Characterizing the Gaussian and exponential laws via mappings onto the unit interval

Author:

CsörgŐ M.,Seshadri V.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference6 articles.

1. CsörgŐ, M., Seshadri,V.: Exact tests for the exponential and normal family of distributions in the presence of unknown parameters I. Unpublished notes, McGill University 1968.

2. Hajós, G., Rényi, A.: Elementary proofs of some basic facts concerning order statistics. Acta math. Acad. Sci. Hungar. 5, 1–6 (1954).

3. Patil, G.P., Seshadri, V.: Characterization theorems for some univeriate probability distributions. J. roy. statist. Soc. Ser. B. 26, 286–292 (1964).

4. Prohorov, Yu.V.: Some characterization problems in statistics. Proc. Fifth Berkeley Symp. Math. Statist. Prob. 1, 341–349, 1966.

5. Rènyi, A.: On the theory of order statistics. Acta math. Acad. Sci. Hungar. 4, 191–231 (1953).

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