Update and Re-fit a GAMLSS Model
update.gamlss is the GAMLSS specific method for the generic function update 
which updates and (by default) refits a GAMLSS model.
## S3 method for class 'gamlss'
update(object, formula., ..., 
               what = c("mu", "sigma", "nu", "tau", "All"), 
               parameter= NULL, evaluate = TRUE)| object | a GAMLSS fitted model | 
| formula. | the formula to update | 
| ... | for updating argument in  | 
| what | the parameter in which the formula needs updating for example "mu", "sigma", "nu" "tau" or "All". If "All" all the formulae are updated. Note that the  | 
| parameter | equivalent to  | 
| evaluate | whether to evaluate the call or not | 
Returns a GAMLSS call or fitted object.
Mikis Stasinopoulos d.stasinopoulos@londonmet.ac.uk, Bob Rigby
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/).
data(aids) # fit a poisson model h.po <-gamlss(y~pb(x)+qrt, family=PO, data=aids) # update with a negative binomial h.nb <-update(h.po, family=NBI) # update the smoothing h.nb1 <-update(h.nb,~cs(x,8)+qrt) # remove qrt h.nb2 <-update(h.nb1,~.-qrt) # put back qrt take log of y and fit a normal distribution h.nb3 <-update(h.nb1,log(.)~.+qrt, family=NO) # verify that it is the same h.no<-gamlss(log(y)~cs(x,8)+qrt,data=aids )
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