The Lindley Distribution

Density, cumulative distribution function, and random generation for the Lindley distribution.

dlind(x, theta, log = FALSE)
plind(q, theta, lower.tail = TRUE, log.p = FALSE)
rlind(n, theta)

Arguments

x, q

vector of quantiles.

n

number of observations. Same as in runif.

log

Logical. If log = TRUE then the logarithm of the density is returned.

theta

positive parameter.

lower.tail, log.p

Same meaning as in pnorm or qnorm.

Value

dlind gives the density, plind gives the cumulative distribution function, and rlind generates random deviates.

Author

T. W. Yee and Kai Huang

Details

See lindley for details.

See also

lindley.

Examples

theta <- exp(-1); x <- seq(0.0, 17, length = 700)
dlind(0:10, theta)
#>  [1] 0.09893802 0.13696992 0.14221600 0.13125600 0.11356936 0.09433534
#>  [7] 0.07618214 0.06026666 0.04693120 0.03609534 0.02748374
if (FALSE) { # \dontrun{
plot(x, dlind(x, theta), type = "l", las = 1, col = "blue",
     main = "dlind(x, theta = exp(-1))")
abline(h = 1, col = "grey", lty = "dashed") } # }