On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three

George Yanev

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arXiv · 2006.00321

On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three

George Yanev

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Abstract

Arnold and Villasenor (2013) 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. Extending the techniques from Arnold and Villasenor (2013), we prove some of the conjectures for samples of size three. An example with simulated data is discussed.

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George Yanev. 2020-05-30. On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three. https://arxiv.org/abs/2006.00321

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