Summary
We answer the question: To what extent is the distribution function determined by a sequence of expected values of spacings? We examine spacings of the type Xk+1,n− Xk,n and Xk+1,n− Xk−1,n.
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References
Blom, G. (1958). Statistical estimates and transformed beta-variables. Wiley, New York.
Huang, J. S. (1972). Characterization of distributions by the expected values of the order statistics. To appear in Ann. Inst. Statist. Math. ( Tokyo).
Pollak, M. (1973). Ann. Statist. 1, 180–181.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Govindarajulu, Z., Huang, J.S., Saleh, E. (1975). Expected Value of the Spacings between Order Statistics. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1848-7_12
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DOI: https://doi.org/10.1007/978-94-010-1848-7_12
Publisher Name: Springer, Dordrecht
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