Sequential Test of Fuzzy Hypotheses

• 作者: Mohammad Ghasem Akbari
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: CANONICAL FUZZY Number FUZZY Hypotheses Type I and II ERROR SIZES SEQUENTIAL PROBABILITY Ratio Test
• 年，卷（期）: 2011,（2）
• 页码范围: 87-92
• 页数: 6页
• 分类号: O1

摘要

In testing statistical hypotheses, as in other statistical problems, we may be confronted with fuzzy concepts. This paper deals with the problem of testing hypotheses, when the hypotheses are fuzzy and the data are crisp. We first give new definitions for notion of mass (density) probability function with fuzzy parameter, probability of type I and type II errors and then state and prove the sequential probability ratio test, on the basis of these new errors, for testing fuzzy hypotheses. Numerical examples are also provided to illustrate the approach.