specific names.

In this appendix, we provide a short list of common distributions. For each distribu-tion, we note the expression where the pmf or pdf is defined in the text, the formula for the pmf or pdf, its …

In this chapter, we will cover a few probability distributions (or families of distributions) that are frequently used for basic and applied statistical analyses.

Each discrete distribution is determined by a probability mass function f which gives the probabilities for the various outcomes, so that f(x) = P (X=x), the probability that a random …

Mar 25, 2025 · Different probability distributions have been defined as a result of centuries of research to model different types of random phenomena, each with their characteristics. While …

Apr 21, 2025 · To master statistical analysis, you should know seven key probability distributions: Uniform, Binomial, Normal, Lognormal, Student’s T, Chi-Square, and F-distribution.

Jun 9, 2022 · Probability distributions are often depicted using graphs or probability tables. Common probability distributions include the binomial distribution, Poisson distribution, and …

All distributions are shown in their parameterized, not standard forms. In some cases, the definition of a distribution may vary slightly from a definition given in the literature.

This is a list of probability distributions commonly used in statistics. For each distribution you will find explanations, examples and a problem set with solved exercises.

This Compendium describes distributions appropriate for modeling "random" observations. Although similar summaries may be found in textbooks, this reference exhibits some unusual …