R: Normal Mixture Density

dnorMix {nor1mix} | R Documentation

## Normal Mixture Density

### Description

Evaluate the density function of the normal mixture specified as `norMix` object.

### Usage

    dnorMix (x, obj,        log = FALSE)

    dnorMixL(obj, x = NULL, log = FALSE, xlim = NULL, n = 511)
    dpnorMix(x, obj, lower.tail = TRUE)

### Arguments

`obj` | an object of class `norMix`.
`x` | numeric vector with abscissa values where to evaluate the density (and probability, for `dpnorMix()`). For `dnorMixL()` by default, when `NULL`, it is constructed from `n` (and `xlim` if that is specified).
`log` | logical indicating log-density values should be returned.
`xlim` | range of abscissa values, used if `x == NULL`. By default, xlim is taken as mean plus/minus 3 standard deviations of the normal mixture.
`n` | number of abscissa values to generate if `x` is not specified.
`lower.tail` | logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x].

### Value

`dnorMix(x)` returns the numeric vector of density values f(x), logged if `log` is TRUE.

`dnorMixL()` returns a list with components

`x` | the abscissa values.
`y` | the density values f(x) as for `dnorMix()`.

`dpnorMix()` returns a list with components

`d` | the density values f(x) as for `dnorMix()`.
`p` | the probability values F(x) as for `pnorMix()`.

### See Also

`rnorMix` for random number generation, and `norMix` for the construction and further methods, particularly `plot.norMix` which makes use `dnorMix`.

### Examples

     ff <- dnorMixL(MW.nm7)
     str(ff)
     plot(ff, type = "h", ylim = c(0,1)) # rather use plot(ff, ...)

     x <- seq(-4,5, length=501)
     dp <- dpnorMix(x, MW.nm7)
     lines(x, dp$d, col = "tomato", lwd=3)
     lines(x, dp$p, col = 3, lwd=2)# does not fit y-wise
     stopifnot(all.equal(dp$d, dnorMix(x, MW.nm7), tolerance=1e-12),
               all.equal(dp$p, pnorMix(x, MW.nm7), tolerance=1e-12))

[Package nor1mix version 1.2-3 Index]