P-Distribution

< List of probability distributions The Waring Distribution is a generalization of the Simon-Yule distribution, allowing for more flexibility and greater accuracy when modeling data. It is sometimes linked to the Pareto distribution because the tails show Pareto-like behavior. In this article, we’ll discuss what the Waring Distribution is and how it can be used […]

< List of probability distributions Have you ever seen a histogram with a spike at zero? This phenomenon — a cluster of data points at zero — is called a “point mass” and can often be modeled by fitting it to a Tweedie distribution. The Tweedie distribution [1] is a special case of an exponential […]

< List of probability distributions The Voigt distribution, named after German physicist Woldemar Voigt, it is a specialized probability function that has a variety of applications in science, technology, engineering and mathematics. In this blog post, we’ll explore what the Voigt distribution is and how it is used in various fields today. What is the […]

< List of probability distributions The Pareto Distribution is a useful tool for analyzing data, but understanding it can be a bit of a challenge. Created by 19th-century Italian economist Vilfredo Pareto, the Pareto distribution is defined by a shape parameter (α) and a location parameter (X). It has two main applications: modeling the distribution […]

< List of probability distributions The Nakagami distribution, named after Japanese engineer Minoru Nakagami [1], is a relatively recent addition to the world of probability distributions, was introduced in 1960. This versatile distribution is especially useful for modeling small scale fading in settings with dense signal scatters, and is heavily used to model right-skewed, positively […]

< List of probability distributions The Holtsmark distribution has applications in astrophysics for the distribution of gravitational bodies and and plasma physics, where it can model the electric-microfield distribution involved in spectral line shapes [1]. It is a member of the Levy family and named after Norwegian physicist Johan Peter Holtsmark, who proposed the distribution […]

< List of probability distributions The Dirichlet distribution can be used to model random probability mass functions (PMFs) for finite sets. It is an essential tool for those interested in data science and machine learning, but it can also be useful for many other applications such as as a prior distribution in Bayesian statistics. In […]

< List of probability distributions The Benini distribution (also called the log-Rayleigh distribution), is a continuous probability distribution similar to the lognormal distribution. It is often used to model failure rates in actuarial science and income distributions in economics. The distribution is named after Italian statistician and demographer Rodolfo Benini [1], who proposed the distribution […]

< List of probability distributions The Gamma Distribution is a two-parameter family of continuous probability distributions that are perfect for modeling data with natural minimums of zero. Its widespread use is largely due to its relationship to the normal and exponential distributions. In this blog post, we will define the distribution, explain why you would […]

< List of probability distributions The Balding-Nichols distribution [1] is a reparameterized Beta distribution: Where The probability distribution function is The distribution has mean p and variance Fp(1 – p) [3]. The Balding-Nichols is a Dirichlet distribution specific to population genetics [2]. Uses of the Balding-Nichols Distribution It is named after David Balding and Richard Nichols, who proposed the Balding-Nichols […]