probability theory, heavy-tailed distributions are probability distributions whose tails are not exponentially bounded: that is, they have heavier tails than the...

exponential distribution.[when defined as?] In common usage, the terms fat-tailed and heavy-tailed are sometimes synonymous; fat-tailed is sometimes...

long-tailed distribution has a narrow technical meaning, and is a subtype of heavy-tailed distribution. Intuitively, a distribution is (right) long-tailed...

A long-tailed or heavy-tailed distribution is one that assigns relatively high probabilities to regions far from the mean or median. A more formal mathematical...

any distribution, but they can indicate novel behaviour or structures in the data-set, measurement error, or that the population has a heavy-tailed distribution...

A subexponential distribution may be: A kind of heavy-tailed distribution. A distribution with sufficiently light tails so that a certain Orlicz norm of...

a more heavy-tailed distribution should be assumed and the appropriate robust statistical inference methods applied. The Gaussian distribution belongs...

Head/tail breaks is a clustering algorithm for data with a heavy-tailed distribution such as power laws and lognormal distributions. The heavy-tailed distribution...

mixed distributions and heavy-tailed distribution (like the Cauchy distribution), at the cost of lower efficiency for some other less heavily tailed distributions...

walk in which the step-lengths have a stable distribution, a probability distribution that is heavy-tailed. When defined as a walk in a space of dimension...

) from an unknown heavy-tailed distribution F {\displaystyle F} such that its tail distribution is regularly varying with the tail-index 1 / ξ {\displaystyle...

examples can be found in the articles Heavy-tailed distribution, Long-tailed distribution, fat-tailed distribution Erhan, Çınlar (2011). Probability and...

added. This threat can be minimal when process times follow a heavy-tailed distribution. A similar algorithm which avoids starvation at the cost of higher...

descriptions as a fallback Zipf's law – Probability distribution Heavy-tailed distribution – Probability distribution Norton, Matthew; Khokhlov, Valentyn; Uryasev...

\qquad X_{1},X_{2}{\hbox{ independent.}}} See Heavy-tailed distribution § Subexponential distributions. Contrariwise, a random variable may also be called...

distribution. Some authors regard it as a "super-heavy tailed" distribution, because it has a heavier tail than a Pareto distribution-type heavy tail...

applications, such as those involving data suspected to follow a heavy-tailed distribution, this is an important consideration. However, the existence of...

analyzed using a lognormal distribution. Heavy-tailed distribution Log-distance path loss model Modified lognormal power-law distribution Fading The Cox Method...

right tail is longer; the mass of the distribution is concentrated on the left of the figure. The distribution is said to be right-skewed, right-tailed, or...

are finite. Stable distributions are infinitely divisible. Stable distributions are leptokurtotic and heavy-tailed distributions, with the exception...

followed a Cauchy distribution (a heavy-tailed distribution) and the median performed best when the underlying data followed a χ2 distribution with four degrees...

Cauchy distribution (a heavy-tailed distribution) and the median performed best when the underlying data followed a chi-squared distribution with four...

sensitive to outliers arising from measurement anomalies or an unduly heavy-tailed distribution. Variance is invariant with respect to changes in a location parameter...

estimation. Bandwidth selection for kernel density estimation of heavy-tailed distributions is relatively difficult. If Gaussian basis functions are used...

science. Fat-tailed distribution Heavy-tailed distributions Hyperbolic growth Lévy flight Long tail Low-degree saturation Pareto distribution Power-law fluid...

errors or strong dependence in the data, or if the data follows a heavy-tailed distribution, or because the data is strongly dependent or biased. Sample sizes...

A given probability distribution, including a heavy-tailed distribution, can be approximated by a hyperexponential distribution by fitting recursively...

regression models is to replace the normal distribution with a heavy-tailed distribution. A t-distribution with 4–6 degrees of freedom has been reported...

The Lomax distribution, conditionally also called the Pareto Type II distribution, is a heavy-tail probability distribution used in business, economics...

mixture distributions, and heavy-tailed distributions than the corresponding untrimmed estimator, at the cost of lower efficiency for other distributions, such...