Summary
Likes obtains the distributions ofDixon’s statistics for an exponential population and tabulates upper 100α% points (α=0.1, 0.05, 0.01) of some of these distributions. The distribution of these statistics can be expressed in terms of finite series of beta functions and hence the probabilities of the rejection of suspected observed outliers may be easily calculated on a desk calculator. Thus we may avoid the difficult task of tabulating 100α% values of these statistics.
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References
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Kabe, D.G. Testing outliers from an exponential population. Metrika 15, 15–18 (1970). https://doi.org/10.1007/BF02613551
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DOI: https://doi.org/10.1007/BF02613551