Normal-inverse Gaussian distribution (original) (raw)

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dbo:abstract The normal-inverse Gaussian distribution (NIG) is a continuous probability distribution that is defined as the normal variance-mean mixture where the mixing density is the inverse Gaussian distribution. The NIG distribution was noted by Blaesild in 1977 as a subclass of the generalised hyperbolic distribution discovered by Ole Barndorff-Nielsen. In the next year Barndorff-Nielsen published the NIG in another paper. It was introduced in the mathematical finance literature in 1997. The parameters of the normal-inverse Gaussian distribution are often used to construct a heaviness and skewness plot called the NIG-triangle. (en)
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dbp:name Normal-inverse Gaussian (en)
dbp:parameters dbr:Location_parameter (en) asymmetry parameter (en) scale parameter (en) tail heaviness (en)
dbp:pdf denotes a modified Bessel function of the second kind (en)
dbp:type density (en)
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rdfs:comment The normal-inverse Gaussian distribution (NIG) is a continuous probability distribution that is defined as the normal variance-mean mixture where the mixing density is the inverse Gaussian distribution. The NIG distribution was noted by Blaesild in 1977 as a subclass of the generalised hyperbolic distribution discovered by Ole Barndorff-Nielsen. In the next year Barndorff-Nielsen published the NIG in another paper. It was introduced in the mathematical finance literature in 1997. (en)
rdfs:label Normal-inverse Gaussian distribution (en)
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