The central limit theorem for particle filters has been established in [13] which, due to its minimal assumptions on the distribution of interest, applies to various forms of particle filtering algorithms.
On the other hand, we will make minimal assumptions on the structure of the consensus motif, e.g. on the position of mismatches along the set of over-represented patterns.
Importantly, our model involves only minimal assumptions on the biochemical nature of the interactions between the receptors and the MTs.
This method of DS also has minimal assumptions on the underlying statistical model, as it is nonparametric.
Under the minimal assumption of directional symmetry of the underlying distribution, the null asymptotic distribution of the sign test statistic is shown to be chi-square with p−1 degrees of freedom.
Since the model is based on minimal assumptions on the receptor/cytoskeleton interactions, its validity extends to polarity formation beyond the case of GABA gradient sensing.
This significance threshold was determined by using the classical method of nonparametric permutation testing [31, 32], requiring minimal assumptions (for example, about the shape of the population distribution) for validity.
Therefore, we formulated a simple analytical model with minimal assumptions to obtain insight into the properties of the hub-and-spoke microcircuit motif.
A study with good directness requires minimal assumptions to draw conclusions about the magnitude of overdiagnosis and avoids extrapolating over gaps in the evidence.
Briefly summarizing the relevant experimental observations, we motivate a set of minimal assumptions that form the basis of our modelling: (1) There is evidence that the regulation of Oct4 and Sox2 is primarily facilitated by the action of an Oct4-Sox2 heterodimer [7].
