zip.gc | R Documentation |
marginal.gc
The zero-inflated Poisson marginal parameterized in terms of its mean and overdispersion.
By default, this function is used for likelihood inference and spatial prediction in function
mlegc
and predgc
of the package gcKrig
.
When all marginal parameters are given, the function is used for simulation and computing correlation in a
trans-Gaussian random field in function simgc
and corrTG
.
zip.gc(link = "log", mu = NULL, od = NULL)
link |
the model link function. |
mu |
a non-negative scalar of the mean parameter. |
od |
a non-negative scalar of the overdispersion parameter. |
The zero-inflated Poisson distribution with parameters mu = a
and od = b
has density
b/(1+b) + exp(-(a+ab))/(1+b)
when y = 0, and
exp(-(a+ab))*(a+ab)^y/((1+b)y!)
when y = 1, 2, …
Under this parameterization, var(Y)= mu + od*mu^2, where mu is the mean parameter and od is the overdispersion parameter. For more details see Han and De Oliveira (2016).
An object of class marginal.gc
representing the marginal component.
Zifei Han hanzifei1@gmail.com
Han, Z. and De Oliveira, V. (2016) On the correlation structure of Gaussian copula models for geostatistical count data. Australian and New Zealand Journal of Statistics, 58:47-69.
marginal.gc
, beta.gc
, binomial.gc
,
gm.gc
, gaussian.gc
,
negbin.gc
, poisson.gc
,
weibull.gc
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