Research Article

On Distributional Properties of Record Ranges and Record Range Times

Volume: 21 Number: 3 October 13, 2017

On Distributional Properties of Record Ranges and Record Range Times

Abstract

In this paper, some distributional results concerning the number of record ranges in the first  independent and identically distributed (iid) continuous random observations are obtained. The probability of changing the th record range by a new observation is also given. Furthermore, we introduce the times of record ranges and derive their joint probability mass function. One of the main results found in this paper is that record range times have finite expected values although usual record times have infinite expected values.

Keywords

References

  1. [1] Chandler, K.N., 1952. The distribution and frequency of record values. Journal of the Royal Statistical Society, Series B, 14, 220-228.
  2. [2] Foster, F.G. and Stuart, A., 1954. Distribution-free tests in time-series based on the breaking of records (with discussions). Journal of the Royal Statistical Society, Series B., 16, 2-22.
  3. [3] Shorrock, R.W., 1972. On record values and record times. Journal of Applied Probability, 9, 316-326.
  4. [4] Resnick, S.I., 1973. Record values and Maxima. The Annals of Probability, 1(4), 650-662.
  5. [5] Galambos, J., 1978. The Asymptotic Theory of Extreme Order Statistics. John Wiley, New York.
  6. [6] Glick, N., 1978. Breaking records and breaking boards. American Mathematical Monthly, 85, 2-26.
  7. [7] Dunsmore, I.R., 1983. The future occurence of records. Annals of the Institude of Statistical Mathematics, 35, 267-277.
  8. [8] Nagaraja, H.N., 1988. Record Values and Related Statistics. A review, Communication in Statistics, Theory and Methods, 17, 2223-2238.

Details

Primary Language

Turkish

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 13, 2017

Submission Date

March 10, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 21 Number: 3

APA
Kozan, A., & Tanıl, H. (2017). On Distributional Properties of Record Ranges and Record Range Times. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(3), 843-846. https://doi.org/10.19113/sdufbed.18244
AMA
1.Kozan A, Tanıl H. On Distributional Properties of Record Ranges and Record Range Times. J. Nat. Appl. Sci. 2017;21(3):843-846. doi:10.19113/sdufbed.18244
Chicago
Kozan, Agah, and Halil Tanıl. 2017. “On Distributional Properties of Record Ranges and Record Range Times”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (3): 843-46. https://doi.org/10.19113/sdufbed.18244.
EndNote
Kozan A, Tanıl H (December 1, 2017) On Distributional Properties of Record Ranges and Record Range Times. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 3 843–846.
IEEE
[1]A. Kozan and H. Tanıl, “On Distributional Properties of Record Ranges and Record Range Times”, J. Nat. Appl. Sci., vol. 21, no. 3, pp. 843–846, Dec. 2017, doi: 10.19113/sdufbed.18244.
ISNAD
Kozan, Agah - Tanıl, Halil. “On Distributional Properties of Record Ranges and Record Range Times”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/3 (December 1, 2017): 843-846. https://doi.org/10.19113/sdufbed.18244.
JAMA
1.Kozan A, Tanıl H. On Distributional Properties of Record Ranges and Record Range Times. J. Nat. Appl. Sci. 2017;21:843–846.
MLA
Kozan, Agah, and Halil Tanıl. “On Distributional Properties of Record Ranges and Record Range Times”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 21, no. 3, Dec. 2017, pp. 843-6, doi:10.19113/sdufbed.18244.
Vancouver
1.Agah Kozan, Halil Tanıl. On Distributional Properties of Record Ranges and Record Range Times. J. Nat. Appl. Sci. 2017 Dec. 1;21(3):843-6. doi:10.19113/sdufbed.18244

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

All published articles in the journal can be accessed free of charge and are open access under the Creative Commons CC BY-NC (Attribution-NonCommercial) license. All authors and other journal users are deemed to have accepted this situation. Click here to access detailed information about the CC BY-NC license.