Stepanov, Alexei

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Profile URL
https://hdl.handle.net/20.500.14365/7218
Name Variants
Stepanov, A.
Stepanov, Alexei
Stepanov, Alexei V.
Stepanov, A. V.
Job Title
Email Address
alexei.stepanov@ieu.edu.tr
Main Affiliation
02.02. Mathematics
Status
Former Staff
Website
ORCID ID
0000-0001-7998-4898
Scopus Author ID
56924498000
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Google Scholar ID
WoS Researcher ID
J-4355-2018

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65

Citations

433

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11

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18

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184

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Scholarly Output

13

Articles

13

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0

Supervised PhD Theses

0

WoS Citation Count

86

Scopus Citation Count

85

WoS h-index

6

Scopus h-index

6

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0

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0

WoS Citations per Publication

6.62

Scopus Citations per Publication

6.54

Open Access Source

2

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0

JournalCount
Statıstıcs & Probabılıty Letters3
Methodology And Computıng in Applıed Probabılıty2
Metrıka2
Statıstıcal Papers1
Statıstıcs1
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  • Thumbnail Image
    Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Limit Theorems for the Spacings of Weak Records
    (Springer Heidelberg, 2012) Hashorva, Enkelejd; Stepanov, Alexei
    Let W(1), W(2), . . . be weak record values obtained from a sample of independent variables with common discrete distribution. In the present paper, we derive weak and strong limit theorems for the spacings W(n + m) - W(n), m a parts per thousand yen 1, n -> a.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Runs Based on Records: Their Distributional Properties and an Application To Testing for Dispersive Ordering
    (Springer, 2013) Balakrishnan, Narayanaswamy; Stepanov, Alexei
    Here, we study runs associated with record values. After we first discuss the distributions and moments of runs, we develop the asymptotic theory of these runs. Finally, we apply the concept of runs obtained from record values to a hypothesis testing problem.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 2
    Runs Based on the Ratios of Consecutive Order Statistics
    (Taylor & Francis Inc, 2011) Stepanov, A.
    In the present article, we study runs based on the ratios of consecutive order statistics obtained from samples with continuous distributions. We derive limit results for such runs and discuss statistical applications.
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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: 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.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Number of Observations Near the Maximum in an F-Alpha
    (Taylor & Francis Ltd, 2013) Bairamov, I.; Stepanov, A.
    Let K n (a) be the number of observations in the interval (M n ,-a, M n ), where M n is the maximum value in a sequence of size n. We study the asymptotic properties of K n (a) under the F a-scheme and discuss the influence of the associated sequence a n on the limit behaviour of this random variable.
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    Article
    Citation - WoS: 20
    Citation - Scopus: 22
    Numbers of Near Bivariate Record-Concomitant Observations
    (Elsevier Inc, 2011) Bairamov, I.; Stepanov, A.
    Let (Z) over bar (1) = (X(1), Y(1)), (Z) over bar (2) = (X(2), Y(2)), ... be independent and identically distributed random vectors with continuous distribution. Let L(n) and X (n) denote the nth record time and the nth record value obtained from the sequence of Xs. Let Y(n) denote the concomitant of the nth record value, which relates to the sequence of Ys. We call (Z) over bar (i) a near bivariate nth record-concomitant observation if (Z) over bar (i) belongs to the open rectangle (X (n) - a, X (n)) x (Y(n) - b(1), Y(n) b(2)), where a, b(1), b(2) > 0 and L(n) < i < L(n + 1). Asymptotic properties of the numbers of near bivariate record-concomitant observations are discussed in the present work. New techniques for generating bivariate record-concomitants, the numbers of near record observations and the numbers of near bivariate record-concomitant observations are also proposed. (c) 2011 Elsevier Inc. All rights reserved.
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    Article
    Asymptotic Properties of Mth Spacings Based on Records
    (Elsevier B.V., 2024) Bayramoglu, I.; Stepanov, A.
    In this work, the mth spacings based on record values obtained from continuous distributions are discussed. We first present distributional results for such spacings, and then, by making use of classification of distribution tails, derive asymptotic results for the mth record spacings. We also obtain strong limit results for them and illustrate our theoretical results by examples. Finally, we support our findings by data obtained from simulation experiments. © 2024
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    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    A Note on Large Deviations for Weak Records
    (Elsevier Science Bv, 2006) Bairamov, Ismihan; Stepanov, Alexei
    Let X-w(n) be weak record values derived from samples consisting of independent identically distributed discrete random variables. A limit theorem for large deviations for X-w(n) is proposed in the present paper. (C) 2006 Elsevier B.V. All rights reserved.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Numbers of Near-Maxima for the Bivariate Case
    (Elsevier, 2010) Bairamov, I.; Stepanov, A.
    Let (Z) over bar (1) = (X-1, Y-1)....(Z) over bar (n) = (X-n, Y-n) be independent and identically distributed random vectors with continuous distribution. Let K-n(a, b(1), b(2)) be the number of sample elements that belong to the open rectangle (X-max((n)) - a, X-max((n))) x (Y-max((n)) - b(1), Y-max((n)) + b(2)) - numbers of near-maxima in the bivariate case. in the present paper, we discuss asymptotic properties of K-n (a, b(1), b(2)) and K-n(infinity, 0, infinity). (C) 2009 Elsevier B.V. All rights reserved.