When Is a Distribution Determined by Its Letter Values ?
نویسنده
چکیده
Suppose that the differences between the successive letter values of a continuous symmetric distribution form a geometric progression. Under very simple regularity assumptions it is shown that the distribution is uniquely determined. As an application, a statistic based only on the letter values is constructed for testing the hypothesis that a data set is drawn from any given, completely specified distribution. AMS 1980 Subject Classification: 62G25. Primary 62GIO, Secondary testing uniform and phrases: Letter values, hypothesis data analysis, Laplace distribution,
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