Inferring transactions from financial statements

The double entry accounting structure is embedded in a simple belief revision (estimation) problems. The following questions is asked: Presented with a set of financial statements (and priors), what is the reader's "best guess" of the underlying transactions that generated these statements? Two properties of accounting information facilitate a particularly simple closed form solution to this estimation problem. First, accounting information is the outcome of a linear aggregation process. Second, the aggregation rule is double entry.