However, there is no statistical guarantee on how close an estimate obtained through maximization of a surrogate likelihood is to the true parameter (Banerjee et al., 2008).
To our knowledge, none of the earlier methods (Basso et al., 2005; Friedman et al., 2000; Ong, 2002) provide a statistical guarantee for recovered networks or are amenable to such analysis.
Our competence-based concept detection method requires no prior knowledge of case distribution and provides statistical guarantees on the reliability of the changes detected, as well as meaningful descriptions and quantification of these changes.
More specifically, we find the values of the probabilities p and q along with the maximum secondary transmission rates and powers that maximize the average rate of a secondary user while providing statistical guarantees for the performance of PRNs.
In order to study the statistical guarantees of our algorithm, we need to take three aspects into account.
MP-EST is one of the popular methods for estimating species trees from a collection of gene trees, and has statistical guarantees under the multi-species coalescent model.
Some of these DCMs are useful for large-scale optimization but do not provide any statistical guarantees (Huson et al., 1999b; Roshan et al., 2004).
Essentially, this procedure draws samples until it can assert or reject a probabilistic formula with statistical guarantees on the error rates.
Despite its good empirical performance, DACTAL provides no statistical guarantees, and it is likely that statistical methods based on models of evolution that treat indels as events, rather than as missing data, would produce more accurate trees (Warnow, 2012).
By stating the problem in this format, n is dynamically determined by the sequential hypothesis testing procedure and is minimum for each test instance with statistical guarantees on the error rates.
However, when the genes evolve down different tree topologies, which can happen in the presence of gene duplication and loss, horizontal gene transfer, or incomplete lineage sorting, then there are no statistical guarantees for concatenated analyses.
