phh {dhh} R Documentation

## Cumulative Distribution Function (CDF) Of The Heavy-Headed Distribution

### Description

This function gives the values of the CDF of the heavy-headed distribution.

### Usage

phh(x, a = 0, b = 1, alpha = 0.1)


### Arguments

 x x is a vector of real values, at which the values of the CDF will be calculated. a,b The interval (a,b) is the support of the distribution. The default values for a and b are 0 and 1, respectively. alpha It is a positive parameter of the distribution. Its default value is set to be 0.1. When alpha = 1, the distribution is uniform. When alpha > 1, the density at a is zero.

### Details

See the references.

### Value

It returns the values of the CDF at x.

Runlong Tang

### References

Runlong Tang (2018) A Note On Finite Moments, Rediscovery Of The Pareto Distribution and Distributions With Heavy Tails and Heads (v1) https://sites.google.com/site/tangrunlong/notes-on-finance

dhh qhh rhh

### Examples

phh(0)

phh(1)

phh(0.5)

phh(0.5, 0, 1, 0.1)

phh(c(0.5, 0.7))

curve(phh, from = -1, to = 2)

curve(phh(x, a=0, b=1, alpha=0.1), -1, 2)

curve(phh(x, a=0, b=10, alpha=0.1), -1, 11)

curve(phh(x, a=0, b=100, alpha=0.1), -1, 11)


[Package dhh version 0.0.1 Index]