• Title/Summary/Keyword: Exponential model

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Jackknife Estimators in the Left Truncated Exponential Model

  • Cho, Kil-Ho;Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.487-492
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    • 2006
  • Jackknife estimators for parameters in the left truncated exponential model are presented. And we show that the generalized jackknife estimators are more efficient than others in terms of the bias and the mean squared error.

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Jackknife Estimation for Mean in Exponential Model with Grouped and Censored Data

  • Kil Ho Cho;Yong Ku Kim;Seong Kwa Jeong
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.869-878
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    • 1998
  • In this paper, we propose some jackknife estimators for mean in the exponential model with grouped and censored data. Also, we compare the proposed jackknife estimators to other approximate estimators in terms of the mean square error and bias.

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An Exponential Smoothing Adaptive Failure Detector in the Dual Model of Heartbeat and Interaction

  • Yang, Zhiyong;Li, Chunlin;Liu, Yanpei;Liu, Yunchang;Xu, Lijun
    • Journal of Computing Science and Engineering
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    • v.8 no.1
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    • pp.17-24
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    • 2014
  • In this paper, we propose a new implementation of a failure detector. The implementation uses a dual model of heartbeat and interaction. First, the heartbeat model is adopted to shorten the detection time, if the detection process does not receive the heartbeat message in the expected time. The interaction model is then used to check the process further. The expected time is calculated using the exponential smoothing method. Exponential smoothing can be used to estimate the next arrival time not only in the random data, but also in the data of linear trends. It is proven that the new detector in the paper can eventually be a perfect detector.

Parametric inference on step-stress accelerated life testing for the extension of exponential distribution under progressive type-II censoring

  • El-Dina, M.M. Mohie;Abu-Youssef, S.E.;Ali, Nahed S.A.;Abd El-Raheem, A.M.
    • Communications for Statistical Applications and Methods
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    • v.23 no.4
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    • pp.269-285
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    • 2016
  • In this paper, a simple step-stress accelerated life test (ALT) under progressive type-II censoring is considered. Progressive type-II censoring and accelerated life testing are provided to decrease the lifetime of testing and lower test expenses. The cumulative exposure model is assumed when the lifetime of test units follows an extension of the exponential distribution. Maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of the model parameters are also obtained. In addition, a real dataset is analyzed to illustrate the proposed procedures. Approximate, bootstrap and credible confidence intervals (CIs) of the estimators are then derived. Finally, the accuracy of the MLEs and BEs for the model parameters is investigated through simulation studies.

Pooling shrinkage estimator of reliability for exponential failure model using the sampling plan (n, C, T)

  • Al-Hemyari, Z.A.;Jehel, A.K.
    • International Journal of Reliability and Applications
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    • v.12 no.1
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    • pp.61-77
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    • 2011
  • One of the most important problems in the estimation of the parameter of the failure model, is the cost of experimental sampling units, which can be reduced by using any prior information available about ${\theta}$, and devising a two-stage pooling shrunken estimation procedure. We have proposed an estimator of the reliability function (R(t)) of the exponential model using two-stage time censored data when a prior value about the unknown parameter (${\theta}$) is available from the past. To compare the performance of the proposed estimator with the classical estimator, computer intensive calculations for bias, mean squared error, relative efficiency, expected sample size and percentage of the overall sample size saved expressions, were done for varying the constants involved in the proposed estimator (${\tilde{R}}$(t)).

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A Study on the Prediction of the World Seaborne Trade Volume through the Exponential Smoothing Method and Seemingly Unrelated Regression Model (지수평활법과 SUR 모형을 통한 세계 해상물동량 예측 연구)

  • Ahn, Young-Gyun
    • Korea Trade Review
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    • v.44 no.2
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    • pp.51-62
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    • 2019
  • This study predicts the future world seaborne trade volume with econometrics methods using 23-year time series data provided by Clarksons. For this purpose, this study uses simple regression analysis, exponential smoothing method and seemingly unrelated regression model (SUR Model). This study is meaningful in that it predicts worldwide total seaborne trade volume and seaborne traffic in four major items (container, bulk, crude oil, and LNG) from 2019 to 2023 as there are few prior studies that predict future seaborne traffic using recent data. It is expected that more useful references can be provided to trade related workers if the analysis period was increased and additional variables could be included in future studies.

The Effect of Machining Parameters on Tool Electrode Edge Wear and Machining Performance in Electric Discharge Machining (EDM)

  • Cogun, Can;Akaslan, S.
    • Journal of Mechanical Science and Technology
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    • v.16 no.1
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    • pp.46-59
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    • 2002
  • The main purpose of this study is to investigate the variation of tool electrode edge wear and machining performance outputs, namely, the machining rate (workpiece removal rate), tool wear rate and the relative wear, with the varying machining parameters (pulse time, discharge current and dielectric flushing pressure) in EDM die sinking. The edge wear profiles obtained are modeled by using the circular arcs, exponential and poller functions. The variation of radii of the circular arcs with machining parameters is given. It is observed that the exponential function models the edge wear profiles of the electrodes, very accurately. The variation of exponential model parameters with machining parameters is presented.

Comparative Study on the Performance of Finite Failure NHPP Software Development Cost Model Based on Inverse-type Life Distribution (Inverse-type 수명분포에 근거한 유한고장 NHPP 소프트웨어 개발비용 모형의 성능에 관한 비교 연구)

  • Seung-Kyu Park
    • The Journal of the Korea institute of electronic communication sciences
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    • v.18 no.5
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    • pp.935-944
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    • 2023
  • In this study, the Inverse-type (: Inverse-Exponential, Inverse-Rayleigh) life distribution, which is known to be suitable for reliability research, was applied to a software development cost model based on finite failure NHPP(: Nonhomogeneous Poisson Process), and then the attributes that determine the model's performance were analyzed. Additionally, to evaluate the efficiency of the model, it was compared with the Goel-Okumoto basic model. The performance of the model was analyzed using failure time data, and MLE (: Maximum Likelihood Estimation) was applied to calculate the parameters. In conclusion, first, as a result of analyzing m(t), which determines the development cost, the Inverse-Exponential model was efficient due to its small error in the true value. Second, as a result of analyzing the release time along with the development cost, the Inverse-Rayleigh model was confirmed to be the best. Third, as a result of comprehensive evaluation of the attributes (m(t), cost, and release time) of the proposed model, the Inverse-Rayleigh model had the best performance. Therefore, if software developers can effectively utilize this research data in the early process, they will be able to proactively explore and analyze attributes that affect cost.

EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL

  • Xu, Yanli
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.473-493
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    • 2014
  • This paper concerns with a class of delayed Nicholson's blowflies model with a nonlinear density-dependent mortality term. Under appropriate conditions, we establish some criteria to ensure that the solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give some examples and numerical simulations to illustrate our main results.