• 제목/요약/키워드: exponential analysis

검색결과 976건 처리시간 0.029초

Noninformative Priors for Step Stress Accelerated Life Tests in Exponential Distribution

  • 이우동;박홍경
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 2009년도 춘계학술대회 미래 IT융합기술 및 전략
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    • pp.107-113
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    • 2009
  • This paper deals with noninformative priors for such as Jeffres' prior, reference prior and probability matching prior for scale parameter of exponential distribution when the data are collected in multiple step stress accelerated life tests. We find the noninformative priors for this model and show that the reference prior satisfies first order matching criterion. Using artificial data, we perform Bayesian analysis for proposed priors.

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Comparative analysis of yeast cell viability at exponential and stationary growth phases

  • An, Yejin;Jo, Nayoon;Kim, Hyeji;Nam, Dahye;Son, Woorim;Park, Jinkyu
    • 분석과학
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    • 제35권4호
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    • pp.181-188
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    • 2022
  • This paper describes a comparative analysis of yeast cell viability at exponential and stationary growth phases using multiple conventional techniques and statistical tools. Overall, cellular responses to various viability assays were asynchronous. Results of optical density measurement and direct cell counting were asynchronous both at exponential and stationary phases. Proliferative capacity measurement using SP-SDS indicated that cells at the end of the stationary phase were proliferative as much as exponentially growing cells. Metabolic activity assays using two different dyes concluded that the inside of cells at stationary phase is slightly less reducing compared to that of exponentially growing cells, implying that the metabolic activity imperceptibly declined as cells were aged. These results will be helpful to understand the details of yeast cell viability at exponential and stationary growth phases.

Bayesian Prediction Analysis for the Exponential Model Under the Censored Sample with Incomplete Information

  • 김영훈;고정환
    • Journal of the Korean Data and Information Science Society
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    • 제13권1호
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    • pp.139-145
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    • 2002
  • This paper deals with the problem of obtaining the Bayesian predictive density function and the prediction intervals for a future observation and the p-th order statistics of n future observations for the exponential model under the censored sampling with incomplete information.

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NEW RESULT CONCERNING MEAN SQUARE EXPONENTIAL STABILITY OF UNCERTAIN STOCHASTIC DELAYED HOPFIELD NEURAL NETWORKS

  • Bai, Chuanzhi
    • 대한수학회보
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    • 제48권4호
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    • pp.725-736
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    • 2011
  • By using the Lyapunov functional method, stochastic analysis, and LMI (linear matrix inequality) approach, the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.

A NEW APPROACH TO EXPONENTIAL STABILITY ANALYSIS OF NONLINEAR SYSTEMS

  • WAN ANHUA
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.345-351
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    • 2005
  • An effective method for analyzing the stability of nonlinear systems is developed. After introducing a novel concept named the point- wise generalized Dahlquist constant for any mapping and presenting its useful properties, we show that the point-wise generalized Dahlquist constant is sufficient for characterizing the exponential stability of nonlinear systems.

LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM

  • Nhan, Nguyen Huu;Nhan, Truong Thi;Ngoc, Le Thi Phuong;Long, Nguyen Thanh
    • Nonlinear Functional Analysis and Applications
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    • 제26권1호
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    • pp.35-64
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    • 2021
  • In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish a sufficient condition to obtain the global existence and exponential decay of weak solutions.

MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION

  • Vijaya, K.;Murugusundaramoorthy, G.;Cho, N.E.
    • Nonlinear Functional Analysis and Applications
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    • 제26권1호
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    • pp.71-81
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    • 2021
  • The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.

지수평활을 이용한 법원 경매 정보 시스템의 낙찰가 예측방법 (A Forecasting Method for Court Auction Information System using Exponential Smoothing)

  • 오갑석
    • 한국컴퓨터정보학회논문지
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    • 제11권5호
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    • pp.59-67
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    • 2006
  • 본 논문에서는 지수평활을 이용한 법원경매 정보 시스템의 낙찰가 예측 방법을 제안하였다. 이 시스템은 권리분석을 위하여 낙찰가를 예측하고, 낙찰예측가에 따라 배당 정보를 제공하도록 설계되어 있으며 이를 구현하기 위하여 물건 자료의 입력 인터페이스와 정보 제공을 위한 웹 인터페이스를 구축하였다. 자료 입력 인터페이스는 자료의 입력, 수정, 삭제 기능을 가지며, 웹 인터페이스는 법원경매 물건을 중심으로 관련 정보를 제공한다. 실시간 정보 제공에 초점을 두고 자동 권리분석이 가능하도록 하기 위하여 낙찰가를 시계열 자료로 표현하여 지수평활을 이용한 낙찰예상가를 예측하는 방법을 제안하고, 기존의 방법과 비교 실험을 통하여 제안방법의 유효성을 검증한다.

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Simply supported boundary condition for bifurcation analysis of functionally graded material: Thickness control by exponential fraction law

  • Shadi Alghaffari;Muzamal Hussain;Mohamed A. Khadimallah;Faisal Al Thobiani;Hussain Talat Sulaimani
    • Advances in nano research
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    • 제14권4호
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    • pp.303-312
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    • 2023
  • In this study, the bifurcation analysis of functionally graded material is done using exponential volume fraction law. Shell theory of Love is used for vibration of shell. The Galerkin's method is applied for the formation of three equations in eigen value form. This eigen form gives the frequencies using the computer software MATLAB. The variations of natural frequencies (Hz) for Type-I and Type-II functionally graded cylindrical shells are plotted for exponential volume fraction law. The behavior of exponent of volume fraction law is seen for three different values. Moreover, the frequency variations of Type-I and -II clamped simply supported FG cylindrical shell with different positions of ring supports against the circumferential wave number are investigated. The procedure adopted here enables to study vibration for any boundary condition but for brevity, numerical results for a cylindrical shell with clamped simply supported edge condition are obtained and their analysis with regard various physical parameters is done.

Finite element based free vibration analysis of sandwich FGM plates under hygro-thermal conditions using zigzag theory

  • Aman Garg;Neeraj Kumar Shukla;M.Ramkumar Raja;Hanuman D. Chalak;Mohamed-Ouejdi Belarbi;Abdelouahed Tounsi;Li Li;A.M. Zenkour
    • Steel and Composite Structures
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    • 제49권5호
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    • pp.547-570
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    • 2023
  • In the present work, a comparative study has been carried out between power, exponential, and sigmoidal sandwich FGM plates for free vibration conditions under hygro-thermal conditions. Rules of mixture is used to determine effective material properties across the thickness for power-law and sigmoid sandwich FGM plates. Exponential law is used to plot effective material properties for exponentially graded sandwich FGM plates. Temperature and moisture dependent material properties were used during the analysis. Free vibration analysis is carried out using recently proposed finite element based HOZT. Present formulation satisfies interlayer transverse stress continuity conditions at interfaces and transverse shear stress-free conditions at the plate's top and bottom surfaces. The present model is free from any penalty or post-processing requirements. Several new results are reported in the present work, especially for unsymmetric sandwich FGM plates and exponential and sigmoidal sandwich FGM plates.