Aggregating Inconclusive Data Sets

An administrator is provided with data collected by several practitioners. These data may include inconclusive observations. The administrator is required to form a frequency distribution on the states of nature that would be approved by external auditors as long as it is compatible with the available information. We provide necessary and sufficient conditions for the compatibility of the administrator frequency distribution with the data collected by the practitioners, according to two auditing criteria. We discuss the computational burden in a complete resolution of the ambiguity inherent in inconclusive data