Goodness-of-fit tests based on characterizations of continuous distributions

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1. [1] W. Dziubdziela and B. Kopociński, Limiting properties of the $k$-th record values, Zastos. Mat. 15 (1976), 187-190. Zbl0337.60023
2. [2] Z. Grudzień and D. Szynal, Characterization of continuous distributions in terms of moments of extremal statistics, J. Math. Sci. 81 (1996), 2912-2936. Zbl0871.62016
3. [3] Z. Grudzień and D. Szynal, Characterizations of continuous distributions via moments of the $k$-th record values with random indices, Brandenburgische Technische Universität Cottbus, Fakultät für Mathematik, Naturwissenschaften und Informatik, Reihe Mathematik, M-05/1997 (1997). 
4. [4] Z. Grudzień and D. Szynal, Characterizations of continuous distributions via moments of record values, J. Appl. Statist. Sci. 9 (2000), 93-104. 
5. [5] G. D. Lin, Characterizations of continuous distributions via expected values of two functions of order statistics, Sankhyā Ser. A 52 (1990), 84-90. Zbl0717.62010
6. [6] K. Morris and D. Szynal, A goodness-of-fit test for the uniform distribution based on a characterization, in: XX Internat. Sympos. on Stability Problems for Stochastic Models (Lublin-Nałęczów, 1999), Abstracts, p. 119, submitted to J. Math. Sci. Zbl1104.62317
7. [7] P. Pawlas and D. Szynal, Relations for single and product moments of $k$-th record values from exponential and Gumbel distributions, J. Appl. Statist. Sci. 7 (1998), 53-62. Zbl0901.62023
8. [8] P. Pawlas and D. Szynal, Recurrence relations for single and product moments of $k$-th record values from Weibull distributions, and a characterization, ibid. 10 (2000), 17-26. Zbl0961.62009
9. [9] Y. H. Too and G. D. Lin, Characterizations of uniform and exponential distributions, Statist. Probab. Lett. 7 (1989), 357-359. Zbl0666.62010
10. [10] S. S. Wilks, Mathematical Statistics, Wiley, New York, 1962. Zbl0173.45805