Create a Parametric Poisson CGF Object

Poisson with rate(s) lambda(theta). If iidReps = "any" (default), length(tvec) must be a multiple of length(lambda(theta)). Supports i.i.d. and non-identical contexts with optional length enforcement via iidReps. If iidReps = m, then length(tvec) must be m * length(lambda(theta)).

Usage

PoissonModelCGF(lambda, iidReps = "any", ...)

Arguments

lambda

A function or adaptor mapping theta -> scalar or vector of rates.

iidReps

Either "any" or a positive integer. Default "any".

...

Passed through to the CGF creation (e.g., to override operators).

Value

A CGF object.

Examples

# ex 1: i.i.d. scenario for univariate Poisson(rate = 2)
ex_iid <- PoissonModelCGF(lambda = function(x) x[1])
# OR ex_iid <- PoissonModelCGF(lambda = function(x) x[1], iidReps = 3)
ex_iid$K1(rep(0,3), 2)
#> [1] 2 2 2

# ex 2: non-identical scenario with replication: lambda returns c(2,5), iidReps=3
ex_repeat <- PoissonModelCGF(lambda = adaptor(indices = 1:2), iidReps = 3)
# OR ex_repeat <- PoissonModelCGF(lambda = function(x) c(2,5) )
ex_repeat$K1(rep(0,6), c(2,5))
#> [1] 2 5 2 5 2 5