Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The paper is concerned with the asymptotic normality of a certain statistic based on the logarithms of disjoint m-spacings. The exact and asymptotic mean and variance are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1].
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
405-416
Opis fizyczny
Daty
wydano
1996
otrzymano
1995-01-24
Twórcy
autor
- Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Bibliografia
- N. Cressie (1976), On the logarithms of high-order spacings, Biometrika 63, 343-355.
- F. Czekała (1993), Asymptotic distributions of statistics based on logarithms of spacings, Zastos. Mat. 21, 511-519.
- G. E. Del Pino (1979) On the asymptotic distribution of k-spacings with applications to goodness of fit tests, Ann. Statist. 7, 1058-1065.
- J. R. Gebert and B. K. Kale (1969), Goodness of fit tests based on discriminatory information, Statist. Hefte 3, 192-200.
- S. R. Jammalamadaka and R. C. Tiwari (1986), Efficiencies of some disjoint spacings tests relative to a $χ^2$ test, in: M. L. Puri, J. Vilaplana and W. Wertz (eds.) New Perspectives in Theoretical and Applied Statistics, Wiley, New York, 311-318.
- B. K. Kale (1969), Unified derivation of tests of goodness of fit based on spacings, Sankhyā Ser. A 31, 43-48.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-zmv23i4p405bwm