Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We evaluate the extreme differences between the consecutive expected record values appearing in an arbitrary i.i.d. sample in the standard deviation units. We also discuss the relevant estimates for parent distributions coming from restricted families and other scale units.
Czasopismo
Rocznik
Tom
Numer
Strony
315-324
Opis fizyczny
Daty
wydano
1997
otrzymano
1996-05-16
Twórcy
autor
- Institute of Mathematics, Polish Academy of Sciences, ul. Chopina 12/18, 87-100 Toruń, Poland
Bibliografia
- [1] M. Ahsanullah, Linear predictions of record values for two parameter exponential distribution, Ann. Inst. Statist. Math. 32 (1980), 363-368.
- [2] A. V. Balakrishnan, Applied Functional Analysis, 2nd ed., Springer, New York, 1981.
- [3] I. R. Dunsmore, The future occurrence of records, Ann. Inst. Statist. Math. 35 (1983), Part A, 267-277.
- [4] L. Gajek and T. Rychlik, Projection method for moment bounds on order statistics from restricted families. I. Dependent case, J. Multivariate Anal. 57 (1996), 156-174.
- [5] S. Moriguti, A modification of Schwarz's inequality with applications to distributions, Ann. Math. Statist. 24 (1953), 107-113.
- [6] H. N. Nagaraja, On the expected values of record values, Austral. J. Statist. 20 (1978), 176-182.
- [7] V. B. Nevzorov, Records, Teor. Veroyatnost. i Primenen. 32 (1987), 219-251 (in Russian).
- [8] W. R. van Zwet, Convex Transformations of Random Variables, Mathematisch Centrum, Amsterdam, 1964.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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