getTheta: Recover the "discoverability coefficient".

Description Usage Arguments Value Note References See Also

Description

Estimates the effect of the degree on the rate of sampling. Also known as the "coefficient of discoverability" in the oil-discovery literature [2]. Formally, we estimate θ and β_0 assuming that β_k:= β_0 * k^θ.

Usage

1
  getTheta(rds.object, bin=1, robust=TRUE)

Arguments

rds.object

A rds-object with a estimates component as returned by Estimate.b.k

bin

Bin degree counts. See Note.

robust

Should β_0 and θ be recovered from β_k using a robust method (default) or not.

Value

A list including the following components:

log.beta_0

The log of β_0 in β_k:= β_0 * k^θ.

theta

θ in β_k:= β_0 * k^θ.

Note

If degree counts have been binned by initializeRdsObject (for variance reduction), the same value has to be supplied to getTheta for correct estimation.

References

[1] Berchenko, Yakir, Jonathan Rosenblatt, and Simon D. W. Frost. "Modeling and Analyzing Respondent Driven Sampling as a Counting Process."" arXiv:1304.3505. HTTP://arXiv.org/abs/1304.3505. [2] Bloomfield, P., K.S. Deffeyes, B. Silverman, G.S. Watson, Y. Benjamini, and R.A. Stine. Volume and Area of Oil Fields and Their Impact on Order of Discovery, 1980. http://www.osti.gov/scitech/servlets/purl/6037591.

See Also

Estimate.b.k, initializeRdsObject, makeRdsSample



Search within the chords package
Search all R packages, documentation and source code

Questions? Problems? Suggestions? or email at ian@mutexlabs.com.

Please suggest features or report bugs with the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.