in some quality control applications, the quality of a process or a product is described by the relationship between a response variable and one or more explanatory variables, called a profile. moreover, in most practical applications, the qualitative characteristic of a product/service is vague, uncertain and linguistic and cannot be precisely stated. the purpose of this paper is to propose a ...

In applied settings, tests of hypothesis where a nuisance parameter is only identifiable under the alternative often reduces into one Testing One Hypothesis Multiple times (TOHM). Specifically, fine discretization space non-identifiable specified, and null tested against set sub-alternative hypothesis, for each point discretization. The resulting sub-test statistics are then combined to obtain ...

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...