Araştırma Makalesi

On Distributional Properties of Record Ranges and Record Range Times

Cilt: 21 Sayı: 3 13 Ekim 2017
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On Distributional Properties of Record Ranges and Record Range Times

Öz

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.

Anahtar Kelimeler

Kaynakça

  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.

Ayrıntılar

Birincil Dil

Türkçe

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

13 Ekim 2017

Gönderilme Tarihi

10 Mart 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 21 Sayı: 3

Kaynak Göster

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. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21(3):843-846. doi:10.19113/sdufbed.18244
Chicago
Kozan, Agah, ve 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 (01 Aralık 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 ve H. Tanıl, “On Distributional Properties of Record Ranges and Record Range Times”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 21, sy 3, ss. 843–846, Ara. 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 (01 Aralık 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. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21:843–846.
MLA
Kozan, Agah, ve Halil Tanıl. “On Distributional Properties of Record Ranges and Record Range Times”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 3, Aralık 2017, ss. 843-6, doi:10.19113/sdufbed.18244.
Vancouver
1.Agah Kozan, Halil Tanıl. On Distributional Properties of Record Ranges and Record Range Times. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Aralık 2017;21(3):843-6. doi:10.19113/sdufbed.18244

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

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