• Title/Summary/Keyword: extensions

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SOME NOTES ON EXTENSIONS OF BASIC UNIVALENCE CRITERIA

  • Deniz, Erhan;Orhan, Halit
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.179-189
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    • 2011
  • The object of the present paper is to obtain a more general condition for univalence of analytic functions in the open unit disk U. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.

Taylor's Power Law and Quasilikelihood

  • Park, Heung-Sun;Cho, Ki-Jong
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.253-256
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    • 2003
  • In ecological studies, animal science, or entomology, the variance of count is considered to have the power of the mean relationship with the mean count as Taylor (1961) presented his famous 'Taylor's Power Law'. In this talk, we are going to review the development of TPL and its extension toward pest management sampling scheme. Different estimation methods are compared. Quasilikelihood approach is suggested to incorporate covariate information. Possible extensions will be discussed.

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C-DUNFORD INTEGRAL AND C-PETTIS INTEGRAL

  • Zhao, Dafang;You, Xuexiao
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.1
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    • pp.21-28
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    • 2008
  • In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We prove that a function f is C-Dunford integrable if and only if $x^*f$ is C-integrable for each $x^*{\in}X^*$ and prove the controlled convergence theorem for the C-Pettis integral.

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Conflict in the Shadow of Conflict

  • BANG, SE HOON;KIM, JAESOO
    • KDI Journal of Economic Policy
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    • v.38 no.4
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    • pp.95-114
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    • 2016
  • We study how an advantage given to an interim winner in sequential conflicts characterizes dynamic competition between players and influences their payoffs. As the intensity of competition during each period is negatively correlated, perfect security is not necessarily desirable for contending parties. We present results which are widely applicable to various types of dynamic competition, where competition in each period is linked to the interim winner's relative advantage. Policy implications are also discussed in a variety of areas, and several extensions are explored.

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Generalized Kullback-Leibler information and its extensions to censored and discrete cases

  • Park, Sangun
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.6
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    • pp.1223-1229
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    • 2012
  • In this paper, we propose a generalized Kullback-Leibler (KL) information for measuring the distance between two distribution functions where the extension to the censored case is immediate. The generalized KL information has the nonnegativity and characterization properties, and its censored version has the additional property of monotonic increase. We also extend the discussion to the discrete case and propose a generalized censored measure which is comparable to Pearson's chi-square statistic.

Nonlinear PLS Monitoring Applied to An Wastewater Treatment Process

  • Bang, Yoon-Ho;Yoo, Chang-Kyoo;Park, Sang-Wook;Lee, In-Beum
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.102.1-102
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    • 2001
  • In this work, extensions to partial least squares (PLS) for wastewater treatment (WWT) process monitoring are discussed. Conventional data gathered by monitoring WWT systems are usually time varying, high dimensional, correlated and nonlinear, PLS has been shown to be an efficient approach in modeling and monitoring high dimensional and correlated data. To represent dynamic and nonlinear features of the data several kinds of dynamic nonlinear PLS (DNLPLS) models have been proposed. However, the complexity and ambiguity of the models make them unsuitable for WWT monitoring, Recently, dynamic fuzzy PLS (DFPLS) was proposed ...

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SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS

  • Cerin, Zvonko;Bitim, Bahar Demirturk;Keskin, Refik
    • Honam Mathematical Journal
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    • v.40 no.1
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    • pp.199-210
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    • 2018
  • In this paper we obtain some formulae for several sums of generalized Fibonacci numbers $U_n$ and generalized Lucas numbers $V_n$ and their dual forms $G_n$ and $H_n$ by using extensions of an interesting identity by A. R. Amini for Fibonacci numbers to these four kinds of generalizations and their first and second derivatives.

New Records of Three Xanthid Crabs (Decapoda: Brachyura: Xanthidae) from Jejudo Island in Korea

  • Lee, Seok-Hyun;Ko, Hyun-Sook
    • Animal Systematics, Evolution and Diversity
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    • v.27 no.2
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    • pp.183-190
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    • 2011
  • Three xanthid crabs, Liomera margaritata, Neoxanthops lineatus and Pilodius miersi, are described and illustrated for the first time in Korea. Liomera margaritata and N. lineatus are the first species of their genera to be found in Korea. The three species represent extensions of their previously known ranges and bring the number of known species of the xanthid crabs to 25 from Korean waters.

Burn-in Models: Recent Issues, Developments and Future Topics

  • Cha, Ji-Hwan
    • Communications for Statistical Applications and Methods
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    • v.16 no.5
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    • pp.871-880
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    • 2009
  • Recently, there has been much development on burn-in models in reliability area. Especially, the previous burn-in models have been extended to more general cases. For example, (i) burn-in procedures for repairable systems have been developed (ii) an extended assumption on the failure rate of the system has been proposed and (iii) a stochastic model for burn-in procedure in accelerated environment has been developed. In this paper, recent extensions and advances in burn-in models are introduced and some issues to be considered in the future study are discussed.