| EVm {UCS} | R Documentation |
Computes the expected frequency spectrum, relative frequency spectrum, and conditional parameter distribution of a LNRE model (Baayen, 2001) at sample size N.
EVm(model, m, N, rho=1, relative=FALSE, ratio=FALSE, lower=TRUE)
model |
an object of class "zm" or "fzm",
representing a Zipf-Mandelbrot (ZM) or finite Zipf-Mandelbrot (fZM)
LNRE model |
m |
a vector of positive integers, representing frequency ranks |
N |
a vector of positive integers, representing sample sizes;
either m or N should be a single number |
rho |
a vector of numbers in the range [0,1]. If
length(rho) > 1, both m and N should be single
numbers. See below for details. |
relative |
if TRUE, computes the relative frequency
spectrum (see below for details) |
ratio |
if TRUE, computes the ratio between consecutive
elements in the expected frequency spectrum |
lower |
if rho is specified, controls whether the lower or
upper conditional parameter distribution is computed |
The expected frequency spectrum consists of the numbers
E[V_m(N)], which stand for the expected number of types in
frequency class m at sample size N, according to the LNRE
model model (see Baayen, 2001).
If relative=TRUE, the relative frequency spectrum
E[V_m(N)] / E[V(N)] is returned. If ratio=TRUE, the
ratios between consecutive expected class sizes, E[V_{m+1}(N)] /
E[V_m(N)], are returned.
When rho is specified, the conditional parameter distribution
E[V_{m,ρ}(N)] is returned, i.e. the expected number of types
in frequency class m at sample size N with probability
parameter π ≤ ρ. If relative=TRUE, the expected
proportion E[R_{m,ρ}] \approx E[V_{m,ρ}(N)] / E[V(N)] is
returned instead. With lower=FALSE, computes the upper
conditional parameter distribution E[V_{m,>ρ}(N)] or
proportion E[R_{m,>ρ}(N)]. See Evert (2004, Ch. 4) for
details.
a numeric vector of appropriate length (determined either by m,
N, or rho)
Baayen, R. Harald (2001). Word Frequency Distributions. Kluwer, Dordrecht.
Evert, Stefan (2004). The Statistics of Word Cooccurrences: Word Pairs and Collocations. PhD Thesis, IMS, University of Stuttgart.