Abstract
We show that for a simple random sample from a discrete distribution on the positive integers, the regression ofX (2∶n) onX (1∶n) is linear with unit slope if and only if the distribution is geometric.
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References
Arnold, B.C.;Balakrishnan, N. andNagaraja, H.N. (1992).A First Course in Order Statistics. Wiley, New York.
Ferguson, T.S. (1967). On Characterizing Distributions by Properties of Order Statistics.Sankhya A (29), 265–278.
Kirmani, S.N.U.A.; Alam, S.N. (1980). Characterization of the Geometric Distribution by the Form of a Predictor.Comm. Statist, 541–547.
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López-Blázquez, F., Miño, B.S. A characterization of the geometric distribution. Statistical Papers 39, 231–236 (1998). https://doi.org/10.1007/BF02925410
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DOI: https://doi.org/10.1007/BF02925410