# Answer to Question #442 in Statistics and Probability for Bridget

Question #442

Are there two different characteristic functions that coincide on some interval containing the origin?

Expert's answer

Yes, there are. For example:

F1(x) = 1, x Є [-1, 1]; F1(x) = 2-x, x Є [1, 2],

F2(x) = 1, x Є [-1, 2]; F2(x) = 3-x, x Є [2, 3].

F1(x) = 1, x Є [-1, 1]; F1(x) = 2-x, x Є [1, 2],

F2(x) = 1, x Є [-1, 2]; F2(x) = 3-x, x Є [2, 3].

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