Eryilmaz, Serkan
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Eryılmaz, S.
Erylmaz, Serkan
Eryılmaz, Serkan
Eryilmaz, Serkan
Erylmaz, Serkan
Eryılmaz, Serkan
Eryilmaz, Serkan
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serkan.eryilmaz@ieu.edu.tr
Main Affiliation
02.02. Mathematics
Status
Former Staff
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Documents
219
Citations
4671
h-index
39
Documents
0
Citations
0
Scholarly Output
60
Articles
53
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0/0
Supervised MSc Theses
3
Supervised PhD Theses
2
WoS Citation Count
1334
Scopus Citation Count
1491
WoS h-index
21
Scopus h-index
23
Patents
0
Projects
0
WoS Citations per Publication
22.23
Scopus Citations per Publication
24.85
Open Access Source
15
Supervised Theses
5
| Journal | Count |
|---|---|
| Ieee Transactıons on Relıabılıty | 7 |
| Statıstıcs & Probabılıty Letters | 5 |
| Communıcatıons in Statıstıcs-Sımulatıon And Computatıon | 5 |
| Journal of Computatıonal And Applıed Mathematıcs | 5 |
| Journal of Applıed Probabılıty | 3 |
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Article Citation - WoS: 32Citation - Scopus: 37Conditional Lifetimes of Consecutive K-Out Systems(IEEE-Inst Electrical Electronics Engineers Inc, 2010) Eryılmaz, SerkanWe study the conditional lifetimes of consecutive k-out-of-systems. We provide explicit representations for the conditional survival functions of these systems when 2k >= n. The mean residual life functions are obtained, and ordering results are provided. A signature-based evaluation of residual lifetimes is also presented, and some stochastic comparison results are obtained for particular consecutive systems.Article Citation - Scopus: 2The Longest Run Statistic Associated With Exchangeable Binary Variables(2005) Eryilmaz S.Since the hydrologic risk is defined as a risk of exceedance of a critical level during a period, the number of the longest successive exceedances which is referred to as the longest run statistic shows the length of the longest hydrologic risk period. This paper is concerned with the longest run statistic associated with exceedances. In the derivation of a binary sequence, an independent sequence of random variables and a random threshold are considered. The elements of a binary sequence are assigned with respect to a random threshold. In such a consideration, the elements of the corresponding binary sequence are not independent, but are symmetrically dependent, i.e. exchangeable. The distribution of the longest run statistic is derived for the sequence of exchangeable binary variables and its hydrological use is discussed. © Tübi?tak.Article Citation - WoS: 17Citation - Scopus: 22Run Statistics Defined on the Multicolor Urn Model(Applied Probability Trust, 2008) Eryılmaz, SerkanRecently, Makri, Philippou and Psillakis (2007b) studied the exact distribution of success run statistics defined on an urn model. They derived the exact distributions of various success run statistics for a sequence of binary trials generated by the Polya-Eggenberger sampling scheme. In Our study we derive the joint distributions of run statistics defined on the multicolor urn model using a simple unified combinatorial approach and extend some of the results of Makri, Philippou and Psillakis (2007b). As a consequence of our results, we obtain the joint distributions of success and failure runs defined on the two-color urn model. The results enable us to compute the characteristics of particular consecutive-type systems and start-up demonstration tests.Article Citation - WoS: 33Citation - Scopus: 40Consecutive K-Within System With Exchangeable Components(John Wiley & Sons Inc, 2009) Eryılmaz, Serkan; Kan, Cihangir; Akici, FatihAs a generalization of k-out-of-n:F and consecutive k-out-of-n:F systems, the consecutive k-within-m-out-of-n:F system consists of n linearly ordered components Such that the system fails iff there are in consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k-within-m-out-of-n:F Systems with exchangeable components are studied. The bounds and approximations for the Survival function ire provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The result.,; are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution. (C) 2009 Wiley Periodicals, Inc. Naval Research Logistics 56: 503-510, 2009Article Citation - WoS: 56Citation - Scopus: 58Reliability Analysis Under Marshall-Olkin Run Shock Model(Elsevier, 2019) Ozkut, Murat; Eryılmaz, SerkanIn this paper, a new shock model called Marshall-Olkin run shock model is defined and studied. According to the model, two components are subject to shocks that may arrive from three different sources, and component i fails when it is subject to k consecutive critical shocks from source i or k consecutive critical shocks from source 3, i = 1, 2. Reliability and mean residual life functions of such components are studied when the times between shocks follow phase-type distribution. (C) 2018 Elsevier B.V. All rights reserved.Master Thesis Reliability Analysis of Consecutive-K Systems in a Stress-Strength Setup(İzmir Ekonomi Üniversitesi, 2010) Akıcı, Fatih; Eryılmaz, SerkanBu tez ardıl-k sistemlerin güvenilirliklerinin etki-dayanıklılık kurulumu altındaincelenmesi üzerinedir. Doğrusal ardıl n'den k'lı:F sistemin tam güvenilirlikifadesi, sistemin ilk c bileşeninin bir tip rastgele etkiye, kalan n-c bileşeninin birbaşka tip rastgele etkiye maruz kaldığı bir durum için ortaya konulmuştur. Ilgiligüvenilirliğin en çok olabilirlik ve en küçük varyanslı yansız tahmin edicileri deelde edilmiştir.Article Citation - WoS: 10Citation - Scopus: 12Distribution of Run Statistics in Partially Exchangeable Processes(Springer Heidelberg, 2011) Eryılmaz, Serkan; Yalcin, FeminLet {X-i}(i >= 1) be an infinite sequence of recurrent partially exchangeable binary random variables. We study the exact distributions of two run statistics ( total number of success runs and the longest success run) in {X-i}(i >= 1). Since a flexible class of models for binary sequences can be obtained using the concept of partial exchangeability, as a special case of our results one can obtain the distribution of runs in ordinary Markov chains, exchangeable and independent sequences. The results also enable us to study the distribution of runs in particular urn models.Article Citation - WoS: 3Citation - Scopus: 2Runs in Continuous-Valued Sequences(Elsevier Science Bv, 2008) Eryılmaz, Serkan; Fu, James C.This work presents sonic additional results to (2007. Extension of runs to the continuous-valued sequences, Statistics & Probability Letters, 77, 383-388) which extended the definition of runs into the continuous-valued sequences. (c) 2007 Elsevier B.V. All rights reserved.Article Citation - WoS: 37Citation - Scopus: 37Mean Residual and Mean Past Lifetime of Multi-State Systems With Identical Components(IEEE-Inst Electrical Electronics Engineers Inc, 2010) Eryılmaz, SerkanMean residual, and mean past lifetime functions are important reliability measures for evaluating systems' performance. These functions have been successfully used in binary state reliability analysis. This paper studies mean residual, and mean past lifetime concepts for multi-state systems. We evaluate mean residual, and mean past lifetime functions of one unit multi-state systems, and multi-state k-out-of-n:G systems under the assumption that the degradations in systems and components follow an acyclic Markov process which has a discrete state space.Article Citation - WoS: 21Citation - Scopus: 22On the Distribution and Expectation of Success Runs in Nonhomogeneous Markov Dependent Trials(Springer, 2005) Eryılmaz, SerkanThe number of success runs for nonhomogeneous markov dependent trials are represented as the sum of Bernoulli trials and the expected value of runs are obtained by using this representation. The distribution and bounds for the distribution of the longest run are derived for markov dependent trials.