R: The Asselin de Beauville Mode Estimator

asselin {modeest}

R Documentation

The Asselin de Beauville Mode Estimator

Description

This mode estimator is based on the algorithm described in Asselin de Beauville (1978).

Usage

  asselin(x, 
          bw = NULL, 
          ...)

Arguments

`x`	numeric. Vector of observations.
`bw`	numeric. A number in `(0, 1]`. If `bw = 1`, the selected 'modal chain' may be too long.
`...`	further arguments to be passed to the `quantile` function.

Value

A numeric value is returned, the mode estimate.

Note

The user should preferentially call asselin through mlv(x, method = "asselin", ...). This returns an object of class mlv.

Author(s)

P. Poncet

References

Asselin de Beauville J.-P. (1978). Estimation non parametrique de la densite et du mode, exemple de la distribution Gamma. Revue de Statistique Appliquee, 26(3):47-70.

Examples

x <- rbeta(1000, shape1 = 2, shape2 = 5)

## True mode:
betaMode(shape1 = 2, shape2 = 5)

## Estimation:
asselin(x, bw = 1)
asselin(x, bw = 1/2)
M <- mlv(x, method = "asselin")
print(M)
plot(M)

[Package modeest version 2.1 Index]