• Title/Summary/Keyword: exponential power distribution

Search Result 122, Processing Time 0.022 seconds

On scaled cumulative residual Kullback-Leibler information

  • Hwang, Insung;Park, Sangun
    • Journal of the Korean Data and Information Science Society
    • /
    • v.24 no.6
    • /
    • pp.1497-1501
    • /
    • 2013
  • Cumulative residual Kullback-Leibler (CRKL) information is well defined on the empirical distribution function (EDF) and allows us to construct a EDF-based goodness of t test statistic. However, we need to consider a scaled CRKL because CRKL is not scale invariant. In this paper, we consider several criterions for estimating the scale parameter in the scale CRKL and compare the performances of the estimated CRKL in terms of both power and unbiasedness.

Accelerated Life Tests under Uniform Stress Distribution (스트레스함수가 균등분포인 가속수명시험)

  • 원영철
    • Journal of the Korea Safety Management & Science
    • /
    • v.2 no.2
    • /
    • pp.71-83
    • /
    • 2000
  • This paper presents accelerated life tests for Type I censoring data under probabilistic stresses. Probabilistic stress, $S_j$, is the random variable for stress influenced by test environments, test equipments, sampling devices and use conditions. The hazard rate, ,$theta_j$, is the random variable of environments and the function of probabilistic stress. Also it is assumed that the general stress distribution is uniform, the life distribution for the given hazard rate, $\theta$, is exponential and inverse power law model holds. In this paper, we obtained maximum likelihood estimators of model parameters and the mean life in use stress condition.

  • PDF

A Study on the Statistical characteristics of Hagul Graphic Image Date (한글 Graphic Image Date의 통계적 특성에 관한 연구)

  • 김재석;김재균
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.17 no.2
    • /
    • pp.15-22
    • /
    • 1980
  • For efficient coding of graphic image data, the statistical characteristics for both Korean lettered images and English lettered images are measurpd and co mpared. Also, the measured run length distribution is compared with the run length distribution hased on Markov model. It is shown that the measured white run length distribution is more Bike a negative - power distribution than an exponential distribution . This fact is stronger in the Korean lettered images than is the English lettered images, The performances of four typical run length codes are compared for the same set of graphic data files,, and it is shown that the codes perform better in the Korean ]entered images :hart In Eng]isle lettered images.

  • PDF

Adaptive Sliding Mode Control with Enhanced Optimal Reaching Law for Boost Converter Based Hybrid Power Sources in Electric Vehicles

  • Wang, Bin;Wang, Chaohui;Hu, Qiao;Ma, Guangliang;Zhou, Jiahui
    • Journal of Power Electronics
    • /
    • v.19 no.2
    • /
    • pp.549-559
    • /
    • 2019
  • This paper proposes an adaptive sliding mode control (ASMC) strategy with an enhanced optimal reaching law (EORL) for the robust current tracking control of the boost converter based hybrid power source (HPS) in an electric vehicle (EV). A conventional ASMC strategy based on state observers and the hysteresis control method is used to realize the current tracking control for the boost converter based HPS. Then a novel enhanced exponential reaching law is proposed to improve the ASMC. Moreover, an enhanced exponential reaching law is optimized by particle swarm optimization. Finally, the adaptive control factor is redesigned based on the EORL. Simulations and experiments are established to validate the ASMC strategy with the EORL. Results show that the ASMC strategy with the EORL has an excellent current tracking control effect for the boost converter based HPS. When compared with the conventional ASMC strategy, the convergence time of the ASMC strategy with the EORL can be effectively improved. In EV applications, the ASMC strategy with the EORL can achieve robust current tracking control of the boost converter based HPS. It can guarantee the active and stable power distribution for boost converter based HPS.

Comparisons of Acceptance Sampling Plans for the Exponential Lifetime Distribution

  • Jeong, Hyun-Seok;Yum, Bong-Jin
    • Journal of the Korean Statistical Society
    • /
    • v.23 no.2
    • /
    • pp.421-444
    • /
    • 1994
  • Reliability acceptance sampling is concerned with whether to accept or reject a collection of items based upon the information obtained from life testing. Although various reliability acceptance sampling plans have been developed, little is known about their relatvie performances. This paper compares reliability acceptance sampling plans under Type II censoring, Hybrid censoring, and Time-Truncated Type II censoring assuming that the lifetimes of items in a lot follow an exponential distribution. The three plans are compared in terms of the power, the expected number of failures, and the expected time required to reach a decision. Computational experiments are conducted and the results are tabulated to provide guidelines for selecting an appropriate plan for a given situation.

  • PDF

A Study on Failure Rate Extraction of Power Distribution System Equipment (배전기기 고장률 추출에 관한 연구)

  • Moon, Jong-Fil;Kim, Jae-Chul;Lee, Hee-Tae;Chu, Cheol-Min;Ahn, Jae-Min
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
    • /
    • 2007.05a
    • /
    • pp.366-368
    • /
    • 2007
  • In this paper, the Time-varying Failure Rate (TFR) of power distribution system equipment is extracted from the recorded failure data of Korea Electric Power Corporation (KEPCO). For TFR extraction, it is used that the fault data accumulated by KEPCO during 10 years. The TFR is approximated to bathtub curve using the exponential (random failure) and Weibull (aging failure) distribution function. In addition, Kaplan-Meier estimation is applied to TFR extraction because of incomplete failure data of KEPCO. Finally, Probability plot and regression analysis is applied. It is presented that the extracted TFR is more effective and useful than Mean Failure Rate (MFR) through the comparison between TFR and MFR.

  • PDF

Time variation characteristic of pulse-modulated high frequency plasma (펄스 모듈레이션된 고주파 플라즈마의 시변 특성)

  • Lee, S.H.;Lee, D.S.;Jo, Y.S.;Kim, D.H.;Lee, H.J.;Park, C.H.
    • Proceedings of the KIEE Conference
    • /
    • 2004.07c
    • /
    • pp.1817-1819
    • /
    • 2004
  • From the plasma application point of view, electron temperature and density are one of the most important parameters for plasma process. But it is only available to control plasma by adjusting external factors like gas pressure and input power. In this paper, pulse-modulated plasma is generated by modulating 13.56GHz RF power with 1, 5, 10kHz pulse. And Langmuir probe technique is used to study the distribution of electron temperature and density. When modulated pulse is off, electron temperature decreases gradually in form of exponential decay. The value t of exponential decay slope is 33.619, 13.834, 10.803 in 1kHz. 5kHz. 10kHz. This implies that this method can be used to control electron temperature and density.

  • PDF

Testing for Exponentiality Against Harmonic New Better than Used in Expectation Property of Life Distributions Using Kernel Method

  • Al-Ruzaiza A. S.;Abu-Youssef S. E.
    • International Journal of Reliability and Applications
    • /
    • v.6 no.1
    • /
    • pp.1-12
    • /
    • 2005
  • A new test for testing that a life distribution is exponential against the alternative that it is harmonic new better (worse) than used in expectation upper tail HNBUET (HNWUET), but not exponential is presented based on the highly popular 'Kernel methods' of curve fitting. This new procedure is competitive with old one in the sense of Pitman's asymptotic relative efficiency, easy to compute and does not depend on the choice of either the band width or kernel. It also enjoys good power.

  • PDF

Exact solution for axial vibration of the power, exponential and sigmoid FG nonlocal nanobeam

  • Hosseini, S.A.H.;Moghaddam, M.H. Noroozi;Rahmani, O.
    • Advances in aircraft and spacecraft science
    • /
    • v.7 no.6
    • /
    • pp.517-536
    • /
    • 2020
  • The present study investigates axial vibration of a FG nanobeam using nonlocal elasticity theory under clamped-clamped and clamped-free boundary conditions. Power law, exponential law and sigmoid law are applied as grading laws to examine the effect of the material distribution on axial vibration of the FG nanobeam. A parametric study was done to examine the effect of length scale on the dynamic behavior of the structure and the results are presented. It was observed that consideration of the nonlocal length scale is essential when analyzing the free vibration of a FG nanobeam. The results of the present study can be used as benchmarks in future studies of FG nanostructures.

REMARKS ON A PAPER OF LEE AND LIM

  • Hamedani, G.G.;Slattery, M.C.
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.27 no.3
    • /
    • pp.475-477
    • /
    • 2014
  • Lee and Lim (2009) state three characterizations of Loamax, exponential and power function distributions, the proofs of which, are based on the solutions of certain second order non-linear differential equations. For these characterizations, they make the following statement : "Therefore there exists a unique solution of the differential equation that satisfies the given initial conditions". Although the general solution of their first differential equation is easily obtainable, they do not obtain the general solutions of the other two differential equations to ensure their claim via initial conditions. In this very short report, we present the general solutions of these equations and show that the particular solutions satisfying the initial conditions are uniquely determined to be Lomax, exponential and power function distributions respectively.