binom: Binomial Distribution

Description Usage Arguments Details Value Note Examples

Description

Binomial distribution with size n and probability of success p.

Usage

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expValBinom(size, prob)

varBinom(size, prob)

expValTruncBinom(d, size, prob, less.than.d = TRUE)

VatRBinom(kap, size, prob)

TVatRBinom(kap, size, prob)

pgfBinom(t, size, prob)

mgfBinom(t, size, prob)

Arguments

size

Number of trials (0 or more).

prob

Probability of success in each trial.

d

cut-off value.

less.than.d

logical; if TRUE (default) truncated mean for values <= d, otherwise, for values > d.

kap

probability.

t

t.

Details

The binomial distribution with probability of success p for n trials has probability mass function :

Pr(X = k) = n!/(k!(n - k)!) p^n(1 - p)^(n - k)

for k = 0, 1, 2, ..., n, 0 <= p <= 1, and n > 0

Value

Function :

Invalid parameter values will return an error detailing which parameter is problematic.

Note

Function VatRBinom is a wrapper of the qbinom function from the stats package.

Examples

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expValBinom(size = 3, prob = 0.5)

varBinom(size = 3, prob = 0.5)


expValTruncBinom(d = 2, size = 3, prob = 0.5)
expValTruncBinom(d = 0, size = 3, prob = 0.5, less.than.d = FALSE)


VatRBinom(kap = 0.8, size = 5, prob = 0.2)

TVatRBinom(kap = 0.8, size = 5, prob = 0.2)


pgfBinom(t = 1, size = 3, prob = 0.5)

mgfBinom(t = 1, size = 3, prob = 0.5)

Distributacalcul documentation built on Sept. 13, 2020, 5:19 p.m.