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Journals / İstatistik Araştırma Dergisi / 2004 / Cilt: 3 Sayı: 1

A New Characterizations of Weibull Distribution Via Random Contractions

Rasgele Sıkıştırma Yoluyla Weibull Dağılımının Yeni Bir Karakterizasyonu

Sevgi YURT ÖNCEL
Fazıl ALİEV ALİOĞLU
Funda AYGÜN
Pages
1–7
Publication Date
2004-04-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This reccurrence relations leads to new characterizations of Weibull distributions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we investigate a random contraction scheme proposed by Wesolowski and Ahsanullah (2003).
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Key Findings & Data:The distributional recurrence relations found for the distribution functions of record statistics.
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Conclusion & Impact:This reccurrence relations leads to new characterizations of Weibull distributions.
🔬Design:Research Article
📍Scope:2003 Verileri
⚙️Variables:Rekor Değer · Rasgele Sıkıştırma · Karakterizasyon

Abstract

In this paper we investigate a random contraction scheme proposed by Wesolowski and Ahsanullah (2003). The distributional recurrence relations found for the distribution functions of record statistics. This reccurrence relations leads to new characterizations of Weibull distributions.

Özet

Bu çalışmada Wesolowski ve Ahsanullah (2003) tarafından öne sürülen rasgele sıkıştırma tekniği ele alınmıştır. Rekor değerlerin dağılım fonksiyonu için yeni bir ardışık ilişki bulunmuş ve bu ilişki yardımıyla Weibull dağılımı için yeni bir karakterizasyon verilmiştir.

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Cite This Article

ÖNCEL, S. Y., ALİOĞLU, F. A., AYGÜN, F. (2004). A New Characterizations of Weibull Distribution Via Random Contractions. İstatistik Araştırma Dergisi, Cilt: 3 Sayı: 1, 1–7. https://ajindex.com/articles/938868

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References (5)

  1. AHSANULLAH, M. (1995),
  2. Record Statistics, Nova Science Publishers Inc. Commack, NY. CHANDLER, K.N. (1952), the distribution and frequency of record values, J.Roy. Statist. Soc. Series B, 14, 220-228.
  3. CHANDLER, K.N. (1952), The Distribution and Frequency of Record Values, J.Roy. Statist. Soc. Series B, 14, 220-228.
  4. ARNOLD. B.C. BALAKRISHNAN, N. and NAGARAJA, H.N., (1998),
  5. Records, John Wi1ey&Sons. New York. BALAKRISHNAN, N. and RAO, C.R. (1998), Handbook of Statistics,16. NEVZOROV, V.B. (2001), Records: Mathematical Theory. Translations of Mathematical Monographs 194. American Mathematical Society Providence. WESOLOWSKI, J. and AHSANULLAH, M. (2003), Switching Order Statistics Through Random Power Contractious, Australian and New Zealand Journal of Statistics, in Pres.