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Statistical Methods for Fuzzy Data by Reinhard Viertl

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13.3 Problems

a. Take a fuzzy sample of a normal distribution N(μ, σ2) whose characterizing functions are trapezoidal. How is the p-value for a hypothesis : μ = μ0 with given μ0 calculated?

b. Work out the details of the construction of the characterizing function of p* in Figure 13.3.

c. Continuing from (a), how is the fuzzy p-value p* calculated?

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