(2013), to statistically determine the expected diameter at each ovarian stage, a multinomial distribution
was used, and its probability density function (PDF) was expressed as described by Haddon (2001):
where the document is created by learner l, z is a topic, K is all topics, [[theta].sub.l] is the multinomial distribution
of the learner l over topics, [0.sub.z] is the multinomial distribution
of the topic z over words.
Each topic defines a multinomial distribution
over the original features and is assumed to have been drawn from a Dirichlet.
which is derived from the variance of a multinomial distribution
When the adult geese were resighted, each observation was assigned to one of the six habitat categories (listed in Table 1) resulting in a dataset that was treated as a multinomial distribution
with six mutually exclusive and independent possible outcomes.
In Figure 2, [[beta].sub.k] is a vector consisting of the parameters of multinomial distribution
corresponding to the kth function label.
A multinomial model is a stochastic process where the observations follow a multinomial distribution
. It is sufficient to model observations instead of states, since the observations in a multinomial model can represent states correspondingly with absolute state knowledge.
Therefore, some researchers assume that the volatility of the price of underlying assets follows a multinomial distribution
and use multinomial pricing model to price options (e.g., Madan et al.
They model each patient trace as mixtures of multiple topics, while each topic is modeled as a multinomial distribution
over clinical activities.
In stochastic pooling, the pooled maps are determined by sampling from each pooling region using a multinomial distribution
. We first calculate the probabilities for each pooling region [R.sub.j] by normalizing the values of the nodes within the region in previous convolution layer as follows:
Additional material examines probability distributions, elements of set theory, multinomial distribution
of single-voxel imaging, and other subjects.