Beta Binomial {rmutil} | R Documentation |
These functions provide information about the beta binomial
distribution with parameters m
and s
: density,
cumulative distribution, quantiles, and random generation.
The beta binomial distribution with total = n and
prob
= m has density
p(y) = B(y+s m,n-y+s (1-m)) Choose(n,y) / B(s m,s (1-m))
for y = 0, ..., n where B() is the beta function.
dbetabinom(y, size, m, s, log=FALSE) pbetabinom(q, size, m, s) qbetabinom(p, size, m, s) rbetabinom(n, size, m, s)
y |
vector of frequencies |
q |
vector of quantiles |
p |
vector of probabilities |
n |
number of values to generate |
size |
vector of totals |
m |
vector of probabilities of success |
s |
vector of overdispersion parameters |
log |
if TRUE, log probabilities are supplied. |
J.K. Lindsey
dbinom
for the binomial, ddoublebinom
for
the double binomial, and dmultbinom
for the multiplicative binomial distribution.
# compute P(45 < y < 55) for y beta binomial(100,0.5,1.1) sum(dbetabinom(46:54, 100, 0.5, 1.1)) pbetabinom(54,100,0.5,1.1)-pbetabinom(45,100,0.5,1.1) pbetabinom(2,10,0.5,1.1) qbetabinom(0.33,10,0.5,1.1) rbetabinom(10,10,0.5,1.1)