covarRPBLRPM {HyetosMinute}R Documentation

Covariance of rainfall for the random parameter Bartlett-Lewis rectangular pulse model

Description

The function covarRPBLRPM is the modelled covariance of rainfall according to the equation of random parameter Bartlett-Lewis rectangular pulse model. The model supports Exponential, Gamma and Weibull distribution for cell intensity.

Usage

covarRPBLRPM(a,l,v,k,f,mx,sxmx,h,weibTF,lag)  

Arguments

l

A positive number that specifies the rate of Poisson process. The time units are days (d).

f

Constant φ=γ/η.

k

Constant κ=β/η.

a

A positive number that specifies the shape parameter α of gamma distribution.

v

A positive number that specifies the scale parameter ν of gamma distribution.

mx

A positive number that specifies the mean of cell intensities.

sxmx

A positive number that specifies the ratio of standard deviation to mean cell intensity.

h

Time scale (e.g. 1/60, 1/30, 1/12, 1, 6, 12, 24 hour etc.).

weibTF

Logical value that specifies if the intensities follow the Weibull distribution.

lag

The Lag

Value

covar

Covariance of rainfall depth.

Author(s)

Kossieris Panagiotis pankoss@hotmail.com

References

Rodriguez-Iturbe I., D. R. Cox, and V. Isham, A point process model for rainfall: Further developments, Proc. R. Soc. Lond., A 417, 283-298, 1988.


[Package HyetosMinute version 2.1 Index]