On Arnold–Villasenor Conjectures for ˜ Characterizing Exponential Distribution Based on Sample of Size Three
George P. Yanev
Revstat Statistical Journal · 2020
doi:10.57805/revstat.v18i2.295 (opens in a new tab)
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Abstract
Arnold and Villase˜nor [4] obtain a series of characterizations of the exponential distribution based on random samples of size two. These results were already applied in constructing goodness-of-fit tests in [7]. Extending the techniques from [4], we prove some of Arnold and Villase˜nor’s conjectures for samples of size three. An example with simulated data is discussed.
Abstract licence: CC BY
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