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The term Zipfian distribution refers to a distribution of probabilities of occurrence that follows Zipf's law.
Figure 8 Respondents' preference and perceived helpfulness of two different types of map content: maps depicting a distribution of probabilities of reaching and exceeding a fixed ash threshold, such as 10 mm (fixed ash threshold), and maps depicting a distribution of ash thicknesses expected at a fixed probability threshold, such as 25% (fixed probability threshold) (see Figure 3 ).
Map A depicts the hazard using a fixed ash threshold – a distribution of probabilities of reaching and exceeding a fixed ash threshold, here, 1 mm, and map B depicts the hazard using a fixed probability threshold – a distribution of ash thicknesses expected at a fixed probability threshold, here, 25%.
Alternatively, the distribution of the values could be used in a Monte Carlo process to generate a distribution of probabilities to allow a probabilistic characterization of P, B, or T. Ideally, all guidelines and criteria should be based only on scientific evidence.
In this scenario there is no a priori deterministic certainty to the particle's emission, only a distribution of probabilities.
The highest level of specialization of a given motif would correspond to a distribution of probabilities displaying a single peak, whereas the maximum level of flexibility would correspond to a flat distribution of probabilities, where all the potential dynamics would be equally probable.
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A beta-binomial distribution assumes a distribution of infection probabilities among individuals instead of a uniform probability for all individuals but still has a discrete outcome per individual of infected or uninfected [ 52].
The ratio of these to the true incidence gives a distribution of ascertainment probabilities, s, across all clinics.
The maximum flexibility would correspond to a system where all possible dynamics have the same probability, i.e. a flat distribution of probabilities and hence minimal kurtosis.
In fact EIRENE determines the flight distance of a neutral particle from an effective mean free path and samples the type of collision at the point of collision from a discrete distribution of probabilities of the involved collision processes.
LDPC codes are suited for channels where losses occur following a uniform distribution of probability, and each loss is independent from all the other ones, i.e., memoryless channels [16].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com