stable non-Gaussian distributions
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Stable and tempered stable distributions with volatility clustering - financial applications — Classical financial models which assume homoskedasticity and normality cannot explain stylized phenomena such as skewness, heavy tails, and volatility clustering of the empirical asset returns in finance. In 1963, Benoit Mandelbrot first used the … Wikipedia
Gaussian beam — In optics, a Gaussian beam is a beam of electromagnetic radiation whose transverse electric field and intensity (irradiance) distributions are well approximated by Gaussian functions. Many lasers emit beams that approximate a Gaussian profile, in … Wikipedia
Multivariate stable distribution — multivariate stable Probability density function Heatmap showing a Multivariate (bivariate) stable distribution with α = 1.1 parameters: exponent shift/location vector … Wikipedia
Tweedie distributions — In probability and statistics, the Tweedie distributions are a family of probability distributions which include continuous distributions such as the normal and gamma, the purely discrete scaled Poisson distribution, and the class of mixed… … Wikipedia
Geometric stable distribution — Geometric Stable parameters: α ∈ (0,2] stability parameter β ∈ [−1,1] skewness parameter (note that skewness is undefined) λ ∈ (0, ∞) scale parameter μ ∈ (−∞, ∞) location parameter support: x ∈ R, or x ∈ [μ, +∞) if α < 1 and β = 1, or x ∈… … Wikipedia
Яблонский, Анатолий Иванович — (20.04.1936 14.02.1986) спец. по филос. и методол. науки; канд. техн. наук, ст. н. с. Род. в Уссурийске. Окончил Моск. физ. техн. ин т. В 1959 1970 работал в разл. отраслевых НИИ, занимаясь анализом функционирования больших техн. систем. В 1971… … Большая биографическая энциклопедия
Financial modeling — is the task of building an abstract representation (a model) of a financial decision making situation.[1] This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or a portfolio, of a… … Wikipedia
Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… … Wikipedia
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … Wikipedia
Modern portfolio theory — Portfolio analysis redirects here. For theorems about the mean variance efficient frontier, see Mutual fund separation theorem. For non mean variance portfolio analysis, see Marginal conditional stochastic dominance. Modern portfolio theory (MPT) … Wikipedia
Control chart — One of the Seven Basic Tools of Quality First described by Walter A. Shewhart … Wikipedia
