Special Case of Logarithmically Asymptotically OptimalHypothesis Testing of Two Statistically IndependentRandom Variables

The problem of hypotheses testing for a model of consisting from two independent objects isconsidered. it is assumed that five probability distributions are known and objects independentlyfrom each other follow one of them. in this paper using the theorem in ri] which navaei hasproved via the theory of large deviations the matrix of asymptotic inter-dependencies (reliabilityfunctions) of all possible pair; of the error probability exponents in optimal testing for thismodel is determined. the case with two independent objects and two given probabilitydistributions was researched by haroutunian and ahlswedc