Provides probability, distribution, quantile and random-generation
functions for the complex three-parameter Pearson distribution and its
zero-inflated extension. Maximum likelihood fitting uses analytic profiling
of the mixing probability, multiple starting points and numerical boundary
diagnostics. The parent family is described in the 2003 study
Distribution functions and likelihood fitting for the complex triparametric Pearson parent and its zero-inflated mixture.
library(zmctp)
dctp(0:5, a=1, b=0.5, gama=6)
x <- rep(0:4, c(40,12,6,2,1))
fit <- zictp.fit(x)
fit$estimates
fit$diagnostics
plot(fit)
Version 0.1.4 replaces support-dependent normalisation and capped quantiles,
profiles the mixing probability including zero, and retains transformed
optimiser coordinates. Public names, gama, fitted classes and S3 methods
are retained. See NEWS and vignette("introduction", package="zmctp") for
behaviour changes, boundary diagnostics and runtime limits.
The implemented mixture adds zeros for positive omega. It does not implement zero deflation. Bootstrap inference remains in the research supplement. Published application datasets are not included in this release candidate.
Maintainer: Rasheedat Oladoja [email protected]. Developers: Rasheedat Oladoja and Kabir Opeyemi Olorede. License: GPL-3. Original source notices and authorship are retained.