• Title/Summary/Keyword: Random set

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APPROXIMATING RANDOM COMMON FIXED POINT OF RANDOM SET-VALUED STRONGLY PSEUDO-CONTRACTIVE MAPPINGS

  • LI JUN;HUANG NAN JING
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.329-341
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    • 2005
  • In this paper, we introduce new random iterative sequences with errors approximating a unique random common fixed point for three random set-valued strongly pseudo-contractive mappings and show the convergence of the random iterative sequences with errors by using an approximation method in real uniformly smooth separable Banach spaces. As applications, we study the existence of random solutions for some kind of random nonlinear operator equations group in separable Hilbert spaces.

Random Number Statistical Test Using fuzzy Set Operation

  • Sung-joo;Park, Jin-suk
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.41-45
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    • 2002
  • From the paper which it sees a strong random number generator it uses a fuzzy set from 16 method of the statistical test which is a cryptograph random number test it verifies. 16 statistical test of NIST extends in crptograph and engineering whole it is a scale which is important distinguishes the distinction incapable characterstic of the random numbers which are used. To try introduce a fuzzy set the possibility of having a more strong randomness in order to be, it strengthens the function of the random number generator.

A UNIFORM STRONG LAW OF LARGE NUMBERS FOR PARTIAL SUM PROCESSES OF FUZZY RANDOM SETS

  • Kwon, Joong-Sung;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.30 no.3_4
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    • pp.647-653
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    • 2012
  • In this paper, we consider fuzzy random sets as (measurable) mappings from a probability space into the set of fuzzy sets and prove a uniform strong law of large numbers for sequences of independent and identically distributed fuzzy random sets. Our results generalize those of Bass and Pyke(1984)and Jang and Kwon(1998).

DISSIPATIVE RANDOM DYNAMICAL SYSTEMS AND LEVINSON CENTER

  • Asmahan A. Yasir;Ihsan J. Kadhim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.521-535
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    • 2023
  • In this work, some various types of Dissipativity in random dynamical systems are introduced and studied: point, compact, local, bounded and weak. Moreover, the notion of random Levinson center for compactly dissipative random dynamical systems presented and prove some essential results related with this notion.

A CLT FOR A SEQUENCE OF RANDOM FIELDS ON A RESTRICTED INDEXED SET

  • JEON T. I.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.441-453
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    • 2005
  • In this article we will introduce a real valued random field on a restricted indexed set and construct a classical asymptotic limit theorems on them. We will survey the basic properties of weakly dependent random processes and investigate two major mixing conditions for sequences of random variables. The concepts of weakly dependent sequence of random variables will be generalized to the case of random fields. Finally we will construct a central limit theorem and prove it.

Central limit theorems for fuzzy random sets (퍼지 랜덤 집합에 대한 중심극한정리)

  • Kwon Joong-Sung;Kim Yun-Kyong;Joo Sang-Yeol;Choi Gyeong-Suk
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.3
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    • pp.337-342
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    • 2005
  • The present paper establishes the improved version of central limit theorem for sums of level-continuous fuzzy set-valued random variables as a generalization of central limit theorem for sums of independent and identically distributed set-valued random variables.

SOME PROPERTIES OF MUTUAL INFORMATION AND TYPICAL SET

  • LEE, YOUNG SOO
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.133-142
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    • 2000
  • In this note we define typical set and differential entropy for continuous random variables. Using Markov chain, we show that the various properties of the mutual information and entropies (theorems 3.2 and 3.4 ) and show the properties of typical set in continuous random variables( lemma 4.2 and theorem 4.3.)

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SIZE DISTRIBUTION OF ONE CONNECTED COMPONENT OF ELLIPTIC RANDOM FIELD

  • Alodat, M.T.
    • Journal of the Korean Statistical Society
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    • v.36 no.4
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    • pp.479-488
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    • 2007
  • The elliptic random field is an extension to the Gaussian random field. We proved a theorem which characterizes the elliptic random field. We proposed a heuristic approach to derive an approximation to the distribution of the size of one connected component of its excursion set above a high threshold. We used this approximation to approximate the distribution of the largest cluster size. We used simulation to compare the approximation with the exact distribution.

Joint Optimization of User Set Selection and Transmit Power Allocation for Orthogonal Random Beamforming in Multiuser MIMO Systems

  • Kang, Tae-Sung;Seo, Bangwon
    • ETRI Journal
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    • v.34 no.6
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    • pp.879-884
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    • 2012
  • When the number of users is finite, the performance improvement of the orthogonal random beamforming (ORBF) scheme is limited in high signal-to-noise ratio regions. In this paper, to improve the performance of the ORBF scheme, the user set and transmit power allocation are jointly determined to maximize sum rate under the total transmit power constraint. First, the transmit power allocation problem is expressed as a function of a given user set. Based on this expression, the optimal user set with the maximum sum rate is determined. The suboptimal procedure is also presented to reduce the computational complexity, which separates the user set selection procedure and transmit power allocation procedure.