# Category: Uncategorized

• ## Weibull Distribution

< List of probability distributions Weibull Distribution Weibull-Gnedenko Weibull-Rician Fréchet distribution (inverse Weibull) See also: Discrete Weibull distribution Weibull Distribution The Weibull distribution is a continuous probability distribution for assessing product reliability, analyzing life data and modeling failure times. It is an example of an extreme value distribution (EVD) and is sometimes called EVD Type III. […]

• ## Uniform Distribution.

< List of probability distributions A uniform distribution U(a, b), also called a rectangular distribution, is defined by two parameters: minimum, a. maximum, b. The area under the curve of the uniform distribution is always equal to 1. In the above graph, the area is:A = l x h = 3 * 0.333… = 1. Continuous and Discrete Uniform […]

• ## Benford Distribution

< Probability distribution list The Benford distribution, denoted X ∼ Benford, describes the distribution of random variables that follows Benford’s law.   Benford’s law (also called the first digit law) states that the first (non-zero) digit (i.e., the digits 1 to 9) in a wide range of number collections doesn’t follow a uniform distribution as […]

• ## Gompertz-Rayleigh distribution

< List of probability distributions The Gompertz-Rayleigh distribution is an extension of the Rayleigh distribution that allows for better modeling of highly-skewed datasets compared to compound distributions . A similarly named but unrelated distribution is a generalized Gompertz-Rayleigh distribution, proposed by Bradley  as a potential survival distribution for modeling risk. Many other generalized forms […]

• ## Unimodal Distribution

< List of probability distributions A unimodal distribution is any distribution with a single peak, cluster, or high point (i.e., global maximum). It comes from the Latin word uni– (“one”) and Middle French modal (“measure”). More specifically, the probability density function (PDF), histogram, or other graph of the distribution has one distinct peak. For example, the […]

• ## Delta Distribution

< List of probability distributions What is a delta distribution? The term delta distribution may refer to either the zero-modified lognormal distribution developed by Aitchison and Brown or the Dirac delta function. Zero-modified lognormal distribution The zero-modified lognormal (delta) distribution is a mixture distribution with a positive probability of a zero observation; positive observations (i.e., […]

• ## Bell-shaped distribution

< List of probability distributions A bell-shaped distribution is – perhaps not surprisingly – any distribution that looks like the shape of a bell when plotted as a graph. These distributions have one peak in the center (i.e., they are unimodal distributions) and are symmetric: if you draw a vertical line down the center of the […]

• ## Zero-modified normal distribution

< List of probability distributions A zero-modified normal distribution is a normal distribution modified to put extra probability mass at 0. In other words, it’s a kind of mixture distribution where part of the population comes from a normal distribution but the rest of the population is all zeros . The probability density function of […]

• ## Bates Distribution

< List of Probability Distributions The Bates Distribution (or rectangular mean distribution) resembles a normal distribution although it can also resemble several other distributions depending on how many items are in the sample. Triangular distribution: n = 2. Uniform distribution: n = 1. Unimodal (normal) distribution: n > 2. More formally, it is the probability distribution of the […]

• ## Modified Normal Distribution

< Probability Distributions List The term modified normal distribution (or equinormal distribution) may refer to any number of distributions that are similar in appearance to a normal distribution (in other words, it’s simply a normal distribution modified in some way). For example, the t distribution is one example of a modified normal distribution . The […]