BI
(Package: gamlss.dist) :
Binomial distribution for fitting a GAMLSS
The BI() function defines the binomial distribution, a one parameter family distribution, for a gamlss.family object to be used in GAMLSS fitting using the function gamlss(). The functions dBI, pBI, qBI and rBI define the density, distribution function, quantile function and random generation for the binomial, BI(), distribution.
ZAIG
(Package: gamlss.dist) :
The zero adjusted Inverse Gaussian distribution for fitting a GAMLSS model
The function ZAIG() defines the zero adjusted Inverse Gaussian distribution, a three parameter distribution, for a gamlss.family object to be used in GAMLSS fitting using the function gamlss(). The zero adjusted Inverse Gaussian distribution is similar to the Inverse Gaussian distribution but allows zeros as y values. The extra parameter models the probabilities at zero. The functions dZAIG, pZAIG, qZAIG and rZAIG define the density, distribution function, quantile function and random generation for the ZAIG parameterization of the zero adjusted Inverse Gaussian distribution. plotZAIG can be used to plot the distribution. meanZAIG calculates the expected value of the response for a fitted model.
EXP
(Package: gamlss.dist) :
Exponential distribution for fitting a GAMLSS
The function EXP defines the exponential distribution, a one parameter distribution for a gamlss.family object to be used in GAMLSS fitting using the function gamlss(). The mu parameter represents the mean of the distribution. The functions dEXP, pEXP, qEXP and rEXP define the density, distribution function, quantile function and random generation for the specific parameterization of the exponential distribution defined by function EXP.
LNO
(Package: gamlss.dist) :
Log Normal distribution for fitting in GAMLSS
The functions LOGNO and LOGNO2 define a gamlss.family distribution to fits the log-Normal distribution. The difference between them is that while LOGNO retains the original parametrization for mu, (identical to the normal distribution NO) and therefore mu=(-Inf,+Inf), the function LOGNO2 use mu as the median, so mu=(0,+Inf).
LOGITNO
(Package: gamlss.dist) :
Logit Normal distribution for fitting in GAMLSS
The functions dLOGITNO, pLOGITNO, qLOGITNO and rLOGITNO define the density, distribution function, quantile function and random generation for the logit-normal distribution. The function LOGITNO can be used for fitting the distribution in gamlss().
The ex-Gaussian distribution is often used by psychologists to model response time (RT). It is defined by adding two random variables, one from a normal distribution and the other from an exponential. The parameters mu and sigma are the mean and standard deviation from the normal distribution variable while the parameter nu is the mean of the exponential variable. The functions dexGAUS, pexGAUS, qexGAUS and rexGAUS define the density, distribution function, quantile function and random generation for the ex-Gaussian distribution.
This package contains all distributions to be used for GAMLSS models. Each distributions has its probability function, d, its commutative probability function, p, the inverse of the commutative probability function, q, its random generation function, r, and also the gamlss.family generating function
EGB2
(Package: gamlss.dist) :
The exponential generalized Beta type 2 distribution for fitting a GAMLSS
This function defines the generalized t distribution, a four parameter distribution. The response variable is in the range from minus infinity to plus infinity. The functions dEGB2, pEGB2, qEGB2 and rEGB2 define the density, distribution function, quantile function and random generation for the generalized beta type 2 distribution.
ZIPIG
(Package: gamlss.dist) :
Zero inflated Poisson inverse Gaussian distributions for fitting a GAMLSS model
The function ZIPIG defines the zero inflated Poisson inverse Gaussian distribution, a three parameter distribution, for a gamlss.family object to be used in GAMLSS fitting using the function gamlss(). The functions dZIPIG, pZIPIG, qZIPIG and rZIPIG define the density, distribution function, quantile function and random generation for the zero inflated negative binomial, ZIPIG(), distribution.
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