We study hypothesis testing problems with fixed compression mappings and user-dependent to decide whether or not an observation sequence is related one of the users in a database, which contains compressed versions previously enrolled users' data. first provide optimal characterization exponent probability second type error for scenario when number database grows exponentially. then establish o...

Two active hypothesis testing problems are formulated. In these problems, the agent can perform a fixed number of experiments and then decide on one hypotheses or declare its inconclusive. The first problem is an asymmetric formulation in which objective to minimize probability incorrectly declaring particular be true while ensuring that correctly moderately high. This generalization Chernoff–S...

This paper reviews and compares two R packages ``FPV" and ``Fuzzy.p.value".These packages are designed for testing hypotheses in a fuzzy environment using a fuzzy $p$-value based approach.In fact, the packages ``FPV" and ``Fuzzy.p.value" propose some useful functions for testing hypotheses when the data / hypotheses are fuzzy rather than crisp.The proposed methods and function...