boneh.mincount {preseqR}R Documentation

Estimating the expected number of species represented r or more times

Description

The function estimates the expected number of species represented at least r times in a random sample based on the initial sample using a nonparametric approach by Boneh et al. (1998).

Usage

boneh.mincount(n, r=1)

Arguments

n

A two-column matrix. The first column is the frequency j = 1,2,…; and the second column is n_j, the number of species with each species represented j times in the initial sample. The first column must be sorted in an ascending order.

r

A vector of positive integers. Default is 1.

Value

The constructed estimator for the number of species represneted at least r times in a sample. The input of the estimator is a vector of sampling efforts t, i.e. the relative sample sizes comparing with the initial sample. For example, t = 2 means the sample is twice the size of the initial sample.

Author(s)

Chao Deng

References

Boneh, S., Boneh, A., & Caron, R. J. (1998). Estimating the prediction function and the number of unseen species in sampling with replacement. Journal of the American Statistical Association, 93(441), 372-379.

Examples

## load library
library(preseqR)

## import data
data(FisherButterflyHist)

## construct the estimator for the number of species
## represented at least once, twice or three times in a sample
boneh.estimator <- boneh.mincount(FisherButterflyHist, r=1:3)

## The number of species represented at least once, twice or three times
## when the sample size is 10 or 20 times of the initial sample
boneh.estimator(c(10, 20))

[Package preseqR version 3.1.2 Index]