Background If an appropriate probability distribution cannot be identified for a given situation, it becomes extremely difficult to draw reliable inferences about the given domain of study under investigation. This is due to the fact that statistical theory of testing of hypothesis cannot be meaningfully employed in those cases. To deal with such situations, Uncertainty theory is recommended as an alternative by Liu (2007) and testing the validity of the hypotheses about uncertainty distributions is currently receiving the attention of researchers. Methods In this paper, for testing uncertain hypotheses about the true uncertainty distribution function, a new test procedure based on the inputs given by one or more domain experts is suggested. The proposed method can also be used for testing uncertain hypotheses about the equality of two uncertainty distribution functions. Results Illustrative examples are also provided in support of the test procedure suggested in this paper to demonstrate the utility of the same. Conclusions The same methodology can be used for testing the equality of two uncertainty distributions by making use of the ratio used in the construction of the test.
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