Beta Mixture Density
The Beta mixture density and auxilary functions.
mixbeta(..., param = c("ab", "ms", "mn"))
ms2beta(m, s, drop = TRUE)
mn2beta(m, n, drop = TRUE)
## S3 method for class 'betaMix'
summary(object, probs = c(0.025, 0.5, 0.975), ...)
## S3 method for class 'betaBinomialMix'
summary(object, probs = c(0.025, 0.5, 0.975),
...)... |
List of mixture components. |
param |
Determines how the parameters in the list are interpreted. See details. |
m |
Vector of means of beta mixture components. |
s |
Vector of standard deviations of beta mixture components. |
drop |
Delete the dimensions of an array which have only one level. |
n |
Vector of number of observations. |
object |
Beta mixture object. |
probs |
Quantiles reported by the |
Each entry in the ... argument list is expected to
be a triplet of numbers which defines the weight w_k, first
and second parameter of the mixture component k. A triplet
can optionally be named which will be used appropriately.
The first and second parameter can be given in different
parametrizations which is set by the param option:
Natural parametrization of Beta density (a=shape1 and b=shape2). Default.
Mean and standard deviation, m=a/(a+b) and s=√{\frac{m(1-m)}{1+n}}, where n=a+b is the number of observations. Note that s must be less than √{m(1-m)}.
Mean and number of observations, n=a+b.
mixbeta returns a beta mixture with the specified mixture components. ms2beta and
mn2beta return the equivalent natural a and b parametrization given parameters m,
s, or n.
Other mixdist: mixcombine,
mixgamma, mixnorm,
mix, plot.mix
## a beta mixture bm <- mixbeta(rob=c(0.2, 2, 10), inf=c(0.4, 10, 100), inf2=c(0.4, 30, 80)) # mean/standard deviation parametrization bm2 <- mixbeta(rob=c(0.2, 0.3, 0.2), inf=c(0.8, 0.4, 0.01), param="ms") # mean/observations parametrization bm3 <- mixbeta(rob=c(0.2, 0.3, 5), inf=c(0.8, 0.4, 30), param="mn") # even mixed is possible bm4 <- mixbeta(rob=c(0.2, mn2beta(0.3, 5)), inf=c(0.8, ms2beta(0.4, 0.1))) # print methods are defined bm4 print(bm4)
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