gen.trun: Generates a Truncate Distribution from a gamlss.family

Description Usage Arguments Value Author(s) References See Also Examples

View source: R/gen.trun.R

Description

The gen.trun() function allows the user to generate the d, the p, the q, the r and the gamlss fitting functions of a truncated distribution given that the input family is a current GAMLSS family distribution.

For continuous distributions left truncation at 3 means that the random variable can take the value 3. For discrete distributions left truncation at 3 means that the random variable can take values from 4 onwards. This is the same for right truncation. Truncation at 15 for a discrete variable means that 15 and greater values are not allowed but for continuous variable it mean values greater that 15 are not allowed (so 15 is a possible value).

Usage

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gen.trun(par = c(0), family = "NO", name = "tr", type = c("left", "right", "both"), ...)

Arguments

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.

name

the characters you want to add to the name of new truncated distribution, by default adds tr

type

whether left, right or in both sides truncation is required

...

for extra arguments

Value

Returns the d, the p, the q and the r functions of a truncated distribution

Author(s)

Mikis Stasinopoulos [email protected] and Bob Rigby [email protected]

References

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/).

See Also

trun.d, trun.p, trun.q, trun.r

Examples

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gen.trun(par=c(0,100),family="TF", name="0to100", type="both")
plot(function(x) dTF0to100(x, mu=80 ,sigma=20, nu=5), 0, 100)
plot(function(x) pTF0to100(x, mu=80 ,sigma=20, nu=5), 0, 100)
plot(function(x) qTF0to100(x, mu=80 ,sigma=20, nu=5), 0.01, .999)
hist(s1<-rTF0to100(1000, mu=80 ,sigma=20, nu=5))
m1<-gamlss(s1~1, family=TF0to100)

gamlss.tr documentation built on May 31, 2017, 1:43 a.m.