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Strong limit theore...
Strong limit theorems for sums of logarithms of high order spacings
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- Ekström, Magnus, 1966- (författare)
- Umeå universitet,Matematisk statistik
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(creator_code:org_t)
- Gordon and Breach Publishers, 1999
- 1999
- Engelska.
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Ingår i: Statistics (Berlin). - : Gordon and Breach Publishers. - 0233-1888 .- 1029-4910. ; 33:2, s. 153-169
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Several strong limit theorems are proved for sums of logarithms of mth order spacings from general distributions. In all given results, the order mof the spacings is allowed to increase to infinity with the sample size. These results provide a nonparametric strongly consistent estimator of entropy as well as a characterization of the uniform distribution on [0,1]. Furthermore, it is shown that Cressie's (1976) goodness of fit test is strongly consistent against all continuous alternatives.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- spacings
- strong limit theorems
- entropy estimation
- uniform distribution
- goodness of fit
- Statistics
- statistik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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