pdf.plot: Plots Probability Distribution Functions for GAMLSS Family

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

Description

A function to plot probability distribution functions (pdf) belonging to the gamlss family of distributions. This function allows either plotting of the fitted distributions for up to eight observations or plotting specified distributions belonging in the gamlss family

Usage

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pdf.plot(obj = NULL, obs = c(1), family = NO(), mu = NULL, 
         sigma = NULL, nu = NULL, tau = NULL, from = 0, 
         to = 10, min = NULL, max = NULL, no.points = 201, 
         no.title = FALSE, col = gray(0.4), y.axis.lim = 1.1, 
         frame.plot = TRUE, ...)         

Arguments

obj

An gamlss object e.g. obj=model1 where model1 is a fitted gamlss object

obs

A number or vector of up to length eight indicating the case numbers of the observations for which fitted distributions are to be displayed, e.g. obs=c(23,58) will display the fitted distribution for the 23th and 58th observations

family

This must be a gamlss family i.e. family=NO

mu

The value(s) of the location parameter mu for which the distribution has to be evaluated e.g mu=c(3,7)

sigma

The value(s) the scale parameter sigma for which the distribution has to be evaluated e.g sigma=c(3,7)

nu

The value(s) the parameter nu for which the distribution has to be evaluated e.g. nu=3

tau

The value(s) the parameter tau for which the distribution has be evaluated e.g. tau=5

from

Minimum value of the random variable y (identical to min)

to

Maximum value of the random variable y(identical to max)

min

Minimum value of the random variable y e.g. min=0

max

Maximum value of y e.g. max=10

no.points

the number fo point in which the function will be evaluated

no.title

Whether you need title in the plot, default is no.title=FALSE

col

the colot of the lines

y.axis.lim

the limits for the y-axis

frame.plot

whether to frame the idividual plots

...

for extra arguments, Note tha usufull argument can be col.axis, col.lab, cex.axis, cex.lab etc.

Details

This function can be used to plot distributions of the GAMLSS family. If the first argument obj is specified and it is a GAMLSS fitted object, then the fitted distribution of this model at specified observation values (given by the second argument obs) is plotted for a specified y-variable range (arguments min, max, and step).

If the first argument is not given then the family argument has to be specified and the pdf is plotted at specified values of the parameters mu, sigma, nu, tau. Again the range of the y-variable has to be given.

Value

plot(s) of the required pdf(s) are returned

Warning

The range of some distributions depends on the fitted parameters

Note

The range of the y values given by min, max and step are very important in the plot

Author(s)

Mikis Stasinopoulos d.stasinopoulos@londonmet.ac.uk and Calliope Akantziliotou

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.

Rigby, R. A., Stasinopoulos, D. M., Heller, G. Z., and De Bastiani, F. (2019) Distributions for modeling location, scale, and shape: Using GAMLSS in R, Chapman and Hall/CRC. An older version can be found in https://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, https://www.jstatsoft.org/v23/i07/.

Stasinopoulos D. M., Rigby R.A., Heller G., Voudouris V., and De Bastiani F., (2017) Flexible Regression and Smoothing: Using GAMLSS in R, Chapman and Hall/CRC.

(see also https://www.gamlss.com/).

See Also

gamlss

Examples

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pdf.plot(family=BCT, min=1, max=20, mu=10, sigma=0.15, nu=-1, tau=c(4,10,20,40) )
## Not run: 
# now using an gamlss object
data(abdom)
h<-gamlss(y~pb(x), sigma.formula=~pb(x), family=BCT, data=abdom) # fits 
pdf.plot(obj=h , obs=c(23,67), min=50, max=150)

## End(Not run)

gamlss documentation built on March 31, 2021, 5:10 p.m.