pcoga2dim_diff_shape {coga} R Documentation

## Recurrence Identity of Shape Parameter for pcoga2dim

### Description

The difference of distribution functions of convolution of two gamma distributions between consecutive neighbors of shape parameter. This function evaluate the value of 'pcoga2dim(x, shape1, shape2, rate1, rate2) - pcoga2dim(x, shape1 + 1, shape2, rate1, rate2)' with higher efficiency (this function is much more faster than call pcoga2dim two-times).

### Usage

pcoga2dim_diff_shape(x, shape1, shape2, rate1, rate2)


### Arguments

 x Quantiles. shape1, shape2 Shape parameters of the first and second gamma distributions, both shape parameters should be larger than or equal to 0. rate1, rate2 Rate parameters of the first and second gamma distributions, both rate parameters should be larger than 0.

Chaoran Hu

### Examples

## these pairs give us the same results
pcoga2dim_diff_shape(3,2,4,5,4)
pcoga2dim(3,2,4,5,4) - pcoga2dim(3,3,4,5,4)

pcoga2dim_diff_shape(3,0,4,3,5)
pgamma(3,4,5) - pcoga2dim(3,1,4,3,5)

pcoga2dim_diff_shape(3,6,0,5,4)
pgamma(3,6,5) - pgamma(3,7,5)

pcoga2dim_diff_shape(3,0,0,4,5)
1 - pgamma(3,1,4)



[Package coga version 1.1.1 Index]