One-truncated Positive-Poisson Distribution
Density, distribution function, quantile function, and random generation for the one-truncated positive-Poisson distribution.
dotpospois(x, lambda, log = FALSE) potpospois(q, lambda, log.p = FALSE) qotpospois(p, lambda) rotpospois(n, lambda)
The one-truncated positive-Poisson is a Poisson distribution but with
the probability of a one and a zero being 0.
That is, its support is 2, 3, ....
The other probabilities are scaled to add to unity.
Some more details are given in pospoisson
.
dotpospois
gives the density,
potpospois
gives the distribution function,
qotpospois
gives the quantile function, and
rotpospois
generates random deviates.
Given some response data, the VGAM family function
otpospoisson
estimates the parameter lambda
.
T. W. Yee
dotpospois(1:20, 0.5) rotpospois(20, 0.5) ## Not run: lambda <- 4; x <- 1:10 plot(x, dotpospois(x, lambda = lambda), type = "h", ylim = 0:1, sub = "lambda=4", las = 1, col = "blue", ylab = "Probability", main = "1-truncated positive-Poisson distribution: blue=PMF; orange=CDF") lines(x + 0.1, potpospois(x, lambda = lambda), col = "orange", lty = 3, type = "h") ## End(Not run)
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