• 제목/요약/키워드: random

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ON RECURSIONS FOR MOMENTS OF A COMPOUND RANDOM VARIABLE: AN APPROACH USING AN AUXILIARY COUNTING RANDOM VARIABLE

  • Yoora Kim
    • East Asian mathematical journal
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    • 제39권3호
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    • pp.331-347
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    • 2023
  • We present an identity on moments of a compound random variable by using an auxiliary counting random variable. Based on this identity, we develop a new recurrence formula for obtaining the raw and central moments of any order for a given compound random variable.

ABSTRACT RANDOM LINEAR OPERATORS ON PROBABILISTIC UNITARY SPACES

  • Tran, Xuan Quy;Dang, Hung Thang;Nguyen, Thinh
    • 대한수학회지
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    • 제53권2호
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    • pp.347-362
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    • 2016
  • In this paper, we are concerned with abstract random linear operators on probabilistic unitary spaces which are a generalization of generalized random linear operators on a Hilbert space defined in [25]. The representation theorem for abstract random bounded linear operators and some results on the adjoint of abstract random linear operators are given.

랜덤 삼각파 캐리어를 적용한 하이브리드 랜덤 PWM(HRPWM)방식의 파워 스펙트럼 (Power Spectra of the Hybrid Random PWM(HRPWM) Technique Adopting a Random Triangular Carrier)

  • 김기선;임영철;박성준;김광헌;정영국
    • 전력전자학회논문지
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    • 제10권5호
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    • pp.501-507
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    • 2005
  • 본 연구에서는 유도 전동기의 파워 스펙트럼 확산을 위한 LF2407 DSP기반 하이브리드 랜덤 PWM(HRPWM)을 제안하였다. 제안된 방법은 Lead-Lag 랜덤 비트를 갖는 PRBS (Pseudo-Random Binary Sequence)와 논리적으로 비교를 하기 위한 랜덤 삼각파 캐리어로 구성된다. 또한 DSP에 의하여 랜덤 수 및 PRBS 그리고 3상 기준 정현파를 실시간으로 발생하며, DSP외부의 주파수 변조기 MAX038에 의하여 랜덤 주파수의 캐리어를 발생한다. 본 연구의 타당성 검증을 위하여 제안된 기법을 3상 가변속 구동장치에 적용하였으며, 종전의 방법과 전압 및 전류 그리고 전동기 소음의 파워 스펙트럼을 비교 검토하였다.

On the Initial Seed of the Random Number Generators

  • Kim, Tae-Soo;Lee, Young-Hae
    • 한국시뮬레이션학회:학술대회논문집
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    • 한국시뮬레이션학회 2001년도 The Seoul International Simulation Conference
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    • pp.464-467
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    • 2001
  • A good arithmetic random number generator should possess full period, uniformity and independence, etc. To obtain the excellent random number generator, many researchers have found good parameters. Also an initial seed is the important factor in random number generator. But, there is no theoretical guideline for using the initial seeds. Therefore, random number generator is usually used with the arbitrary initial seed. Through the empirical tests, we show that the choice of the initial values for the seed is important to generate good random numbers.

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Random number generation by use of de Bruijin sequence

  • Harada, Hiroshi;Kashiwagi, Hiroshi;Oguri, Kazuo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.1033-1036
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    • 1988
  • This paper proposes a new method for generation of uniform random numbers using binary random sequences. These binary sequences are obtained from a de Bruijn sequence by random sampling method. Several statistical tests are carried out for the random numbers generated by the proposed method, and it is shown that the random numbers have good random properties.

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A NOTE ON RANDOM FUZZY RENEWAL PROCESS

  • Hong, Dug-Hun
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1459-1463
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    • 2009
  • Recently, Zhao et.al [European Journal of Operational Research 169 (2006) 189-201] discussed a random fuzzy renewal process based on random fuzzy theory. They considered the rate of the random fuzzy renewal process and presented a random fuzzy elementary renewal theorem. They also established Blackwell's theorem in random fuzzy sense. But all these results are invalid. We give a counter example in this note.

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불규칙 가진을 받는 탄성진자의 응답 해석 (Response of an Elastic Pendulum under Random Excitations)

  • 이신영
    • 한국공작기계학회논문집
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    • 제18권2호
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    • pp.187-193
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    • 2009
  • Dynamic response of an elastic pendulum system under random excitations was studied by using the Lagrangian equations of motion which uses the kinetic and potential energy of a target system. The responses of random excitations were calculated by using Monte Carl simulation which uses the series of random numbers. The procedure of Monte Carlo simulation is generation of random numbers, system model, system output, and statistical management of output. When the levels of random excitations were changed, the expected responses of the pendulum system showed various responses.