dneymanA {jointNmix}

The Neyman-A probability function

Description

Computes the probability function of the Neyman-A distribution

Usage

dneymanA(x, lambda1, lambda2, K, log = FALSE)

Arguments

x

vector of values

lambda1, lambda2

parameters of the distribution

K

truncation value for the infinite summation

log

logical. If TRUE, the logarithm of the probabilities is returned

Details

The Neyman-A distribution has probability function

\frac{e^{-\lambda_1}\lambda_2^{x}}{x!}\sum_{k=0}^\infty\frac{(\lambda_1e^{-\lambda_2})^kk^x}{k!}

and is an overdispersion model. The summation is truncated to K.

Author(s)

Rafael A. Moral <[e-mail]>, Clarice G. B. Demétrio and John Hinde

Examples

x <- 0:10
dneymanA(x, lambda1 = 2, lambda2 = 1.5, K = 50)