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2013 marked the 300th anniversary of Jacob Bernoulli's Ars Conjectandi, which used probability theory to explore the properties of statistics as more observations were taken.
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The asymptotic properties of the statistics are described under both null hypothesis and a suitable sequence of local alternatives.
We have implemented this algorithm in the Galacticus galaxy formation code (Benson 2011, 2012) as an operator acting on merger trees which can optionally be applied prior to galaxy formation calculations are performed, and will utilize this code to test the convergence properties of the statistics of merger trees augmented by our algorithm.
Further general observations on parameter identifiability and its relation to properties of sufficient statistics are given by Picci [10], and a more recent review of the literature is given by Paulino and de Bragança Pereira [11].
To address this gap, we use simulated data to compare the properties of FRC and EHH statistics.
A previous work provided details on the properties of these statistics [ 7].
Therefore, we also compare the properties of test statistics at different optimal allocation targets.
The properties of test statistics will change when the patient allocation ratio changes in adaptive randomization.
The properties of these statistics make them especially suitable for analyzing high-throughput sequencing data or for their integration within the approximate Bayesian computation framework.
Moreover, the calculation of additional properties of the statistics of the first passage time have allowed us to relate the concept of precision of the switch with the variability of the FPT by estimating the 10%and90%0% quantiles.
The difference in performance between iHS and ALnLH, did not result from the properties of the statistics, but instead from the different methods for mitigating the multiple comparison problem inherent in full genome scans.
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