Truncated Poisson distribution
Density, distribution function, quantile function and random generation for the truncated Poisson distribution.
dtpois(x, lambda, a = -Inf, b = Inf, log = FALSE) ptpois(q, lambda, a = -Inf, b = Inf, lower.tail = TRUE, log.p = FALSE) qtpois(p, lambda, a = -Inf, b = Inf, lower.tail = TRUE, log.p = FALSE) rtpois(n, lambda, a = -Inf, b = Inf)
x, q |
vector of quantiles. |
lambda |
vector of (non-negative) means. |
a, b |
lower and upper truncation points ( |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X ≤ x] otherwise, P[X > x]. |
p |
vector of probabilities. |
n |
number of observations. If |
Plackett, R.L. (1953). The truncated Poisson distribution. Biometrics, 9(4), 485-488.
Singh, J. (1978). A characterization of positive Poisson distribution and its statistical application. SIAM Journal on Applied Mathematics, 34(3), 545-548.
Dalgaard, P. (May 1, 2005). [R] simulate zero-truncated Poisson distribution. R-help mailing list. https://stat.ethz.ch/pipermail/r-help/2005-May/070680.html
x <- rtpois(1e5, 14, 16) xx <- seq(-1, 50) plot(prop.table(table(x))) lines(xx, dtpois(xx, 14, 16), col = "red") hist(ptpois(x, 14, 16)) xx <- seq(0, 50, by = 0.01) plot(ecdf(x)) lines(xx, ptpois(xx, 14, 16), col = "red", lwd = 2) uu <- seq(0, 1, by = 0.001) lines(qtpois(uu, 14, 16), uu, col = "blue", lty = 2) # Zero-truncated Poisson x <- rtpois(1e5, 5, 0) xx <- seq(-1, 50) plot(prop.table(table(x))) lines(xx, dtpois(xx, 5, 0), col = "red") hist(ptpois(x, 5, 0)) xx <- seq(0, 50, by = 0.01) plot(ecdf(x)) lines(xx, ptpois(xx, 5, 0), col = "red", lwd = 2) lines(qtpois(uu, 5, 0), uu, col = "blue", lty = 2)
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.