| rvmsinmix {BAMBI} | R Documentation |
The bivariate von Mises sine model mixtures
Description
The bivariate von Mises sine model mixtures
Usage
rvmsinmix(n, kappa1, kappa2, kappa3, mu1, mu2, pmix, method = "naive")
dvmsinmix(x, kappa1, kappa2, kappa3, mu1, mu2, pmix, log = FALSE)
Arguments
n |
number of observations. |
kappa1, kappa2, kappa3 |
vectors of concentration parameters; |
mu1, mu2 |
vectors of mean parameters. |
pmix |
vector of mixture proportions. |
method |
Rejection sampling method to be used. Available choices are |
x |
matrix of angles (in radians) where the density is to be evaluated, with each row being a single bivariate vector of angles. |
log |
logical. Should the log density be returned instead? |
Details
All the argument vectors pmix, kappa1, kappa2, kappa3, mu1 and mu2 must be of
the same length ( = component size of the mixture model), with j-th element corresponding to the
j-th component of the mixture distribution.
The bivariate von Mises sine model mixture distribution with component size K = length(p.mix) has density
g(x) = \sum p[j] * f(x; \kappa_1[j], \kappa_2[j], \kappa_3[j], \mu_1[j], \mu_2[j])
where the sum extends over j; p[j]; \kappa_1[j], \kappa_2[j], \kappa_3[j]; and \mu_1[j], \mu_2[j] respectively denote the mixing proportion,
the three concentration parameters and the two mean parameter for the j-th component, j = 1, ..., K,
and f(. ; \kappa_1, \kappa_2, \kappa_3, \mu_1, \mu_2) denotes the density function of the von Mises sine model
with concentration parameters \kappa_1, \kappa_2, \kappa_3 and mean parameters \mu_1, \mu_2.
Value
dvmsinmix computes the density (vector if x is a two column matrix with more than one row)
and rvmsinmix generates random deviates from the mixture density.
Examples
kappa1 <- c(1, 2, 3)
kappa2 <- c(1, 6, 5)
kappa3 <- c(0, 1, 2)
mu1 <- c(1, 2, 5)
mu2 <- c(0, 1, 3)
pmix <- c(0.3, 0.4, 0.3)
x <- diag(2, 2)
n <- 10
# mixture densities calculated at the rows of x
dvmsinmix(x, kappa1, kappa2, kappa3, mu1, mu2, pmix)
# number of observations generated from the mixture distribution is n
rvmsinmix(n, kappa1, kappa2, kappa3, mu1, mu2, pmix)