| trun.q {gamlss.tr} | R Documentation |
Creates a function to produce the inverse of a truncated cumulative density function generated from a current GAMLSS family distribution
trun.q(par, family = "NO", type = c("left", "right", "both"), ...)
par |
a vector with one (for left or right truncation) or two elements for both |
family |
a gamlss.family object, which is used to define the distribution and the link functions of the various parameters.
The distribution families supported by gamlss() can be found in gamlss.family.
Functions such as BI() (binomial) produce a family object. |
type |
whether left, right or in both sides truncation is required, (left is the default) |
... |
for extra arguments |
Returns a q family function
Mikis Stasinopoulos d.stasinopoulos@londonmet.ac.uk and 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. (2003) Instructions on how to use the GAMLSS package in R. Accompanying documentation in the current GAMLSS help files, (see also http://www.gamlss.com/).
trun.d, trun.q, trun.r, gen.trun
# continuous #---------------------------------------------------------------------------------------- # left test1<-trun.q(par=c(0), family="TF", type="left") test1(.6) qTF(pTF(0)+0.6*(1-pTF(0))) #---------------------------------------------------------------------------------------- # right test2 <- trun.q(par=c(10), family="BCT", type="right") test2(.6) qBCT(0.6*pBCT(10)) #---------------------------------------------------------------------------------------- # both test3<-trun.q(par=c(-3,3), family="TF", type="both") test3(.6) qTF(0.6*(pTF(3)-pTF(-3))+pTF(-3)) #---------------------------------------------------------------------------------------- #---------------------------------------------------------------------------------------- # FOR DISCRETE DISTRIBUTIONS # trucated q function # left test4<-trun.q(par=c(0), family="PO", type="left") test4(.6) qPO(pPO(0)+0.6*(1-pPO(0))) #---------------------------------------------------------------------------------------- # right test5 <- trun.q(par=c(10), family="NBI", type="right") test5(.6) qNBI(0.6*pNBI(10)) test5(.6, mu=10, sigma=2) qNBI(0.6*pNBI(10, mu=10, sigma=2), mu=10, sigma=2) #---------------------------------------------------------------------------------------- # both test6<-trun.q(par=c(0,10), family="NBI", type="both") test6(.6) qNBI(0.6*(pNBI(10)-pNBI(0))+pNBI(0)) #----------------------------------------------------------------------------------------