neg_log_wlik

Log-Likelihood function based on R1, R2, R3 and R4 with sampling weights multiplied by -1.

internal

A system contains easy-to-use tools for the conditional estimation of the prevalence of an emerging or rare infectious diseases using the methods proposed in Guerrier et al. (2023) <arXiv:2012.10745>.

St<c3><a9>phane Guerrier

pempi

Proportion Estimation with Marginal Proxy Information

Stéphane Guerrier

Maria-Pia Victoria-Feser

Christoph Kuzmics

neg_log_wlik function

<dl><dt>theta</dt>
<dd>A <code>numeric</code> value for the paramerer of interest.</dd>
<dt>Rvect</dt>
<dd>A <code>vector</code> of observations, i.e. (R1, R2, R3, R4).</dd>
<dt>n</dt>
<dd>A <code>numeric</code> that provides the sample size.</dd>
<dt>pi0</dt>
<dd>A <code>numeric</code> that provides the prevalence or proportion of people (in the whole population) who are positive, as measured through a non-random,
but systematic sampling (e.g. based on medical selection).</dd>
<dt>alpha</dt>
<dd>A <code>numeric</code> that provides the False Negative (FN) rate for the sample R.</dd>
<dt>beta</dt>
<dd>A <code>numeric</code> that provides the False Positive (FP) rate for the sample R.</dd>
<dt>alpha0</dt>
<dd>A <code>numeric</code> that corresponds to the probability that a random participant
has been incorrectly declared positive through the nontransparent procedure. In most applications,
this probability is likely very close to zero.</dd>
<dt>...</dt>
<dd>Additional arguments.</dd></dl>

Arguments

Author

Negative Weighted Log-Likelihood function — neg_log_wlik

<dl>

<dt>theta</dt>
<dd>A <code>numeric</code> value for the paramerer of interest.</dd>


<dt>Rvect</dt>
<dd>A <code>vector</code> of observations, i.e. (R1, R2, R3, R4).</dd>


<dt>n</dt>
<dd>A <code>numeric</code> that provides the sample size.</dd>


<dt>pi0</dt>
<dd>A <code>numeric</code> that provides the prevalence or proportion of people (in the whole population) who are positive, as measured through a non-random,
but systematic sampling (e.g. based on medical selection).</dd>


<dt>alpha</dt>
<dd>A <code>numeric</code> that provides the False Negative (FN) rate for the sample R.</dd>


<dt>beta</dt>
<dd>A <code>numeric</code> that provides the False Positive (FP) rate for the sample R.</dd>


<dt>alpha0</dt>
<dd>A <code>numeric</code> that corresponds to the probability that a random participant
has been incorrectly declared positive through the nontransparent procedure. In most applications,
this probability is likely very close to zero.</dd>


<dt>...</dt>
<dd>Additional arguments.</dd>

</dl>

neg_log_wlik: Negative Weighted Log-Likelihood function

Description

Usage

Value

Arguments

Author