KernelCU distribution

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Format: VoseKernelCU({data}, U)

KernelCU equations

The KernelCU distribution is a kernel estimated distribution based on a set of data, assuming the variable is continuous (C) and unbounded (U).

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Uses

The KernelCU function can be used to estimate the population distribution from a set of random observations {data} when it is known that the variable is continuous and unbounded. ModelRisk also offers the Ogive distribution for this purpose, but with that distribution one must specify a minimum and maximum.

Comments

The KernelCU is constructed by wrapping a Normal distribution around each value in {data} and then taking the average of all the distributions’ densities. The mean of each Normal distribution is the observed value in question, the standard deviation is given by:

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where n is the number of observations and  is the standard deviation of the data.

VoseFunctions for this distribution

VoseKernelCU generates values from this distribution or calculates a percentile. Professional and Industrial editions only.

VoseKernelCUObject constructs a distribution object for this distribution. Professional and Industrial editions only.

VoseKernelCUProb returns the probability density or cumulative distribution function for this distribution. Professional and Industrial editions only.

VoseKernelCUProb10 returns the log10 of the probability density or cumulative distribution function. Professional and Industrial editions only.