ZABB {gamlss.dist} | R Documentation |
The function ZIBB
defines the zero inflated beta binomial distribution, a three parameter distribution,
for a gamlss.family
object to be used in GAMLSS fitting using the function gamlss()
.
The functions dZIBB
, pZIBB
, qZIBB
and rZINN
define the
density, distribution function, quantile function
and random generation for the zero inflated beta binomial, ZIBB
, distribution.
The function ZABB
defines the zero adjusted beta binomial distribution, a three parameter distribution, for a
gamlss.family
object to be used in GAMLSS fitting using the function gamlss()
. The functions dZABB
, pZABB
,
qZABB
and rZABB
define the
density, distribution function, quantile function
and random generation for the zero inflated beta binomial, ZABB()
, distribution.
ZABB(mu.link = "logit", sigma.link = "log", nu.link = "logit") ZIBB(mu.link = "logit", sigma.link = "log", nu.link = "logit") dZIBB(x, mu = 0.5, sigma = 0.5, nu = 0.1, bd = 1, log = FALSE) dZABB(x, mu = 0.5, sigma = 0.1, nu = 0.1, bd = 1, log = FALSE) pZIBB(q, mu = 0.5, sigma = 0.5, nu = 0.1, bd = 1, lower.tail = TRUE, log.p = FALSE) pZABB(q, mu = 0.5, sigma = 0.1, nu = 0.1, bd = 1, lower.tail = TRUE, log.p = FALSE) qZIBB(p, mu = 0.5, sigma = 0.5, nu = 0.1, bd = 1, lower.tail = TRUE, log.p = FALSE) qZABB(p, mu = 0.5, sigma = 0.1, nu = 0.1, bd = 1, lower.tail = TRUE, log.p = FALSE) rZIBB(n, mu = 0.5, sigma = 0.5, nu = 0.1, bd = 1) rZABB(n, mu = 0.5, sigma = 0.1, nu = 0.1, bd = 1)
mu.link |
Defines the |
sigma.link |
Defines the |
nu.link |
Defines the |
x |
vector of (non-negative integer) quantiles |
mu |
vector of positive probabilities |
sigma |
vector of positive dispertion parameter |
nu |
vector of positive probabilities |
bd |
vector of binomial denominators |
p |
vector of probabilities |
q |
vector of quantiles |
n |
number of random values to return |
log, log.p |
logical; if TRUE, probabilities p are given as log(p) |
lower.tail |
logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x] |
For the definition of the distributions see Rigby and Stasinopoulos (2010) below.
The functions ZIBB
and ZABB
return a gamlss.family
object which can be used to fit a
zero inflated or zero adjusted beta binomial distribution respectively in the gamlss()
function.
Mikis Stasinopoulos mikis.stasinopoulos@gamlss.org, 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.
Stasinopoulos D. M., Rigby R.A. and Akantziliotou C. (2006) Instructions on how to use the GAMLSS package in R. Accompanying documentation in the current GAMLSS help files, (see also http://www.gamlss.org/).
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.
Rigby, R. A. and Stasinopoulos D. M. (2010) The gamlss.family distributions, (distributed with this package or see http://www.gamlss.org/)
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.
ZIBB() ZABB() # creating data and plotting them dat <- rZIBB(1000, mu=.5, sigma=.5, nu=0.1, bd=10) r <- barplot(table(dat), col='lightblue') dat1 <- rZABB(1000, mu=.5, sigma=.2, nu=0.1, bd=10) r1 <- barplot(table(dat1), col='lightblue')