Description Usage Arguments Details Value Author(s) References See Also Examples
The function ZIPIG
defines the zero inflated Poisson inverse Gaussian distribution,
a three parameter distribution, for a
gamlss.family
object to be used in GAMLSS fitting using the function gamlss()
.
The functions dZIPIG
, pZIPIG
,
qZIPIG
and rZIPIG
define the
density, distribution function, quantile function
and random generation for the zero inflated negative binomial, ZIPIG()
, distribution.
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mu.link |
Defines the |
sigma.link |
Defines the |
nu.link |
Defines the |
x |
vector of (non-negative integer) quantiles |
mu |
vector of positive means |
sigma |
vector of positive despersion parameter |
nu |
vector of zero probability parameter |
p |
vector of probabilities |
q |
vector of quantiles |
n |
number of random values to return |
log, log.p |
logical; if TRUE, probabilities p are given as log(p) |
lower.tail |
logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x] |
For the definition of the distribution see Rigby and Stasinopoulos (2010) below.
The function ZIPIG
return a gamlss.family
object which can be used to fit a
zero inflated Poisson inverse Gaussian in the gamlss()
function
Mikis Stasinopoulos d.stasinopoulos@londonmet.ac.uk, Bob Rigby r.rigby@londonmet.ac.uk
Rigby, R. A. and Stasinopoulos D. M. (2005). Generalized additive models for location, scale and shape,(with discussion), Appl. Statist., 54, part 3, pp 507-554.
Stasinopoulos D. M., Rigby R.A. and Akantziliotou C. (2006) Instructions on how to use the GAMLSS package in R. Accompanying documentation in the current GAMLSS help files, (see also http://www.gamlss.com/).
Stasinopoulos D. M. Rigby R.A. (2007) Generalized additive models for location scale and shape (GAMLSS) in R. Journal of Statistical Software, Vol. 23, Issue 7, Dec 2007, http://www.jstatsoft.org/v23/i07.
Rigby, R. A. and Stasinopoulos D. M. (2010) The gamlss.family distributions, (distributed with this package or see http://www.gamlss.com/)
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