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2. Allowed distributions of the state entries

In the current version of the code, the all the distributions are restricted to belong to some parametric families listed in Table 1 below.

Table 1. Allowed families of distributions


 
# ID Name Range
1 BT Beta (0,1)
2 DS Discrete (m) {0;1;...;m-1}
3 BN Bernoulli {0;1}
4 GS Normal (-,)
5 RL Rayleigh (0,)
6 PS Poisson {0,1,2,...}
According to the above restriction, the distribution of the state vector Y is completely identified by the following data:
  • number k  of different groups of identically distributed entries in  Y
  • collection of ID's ID[i] and parameters  vi i=1,...m, specifying the distribution of entries from a single group.
  • We refer to the collection

    ID = {ID[i] | i=1,...,k}

    as to the type of the distribution of Y, and to the vector

    v = {vi | i=1,...,k}

    as to the actual parameter vector of the distribution of  Y.


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