Testing statistical hypotheses with vague data
AbstractA definition of fuzzy test for testing statistical hypotheses with vague data is proposed. Then the general method for the construction of fuzzy tests for hypotheses concerning an unknown parameter against one-sided or two-sided alternative hypotheses is shown. This fuzzy test, contrary to the classical approach, leads not to the binary decision: to reject or to accept given null hypothesis, but to a fuzzy decision showing a grade of acceptability of the null and the alternative hypothesis, respectively. However, it is a natural generalization of the traditional test, i.e. if the data are precise, not vague, we get a classical statistical test with the binary decision. A measure of fuzziness of the considered fuzzy test is suggested and the robustness of that test is also discussed.
|Journal series||Fuzzy Sets and Systems, ISSN 0165-0114|
|Keywords in English||Fuzzy data, Fuzzy test, Hypothesis testing|
|Publication indicators||= 53; = 72; : 2014 = 2.278 - 2014=2.278; : 2007 = 1.618 (5) - 2006=1.181 (2)|
|Citation count*||126 (2015-08-19)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.