dbetabinom(y, n, m, s) pbetabinom(q, n, m, s)
y
| vector of frequencies |
q
| vector of quantiles |
n
| vector of totals |
m
| vector of probabilities |
s
| vector of overdispersion parameters |
m
and s
. dbetabinom
gives the density and pbetabinom
gives the distribution function.
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.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)