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On bounded range distribution of a Wiener process


Abstract: We present an exact distribution for the bounded range of a Wiener process by using the truncation method of the probability distributions. Rather than deriving some statistical properties of this distribution including reliability properties, moments, stress-strength parameter, order statistics, Bonferroni curve, Lorenz curve and Gini's index, a data set is analyzed to clarify the effectiveness of this distribution.
Keywords: Tuncated distribution / Wiener process / Statistical properties of the distribution / Order Statistics

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