count_1_31: A set of functions to plot gamlss.family distributions

In Stan125/gamlss.dist: Distributions for Generalized Additive Models for Location Scale and Shape

Description

Those functions are used in the distribution book of gamlss, see Rigby et. al 2019.

Usage

binom_1_31(family = BI, mu = c(0.1, 0.5, 0.7), bd = NULL, miny = 0,
           maxy = 20, cex.y.axis = 1.2, cex.all = 1.5)
           
binom_2_33(family = BB, mu = c(0.1, 0.5, 0.8), sigma = c(0.5, 1, 2), 
           bd = NULL, miny = 0, maxy = 10, cex.y.axis = 1.5, 
           cex.all = 1.5)  
           
binom_3_33(family = ZIBB, mu = c(0.1, 0.5, 0.8), sigma = c(0.5, 1, 2),
           nu = c(0.01, 0.3), bd = NULL, miny = 0, maxy = 10, 
           cex.y.axis = 1.5, cex.all = 1.5, cols = c("darkgray", "black"), 
           spacing = 0.3)

contR_2_12(family = "NO", mu = c(0, -1, 1), sigma = c(1, 0.5, 2), 
          cols = c(1, 2, 3), ltype = c(1, 2, 3), maxy = 7, 
          no.points = 201, y.axis.lim = 1.1)
          
contR_3_11(family = "PE", mu = 0, sigma = 1, nu = c(1, 2, 3), 
          cols = c(1, 2, 3), maxy = 7, no.points = 201, 
          ltype = c(1, 2, 3), y.axis.lim = 1.1)          

contR_4_13(family = "SEP3", mu = 0, sigma = 1, nu = c(0.5, 1, 2), 
         tau = c(1, 2, 5), cols = c(1, 2, 3), maxy = 7, 
         no.points = 201, ltype = c(1, 2, 3), y.axis.lim = 1.1)
         
contRplus_2_11(family = GA, mu = 1, sigma = c(0.1, 0.6, 1), 
          cols = c(1, 2, 3), maxy = 4, no.points = 201, 
          y.axis.lim = 1.1, ltype = c(1, 2, 3))         

contRplus_3_13(family = "BCCG", mu = 1, sigma = c(0.15, 0.2, 0.5), 
          nu = c(-2, 0, 4), cols = c(1, 2, 3), maxy = 4, 
          ltype = c(1, 2, 3), no.points = 201, y.axis.lim = 1.1)
          
contRplus_4_33(family = BCT, mu = 1, sigma = c(0.15, 0.2, 0.5), 
          nu = c(-4, 0, 2), tau = c(100, 5, 1), cols = c(1, 2, 3), 
          maxy = 4, ltype = c(1, 2, 3), no.points = 201, 
          y.axis.lim = 1.1)

contR01_2_13(family = "BE", mu = c(0.2, 0.5, 0.8), 
            sigma = c(0.2, 0.5, 0.8), cols = c(1, 2, 3), 
            ltype = c(1, 2, 3), maxy = 7, no.points = 201, 
            y.axis.lim = 1.1, maxYlim = 10, cex.axis = 1.2)

contR01_4_33(family = GB1, mu = c(0.5), sigma = c(0.2, 0.5, 0.7),
            nu = c(1, 2, 5), tau = c(0.5, 1, 2), 
            cols = c(1, 2, 3, 4, 5, 6), maxy = 0.999, 
            ltype = c(1, 2, 3), no.points = 201, 
            y.axis.lim = 1.1, maxYlim = 10)

count_1_31(family = PO, mu = c(1, 2, 5), miny = 0, maxy = 10, 
           cex.y.axis = 1.2, cex.all = 1.5)
           
count_1_22(family = PO, mu = c(1, 2, 5, 10), miny = 0, 
           maxy = 20, cex.y.axis = 1.2, cex.all = 1.5) 
           
count_2_32(family = NBI, mu = c(0.5, 1, 5), sigma = c(0.1, 2), 
           miny = 0, maxy = 10, cex.y.axis = 1.5, cex.all = 1.5)

count_2_32R(family = NBI, mu = c(1, 2), sigma = c(0.1, 1, 2), 
           miny = 0, maxy = 10, cex.y.axis = 1.5, cex.all = 1.5) 
           
count_2_33(family = NBI, mu = c(0.1, 1, 2), sigma = c(0.5, 1, 2), 
          miny = 0, maxy = 10, cex.y.axis = 1.5, cex.all = 1.5) 
          
count_3_32(family = SICHEL, mu = c(1, 5, 10), sigma = c(0.5, 1), 
           nu = c(-0.5, 0.5), miny = 0, maxy = 10, cex.y.axis = 1.5, 
           cex.all = 1.5, cols = c("darkgray", "black"), spacing = 0.2)          
           
count_3_33(family = SICHEL, mu = c(1, 5, 10), sigma = c(0.5, 1, 2), 
           nu = c(-0.5, 0.5, 1), miny = 0, maxy = 10, cex.y.axis = 1.5,
           cex.all = 1.5, cols = c("darkgray", "black"), spacing = 0.3)

Arguments

family	a gamlss family distribution
mu	the mu parameter values
sigma	The sigma parameter values
nu	the nu parameter values
tau	the tau parameter values
bd	the binomial denominator
miny	minimal value for the y axis
maxy	maximal value for the y axis
cex.y.axis	the size of the letters in y axis
cex.all	the overall size
cols	colours
spacing	spacing between plots
ltype	The type of lines used
no.points	the number of points in the curve
y.axis.lim	the maximum value for the y axis
cex.axis	the size of the letters in the axis
maxYlim	the maximum permissible value for Y

Details

Th function plot different types of continuous and discrete distributions: i) contR: continuous distribution defined on minus infinity to plus infinity, ii) contRplus: continuous distribution defined from zero to plus infinity, iii) contR01: continuous distribution defined from zero to 1, iv) bimom binomial type discrete distributions, v) count count type discrete distributions.

The first number after the first underline in the name of the function indicates the number of parameters in the distribution. The two numbers after the second underline indicate how may rows and columns are in the plot.

Value

The result is a plot

Note

more notes

Author(s)

Mikis Stasinopoulos, Robert Rigby, Gillian Heller, Fernada De Bastiani

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. and De Bastiani F., (2019) Distributions for modelling location scale and shape: Using GAMLSS in R, Chapman and Hall/CRC (in press).

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.

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

gamlss.family

Examples

count_1_31()

Stan125/gamlss.dist documentation built on May 12, 2019, 7:38 a.m.