Bayramoğlu, İsmihan

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Profile URL
https://hdl.handle.net/20.500.14365/7704
Name Variants
Bayramoglu (Bairamov), I.
Ismihan Bayramoglu (Bairamov)
Ismihan Bayramoglu
Ismihan Bairamov
Bayramoglu Ismihan
Bayramoğlu, İ.
Bayramoglu I.
Bayramoglu (Bairamov), Ismihan
Bairamov, Ismihan
Bairamov Ismihan
BAIRAMOV, IG
Bairamov, IG
Bairamov, I. G.
Bairamov, I
Bairamov I.
Job Title
Email Address
ismihan.bayramoglu@ieu.edu.tr
ibayramov@gmail.com
Main Affiliation
02.02. Mathematics
Status
Current Staff
Website
ORCID ID
0000-0002-8575-8405
Scopus Author ID
6602484525
Turkish CoHE Profile ID
4ADB9B4B1BC6068D
Google Scholar ID
hYlaue0AAAAJ
WoS Researcher ID
E-7721-2018
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Ismihan_Bayramoglu.png (73.78 KB)

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JournalCount
Journal of Computatıonal And Applıed Mathematıcs11
Statıstıcs & Probabılıty Letters8
Communıcatıons in Statıstıcs-Theory And Methods8
Journal of Multıvarıate Analysıs4
Statıstıcs3
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  • Thumbnail Image
    Doctoral Thesis
    Marshall-Olkin Type Shock Models and Their Applications
    (İzmir Ekonomi Üniversitesi, 2015) Özkut, Cemal Murat; Bayramoğlu, İsmihan
    Klasik Marshall-Olkin tipi şok modelleri ve bu modellerin modifikasyonlarında, iki ya da daha fazla bileşen içeren sistem farklı kaynaklar tarafından rastgele zamanlarda üretilen şoklara maruz kalır ve sistemin ilgili bileşenleri yok olur. Marshall-Olkin tipi şok modellerinden farklı olarak, üretilen şokun şiddetinin önceden belirlenen eşik değerden yüksek olduğu taktirde ilgili bileşenin imha edileceğini aksi takdirde bileşenin çalışmaya devam edeceğini varsaydık. Daha iyi anlatmak gerekirse, şok zamanı ve şiddetinin bağımlı iki değişkenli dağılıma sahip olduğunu varsaydık. Şokların şiddetlerinin dikkate alınması gerekliliği yaklaşımı bize şok modellerin gerçek yaşam uygulamalarında ortaya çıkan gereksinimleri karşılamamıza izin veriyor. Bu tez çalışmasında, şok zamanı ve şok şiddetinin ortak dağılımını içeren yeni iki değişkenli dağılım sınıfı elde edildi. Yeni iki değişkenli dağılımın bağımlılık özellikleri çalışıldı. Bileşenlerin yaşam süreleri ve şok zamanlarının ikili dağılımlarının verildiği farklı örnekler için, bileşenlerin yaşam sürelerinin ortak dağılımları incelendi. Ayrıca önerilen modelin genişletilmiş çok değişkenli modeli ayrıca tartışıldı. Önerilen modelin tekil dağılım fonksiyonu ve tamamıyla sürekli fonksiyonun kombinasyonu şeklinde olması ortak dağılımın bilinmeyen parametrelerinin en çok olabilirlik tahmin edicilerini bulmayı zorlaştırmaktadır. Bu yüzden, beklenti maximizasyonu algoritması kullanarak önerilen ikili ve çoklu modellerin veri setlerini inceledik. Ayrıca, önerilen ikili ve çoklu modellerin bilinmeyen parametrelerinin asimptotik güven aralıkları oluşturuldu.
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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: 17
    Citation - Scopus: 19
    From the Huang-Kotz Fgm Distribution To Baker's Bivariate Distribution
    (Elsevier Inc, 2013) Bairamov, I; Bayramoglu, K.
    Huang and Kotz (1999) [17] considered a modification of the Farlie-Gumbel-Morgenstern (FGM) distribution, introducing additional parameters, and paved the way for many research papers on modifications of FGM distributions allowing high correlation. The first part of the present paper is a review of recent developments on bivariate Huang-Kotz FGM distributions and their extensions. In the second part a class of new bivariate distributions based on Baker's system of bivariate distributions is considered. It is shown that for a model of a given order, this class of distributions with fixed marginals which are based on pairs of order statistics constructed from the bivariate sample observations of dependent random variables allows higher correlation than Baker's system. It also follows that under certain conditions determined by Lin and Huang (2010) [21], the correlation for these systems converges to the maximum Frechet-Hoeffding upper bound as the sample size tends to infinity. (C) 2011 Elsevier Inc. All rights reserved.
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    Editorial
    Citation - Scopus: 1
    Congressional Contributions To Computational and Applied Mathematics Preface
    (Elsevier Science Bv, 2011) Goovaerts, Marc J.; Gebizlioglu, Omer L.; Bayramoglu Ismihan; Akyildiz, Ersan
    [Abstract Not Available]
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    Article
    On Some Models of Ordered Random Variables and Characterizations of Distributions
    (Pleiades Publishing Inc, 2020) Tavangar, Mahdi; Bayramoğlu, İsmihan
    The concept of extended neighboring order statistics introduced in Asadi et al. (2001) is a general model containing models of ordered random variables that are included in the generalized order statistics. This model also includes several models of ordered random variables that are not included in the generalized order statistics and is a helpful tool in unifying characterization results from several models of ordered random variables. In this paper, some general classes of distributions with many applications in reliability analysis and engineering, such as negative exponential, inverse exponential, Pareto, negative Pareto, inverse Pareto, power function, negative power, beta of the first kind, rectangular, Cauchy, Raleigh, Lomax, etc., have been characterized by using the regression of extended neighboring order statistics and decreasingly ordered random variables.
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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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    Master Thesis
    Residual Lifelengths of Censored Data
    (İzmir Ekonomi Üniversitesi, 2010) Franko, Ceki; Bayramoğlu, İsmihan
    Geriye kalan elemanların kalan yaşam uzunlukları güvenilirlik analizinde,aktüerya biliminde ve sağ kalan analizinde büyük önem teşkil etmektedir. Butezde farklı sansürleme şemaları altında geriye kalan elemanların kalan yaşamuzunlukları araştırıldı. Dağılım özellikleri, ortalama geriye kalan yaşamlar vekarakterizasyonlarla ilgili bazı ilginç sonuçlar elde edildi.
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    Book Part
    Order Statistics [2009]
    (Elsevier, 2009) Bairamov I.
    The test scores of students in an exam are usually ordered by the lecturer in order to overview the exam results and to evaluate the class performance. Since the exam results are not completely predictable, we admit the assumption that the test scores of students are independent and identically distributed random variables. In this case the ordered scores actually represent the realizations of the order statistics, namely ordered values of independent and identically distributed random variables. These ordered random variables play an important role in statistical theory and its applications. This article is an attempt to describe some basic notions of the theory of order statistics, their properties and applications in estimation theory and hypothesis testing. We also discuss the role of order statistics in educational statistics and provide an example of an application, the drawing up of a shortlist for the selection of students from different schools for scholarship on the basis of the ordered test scores. © 2010 Elsevier Ltd. All rights reserved.
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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: 14
    Citation - Scopus: 15
    Limit Results for Ordered Uniform Spacings
    (Springer, 2010) Bairamov, Ismihan; Berred, Alexandre; Stepanov, Alexei
    Let Delta (k:n) = X (k,n) - X (k-1,n) (k = 1, 2, . . . , n + 1) be the spacings based on uniform order statistics, provided X (0,n) = 0 and X (n+1,n) = 1. Obtained from uniform spacings, ordered uniform spacings 0 = Delta(0,n) < Delta(1,n) < . . . < Delta (n+1,n) , are discussed in the present paper. Distributional and limit results for them are in the focus of our attention.