Eryilmaz, Serkan

Profile Picture
Profile URL
https://hdl.handle.net/20.500.14365/7195
Name Variants
Eryılmaz, S.
Erylmaz, Serkan
Eryılmaz, Serkan
Eryilmaz, Serkan
Job Title
Email Address
serkan.eryilmaz@ieu.edu.tr
Main Affiliation
02.02. Mathematics
Status
Former Staff
Website
ORCID ID
0000-0002-2108-1781
Scopus Author ID
8203625300
Turkish CoHE Profile ID
5EADF1BA3F6B5720
Google Scholar ID
WoS Researcher ID
IUI-0987-2023

Sustainable Development Goals

SDG data is not available
Documents

219

Citations

4671

h-index

39

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Documents

0

Citations

0

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Scholarly Output

60

Articles

53

Views / Downloads

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

JournalCount
Ieee Transactıons on Relıabılıty7
Statıstıcs & Probabılıty Letters5
Communıcatıons in Statıstıcs-Sımulatıon And Computatıon5
Journal of Computatıonal And Applıed Mathematıcs5
Journal of Applıed Probabılıty3
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Scholarly Output Search Results

Now showing 1 - 10 of 59
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    Article
    Citation - WoS: 21
    Citation - Scopus: 22
    On the Distribution and Expectation of Success Runs in Nonhomogeneous Markov Dependent Trials
    (Springer, 2005) Eryılmaz, Serkan
    The 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.
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    Article
    Citation - WoS: 39
    Citation - Scopus: 39
    Spacings, Exceedances and Concomitants in Progressive Type Ii Censoring Scheme
    (Elsevier, 2006) Bairamov, I; Eryılmaz, Serkan
    Distributional properties of spacings and exceedances based on progressive type II censored order statistics are investigated. Recurrence relations between moments of concomitants for the model of progressive type II censoring are given. We unify and extend some results on spacings, exceedances and concomitants for the model of progressive censoring. (c) 2004 Elsevier B.V. All rights reserved.
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    Article
    Citation - WoS: 9
    Citation - Scopus: 8
    Runs in an Ordered Sequence of Random Variables
    (Springer Heidelberg, 2008) Eryılmaz, Serkan; Stepanov, Alexei
    Let X(1),..., X(n) be independent and identically distributed random variables with continuous distribution function. Denote by X(1:n) <= ... <= X(n:n) the corresponding order statistics. In the present paper, the concept of epsilon-neighbourhood runs, which is an extension of the usual run concept to the continuous case, is developed for the sequence of ordered random variables X(1:n) <= ... <= X(n:n).
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    Article
    Citation - WoS: 10
    Citation - Scopus: 8
    Joint Behaviour of Precedences and Exceedances in Random Threshold Models
    (Blackwell Publishing, 2008) Bairamov, Ismihan; Eryilmaz, Serkan
    This paper concerns the joint behaviour of precedence and exceedance statistics in random threshold models. Joint distributions of precedence and exceedance statistics, both exact and asymptotic, are obtained, and the results are illustrated for random thresholds based on order statistics and record values.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Dynamic Reliability and Performance Evaluation of Multi-State Systems With Two Components
    (Hacettepe Univ, Fac Sci, 2011) Eryılmaz, Serkan
    In this paper we study multi-state systems consisting of two components when the number of system states and the number of states of each component are the same, i.e. the systems under consideration are homogeneous multi-state systems. In particular we evaluate multi-state series and cold standby systems assuming that the degradation in their components follow a Markov process. The behaviour of systems with respect to degradation rates is also investigated in terms of stochastic ordering.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 23
    On the Lifetime Distribution of Consecutive K-Out F System
    (IEEE-Inst Electrical Electronics Engineers Inc, 2007) Eryılmaz, Serkan
    A consecutive k-out-of-n : F system is a system of n components which fails iff k consecutive components fail. In this paper, we consider the lifetime of consecutive k-out-of-n : F systems and provide some stochastic ordering results. It is shown that the usual stochastic ordering is preserved under the formation of consecutive k-out-of-n : F systems of s-independent, nonidentical, and exchangeable components. A counter example is also given to show that the mean residual life ordering is not, in general, preserved by a consecutive k-out-of-n : F system.
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    Article
    Citation - WoS: 11
    Citation - Scopus: 11
    On a New Sample Rank of an Order Statistics and Its Concomitant
    (Elsevier Science Bv, 2003) Eryılmaz, Serkan; Bairamov, IG
    The marginal and joint distributions of the new sample rank of an order statistic and its concomitant are derived. (C) 2003 Elsevier Science B.V. All rights reserved.
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    Article
    Citation - WoS: 37
    Citation - Scopus: 37
    Mean Residual and Mean Past Lifetime of Multi-State Systems With Identical Components
    (IEEE-Inst Electrical Electronics Engineers Inc, 2010) Eryılmaz, Serkan
    Mean 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.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 24
    Optimization Problems for a Parallel System With Multiple Types of Dependent Components
    (Elsevier Sci Ltd, 2020) Eryılmaz, Serkan; Ozkut, Murat
    This paper is concerned with two optimization problems for a parallel system that consists of dependent components. First, the problem of finding the number of elements in the system that minimizes the mean cost rate of the system is considered. The second problem is concerned with the optimal replacement time of the system. Previous work assumes that the components are independent. We discuss the impact of dropping this assumption. In particular, we numerically examine how the dependence between the components affects the optimal number of units and replacement time for the system which minimize mean cost rates. We first consider the case when the components are exchangeable and dependent, i.e. the system consists of single type of dependent components. Subsequently, we consider a system that consists of multiple types of dependent components. Comparative numerical results are presented for particularly chosen dependence models.
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    Article
    Citation - WoS: 56
    Citation - Scopus: 58
    Reliability Analysis Under Marshall-Olkin Run Shock Model
    (Elsevier, 2019) Ozkut, Murat; Eryılmaz, Serkan
    In 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.