estimatePD: Estimate the drop-out probability based on number of alleles
Description
An inferior may to estimate the drop-out probability compared to using the
peak heights from the electropherogram. However, to compare the performance
with Gill et al. (2007) this implements a theoretical approach based on
their line of arguments.
Returns the MLE of \(\Pr(D)\) based on equation (10) in Tvedebrink (2014)
Arguments
n0
Vector of observed allele counts - same length as the number of
loci
m
The number of contributors
pnoa
The vector of \(\P(N(m)=n)\) for \(n=1,\ldots,2Lm\), where \(L\) is the number
of loci and \(m\) is the number of contributors OR
probs
List of vectors with allele probabilities for each locus
theta
The coancestery coefficient
locuswise
Logical. Indicating whether computations should be done
locuswise.
Author
Torben Tvedebrink
Details
Computes the \(\Pr(D)\) that maximises equation (10) in Tvedebrink (2014).
References
Gill, P., A. Kirkham, and J. Curran (2007). LoComatioN: A
software tool for the analysis of low copy number DNA profiles. Forensic
Science International 166(2-3): 128 - 138.
T. Tvedebrink (2014). 'On the exact distribution of the number of
alleles in DNA mixtures', International Journal of Legal Medicine; 128(3):427--37.
<https://doi.org/10.1007/s00414-013-0951-3>
## Simulate some allele frequencies: freqs <- simAlleleFreqs()
## Assume 15 alleles are observed in a 2-person DNA mixture with 10 loci: estimatePD(n0 = 15, m = 2, probs = freqs)