• ## Argus distribution

< List of probability distributions The Argus distribution was introduced by the ARGUS collaboration (A Russian-German-United States-Swedish Collaboration), which investigated F mesons at Germany’s electron-positron collider ring DORIS II in the late 80s and early 90s [1]. The distribution is especially suited to modeling cases in physics of combinatorial backgrounds with sharp-edged kinematical bounds [2]. […]

• ## Lindley distribution

< List of probability distributions A Lindley distribution is one way to describe the lifetime of a process or device. It can be used in a wide variety of fields, including biology, engineering and medicine. It’s especially useful for modeling in mortality studies [1]. The shape parameter (θ) is a positive real number and can […]

• ## Hotelling’s T-squared distribution

< List of probability distributions Hotelling’s T-Squared [1] is a multivariate statistical tool proportional to the F distribution. It is used to compare two or more samples and identify any differences between them. The tool uses Hotelling’s T-squared distribution and is the multivariate counterpart of the T-test. In this blog post, we will discuss what […]

• ## Halphen distribution

< List of probability distributions The Halphen distribution is another name for the generalized inverse Gaussian distribution. This right-skewed, heavy-tailed distribution is defined only for positive real variables and tends to zero for small values of x. The invention of the Halphen distribution is attributed to French statistician and hydrologist Étienne Halphen [1] by some […]

• ## Kummer distribution

< List of probability distributions A random variable X has a Kummer distribution if its probability density function (PDF) has the form [1] where: When γ = 0, the distribution becomes the gamma distribution with shape parameter α and scale parameter β. The Kummer distribution was derived by Armero and Bayarri [2,3], who derived it […]

• ## Cumulative distribution function

< Statistics and probability definitions The cumulative distribution function (CDF) can be used to calculate the probability of a given event occurring, and it is often used to analyze the behavior of random variables. In this blog post, we will take a closer look at what a cumulative distribution function is and how it works. […]

• ## Amoroso distribution

< List of probability distributions The Amoroso distribution (also called the Stacy-Mihram distribution) is an alternate parameterization or “Weibullization” of the generalized gamma distribution. It is a good fit for skewed and heavy-tailed data, but its parameters can be challenging to estimate because different sets of model parameters can give similar fits of the Amoroso […]

• ## Grand Unified Distribution

< List of probability distributions The Grand Unified distribution appears in a visualization of probability relationships proposed by Gavin Crooks in A Field Guide to Continuous Probability Distributions at the Berkeley Institute for Theoretical Science [1]. According to Crooks, most common, continuous, univariate, and unimodal distributions (about a hundred or so) are members of a […]

• ## Factorial distribution

< List of probability distributions The factorial distribution is used in probability and statistics to illustrate how events interact. It can be used to determine the likelihood of multiple events occurring at once or consecutively, and it can be written in many different ways. In this post, we’ll explore what a factorial distribution is, how […]

• ## Flat normal distribution

< List of probability distributions A flat normal distribution (or flattened Gaussian distribution) is a normal distribution with a large standard deviation. The standard deviation is a measure of spread; smaller values compress the distribution into a smaller space while a larger standard deviation flattens and widens the normal. The flat normal distribution has a […]