getTheta: Recover the "discoverability coefficient".

Description Usage Arguments Value Note References See Also

View source: R/utility.R

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


chords documentation built on May 30, 2017, 3:39 a.m.

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