How to interpret direct&assumed losses in Intercompany pooling arrangement?

In a scenario where there are two companies A and B in an intercompany pooling arrangement, how do I calculate direct & assumed losses and premiums? Can you explain with an example please?
Where I am getting confused is, in my mind the losses directly incurred by, say, company A would be direct loss and the loss it assumes through the pooling arrangement is assumed loss. So I am compelled to add these two, but this might double count the losses.

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