Phi: The product of ratioBeta and Kummer functions

In MobilePhoneESSnetBigData/pestim: Population Estimations Using Mobile Phone Data

Description

Compute the product of ratioBeta and kummer functions with a specific set of arguments

Usage

Phi(alpha, beta, lambda, n, relTol = 1e-06,
  nThreads = RcppParallel::defaultNumThreads())

Arguments

alpha	non-negative numeric vectors
beta	non-negative numeric vectors
lambda	numeric vector
n	non-negative integer vector
relTol	relative tolerance in the computation of the kummer function. Default value is 1e-6
nThreads	number (default the number of all cores, including logical cores) to use for computation

Value

Phi returns \frac{B(alpha + m, beta + n)}{B(alpha, beta)}\cdot {}_{1}F_{1}(lambda; alpha; beta), where {}_{1}F_{1} stands for the confluent hypergeometric function

The lengths of the input vectors must be all equal except when their length is 1, which are recycled. Otherwise NAs are produced.

See Also

ratioBeta, kummer for related functions.

Examples

Phi(1, 1, 0.5, 10)
Phi(1:10, 10:1, seq(0, 1, length.out = 10), 3)
# Error:
## Not run: 
Phi(1:4, 4:1, c(2, 3), c(4, 3, 1))

## End(Not run)

MobilePhoneESSnetBigData/pestim documentation built on May 31, 2019, 2:44 p.m.