Evaluating improvements of records
Rychlik, Tomasz
Applicationes Mathematicae, Tome 24 (1997), p. 315-324 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:219173
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     author = {Tomasz Rychlik},
     title = {Evaluating improvements of records},
     journal = {Applicationes Mathematicae},
     volume = {24},
     year = {1997},
     pages = {315-324},
     zbl = {0883.62019},
     language = {en},
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Rychlik, Tomasz. Evaluating improvements of records. Applicationes Mathematicae, Tome 24 (1997) pp. 315-324. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv24i3p315bwm/

[000] [1] M. Ahsanullah, Linear predictions of record values for two parameter exponential distribution, Ann. Inst. Statist. Math. 32 (1980), 363-368.

[001] [2] A. V. Balakrishnan, Applied Functional Analysis, 2nd ed., Springer, New York, 1981. | Zbl 0459.46014

[002] [3] I. R. Dunsmore, The future occurrence of records, Ann. Inst. Statist. Math. 35 (1983), Part A, 267-277. | Zbl 0522.62027

[003] [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. | Zbl 0863.62045

[004] [5] S. Moriguti, A modification of Schwarz's inequality with applications to distributions, Ann. Math. Statist. 24 (1953), 107-113. | Zbl 0050.35301

[005] [6] H. N. Nagaraja, On the expected values of record values, Austral. J. Statist. 20 (1978), 176-182. | Zbl 0407.62025

[006] [7] V. B. Nevzorov, Records, Teor. Veroyatnost. i Primenen. 32 (1987), 219-251 (in Russian).

[007] [8] W. R. van Zwet, Convex Transformations of Random Variables, Mathematisch Centrum, Amsterdam, 1964. | Zbl 0125.37102