leptokurtic distribution

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• Leptokurtic — A description of the kurtosis in a distribution in which the statistical value is positive. Leptokurtic distributions have higher peaks around the mean compared to normal distributions, which leads to thick tails on both sides. These peaks result …   Investment dictionary

• leptokurtic — | ̷ ̷ ̷ ̷|kərd.ik adjective Etymology: lept + Greek kyrtos bulging, convex, curved + English ic; akin to Latin curvus bent, curved more at crown 1. of a frequency distribution curve : being more peaked than the corresponding normal distribution… …   Useful english dictionary

• leptokurtic — /lep teuh kerr tik/, adj. Statistics. 1. (of a frequency distribution) being more concentrated about the mean than the corresponding normal distribution. 2. (of a frequency distribution curve) having a high, narrow concentration about the mode.… …   Universalium

• leptokurtic — lep·to·kur·tic (lep″to kurґtik) [lepto + Gr. kurtos convex] pertaining to a probability distribution more heavily concentrated around the mean, i.e., having a sharper, narrower peak, than the normal distribution with the same variance. Cf.… …   Medical dictionary

• leptokurtic — adjective Said of a distribution if it has positive kurtosis. Syn: leptokurtotic, fat tailed Ant: platykurtic See Also: kurtosis …   Wiktionary

• Phase-type distribution — Probability distribution name =Phase type type =density pdf cdf parameters =S,; m imes m subgenerator matrixoldsymbol{alpha}, probability row vector support =x in [0; infty)! pdf =oldsymbol{alpha}e^{xS}oldsymbol{S}^{0} See article for details… …   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

• Heavy-tailed distribution — In probability theory, heavy tailed distributions are probability distributions whose tails are not exponentially bounded:cite book |author=Asmussen, Søren |title=Applied probability and queues |publisher=Springer |location=Berlin |year=2003… …   Wikipedia

• Frequency distribution — In statistics, a frequency distribution is an arrangement of the values that one or more variables take in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval, and… …   Wikipedia

• Hyperbolic secant distribution — Probability distribution name =hyperbolic secant type =density pdf cdf parameters = none support =x in ( infty; +infty)! pdf =frac12 ; operatorname{sech}!left(frac{pi}{2},x ight)! cdf =frac{2}{pi} arctan!left [exp!left(frac{pi}{2},x ight) ight] ! …   Wikipedia

• Kurtosis — In probability theory and statistics, kurtosis (from the Greek word κυρτός, kyrtos or kurtos, meaning bulging) is any measure of the peakedness of the probability distribution of a real valued random variable.[1] In a similar way to the concept… …   Wikipedia