Renewal Processes and Integral Equations

Halil Aydoğdu; Cemal Atakan

Yenileme Süreçleri ve İntegral Denklemler

Year 2002, Volume: 1 Issue: 20, 91 - 98, 01.06.2002

Abstract

Bu çalışmada, çözüm fonksiyonu bir yenileme sürecinin ortalama değer fonksiyonuna bağlı olan integral denklemleri üzerinde durulmaktadır. Bir yenileme sürecinin varyans fonksiyonu için bir integral denklem elde edilir. Bu integral denklem yardımıyla tanımlanan fonksiyonlar dizisinin varyans fonksiyonuna monoton yakınsamasına bağlı olarak varyans fonksiyonu için bazı sınır fonksiyonları verilir.

Keywords

Yenileme süreci , yenileme fonksiyonu , varyans fonksiyonu , yenileme denklemi

Renewal Processes and Integral Equations

Year 2002, Volume: 1 Issue: 20, 91 - 98, 01.06.2002

Halil Aydoğdu Cemal Atakan

Abstract

In this study, integral equations are considered such that their solution functions are dependent on the mean value function of a renewal process. Then, an integral equation is given for the variance function of the process. Depending on the monotone convergence of the obtained sequence of the functions with the help of this integral equation, some bounds are found for the variance function of the process.

Keywords

Renewal process , renewal function , variance function , renewal equation

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Details

Other ID	JA58SY58KH
Authors	Halil Aydoğdu This is me Cemal Atakan This is me
Submission Date	June 1, 2002
Publication Date	June 1, 2002
Published in Issue	Year 2002 Volume: 1 Issue: 20

Cite

APA	Aydoğdu, H., & Atakan, C. (2002). Renewal Processes and Integral Equations. Selcuk University Journal of Science Faculty, 1(20), 91-98.
AMA	Aydoğdu H, Atakan C. Renewal Processes and Integral Equations. Selcuk University Journal of Science Faculty. June 2002;1(20):91-98.
Chicago	Aydoğdu, Halil, and Cemal Atakan. “Renewal Processes and Integral Equations”. Selcuk University Journal of Science Faculty 1, no. 20 (June 2002): 91-98.
EndNote	Aydoğdu H, Atakan C (June 1, 2002) Renewal Processes and Integral Equations. Selcuk University Journal of Science Faculty 1 20 91–98.
IEEE	H. Aydoğdu and C. Atakan, “Renewal Processes and Integral Equations”, Selcuk University Journal of Science Faculty, vol. 1, no. 20, pp. 91–98, 2002.
ISNAD	Aydoğdu, Halil - Atakan, Cemal. “Renewal Processes and Integral Equations”. Selcuk University Journal of Science Faculty 1/20 (June2002), 91-98.
JAMA	Aydoğdu H, Atakan C. Renewal Processes and Integral Equations. Selcuk University Journal of Science Faculty. 2002;1:91–98.
MLA	Aydoğdu, Halil and Cemal Atakan. “Renewal Processes and Integral Equations”. Selcuk University Journal of Science Faculty, vol. 1, no. 20, 2002, pp. 91-98.
Vancouver	Aydoğdu H, Atakan C. Renewal Processes and Integral Equations. Selcuk University Journal of Science Faculty. 2002;1(20):91-8.

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Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Hüseyin YILMAZ
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
When the Faculty of Letters and Sciences was separated into the Faculty of Science and the Faculty of Letters with the decision of the Council of Ministers numbered 2008/4344 published in the Official Gazette dated 3 December 2008 and numbered 27073, it has been published as "Selcuk University Journal of Science Faculty" between 2009-2025.
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