• Title/Summary/Keyword: point estimator

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Quick Detection of Variance Change Point for I.I.D. Data

  • Park, Kyoung-Hwa;Kim, Tae-Yoon;Song, Gyu-Moon;Choi, Jung-Jae
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.173-183
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    • 2005
  • This paper studies quick detection of variance change point for iid data. For development of sensitive and adaptive variance change point detector, moving variance ratio is employed as a variance ratio estimator. It is shown that selection of tuning parameters of detector, (i.e., information and lag tuning parameters) is critical for detector to achieve desirable sensitivity and adaptiveness. Interestingly our simulation result reveals limitations of the commonly used change ratio against the previous day. Our results will provide useful insight when the detector is applied to time series data.

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Comparative analysis of Bayesian and maximum likelihood estimators in change point problems with Poisson process

  • Kitabo, Cheru Atsmegiorgis;Kim, Jong Tae
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.1
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    • pp.261-269
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    • 2015
  • Nowadays the application of change point analysis has been indispensable in a wide range of areas such as quality control, finance, environmetrics, medicine, geographics, and engineering. Identification of times where process changes would help minimize the consequences that might happen afterwards. The main objective of this paper is to compare the change-point detection capabilities of Bayesian estimate and maximum likelihood estimate. We applied Bayesian and maximum likelihood techniques to formulate change points having a step change and multiple number of change points in a Poisson rate. After a signal from c-chart and Poisson cumulative sum control charts have been detected, Monte Carlo simulation has been applied to investigate the performance of Bayesian and maximum likelihood estimation. Change point detection capacities of Bayesian and maximum likelihood estimation techniques have been investigated through simulation. It has been found that the Bayesian estimates outperforms standard control charts well specially when there exists a small to medium size of step change. Moreover, it performs convincingly well in comparison with the maximum like-lihood estimator and remains good choice specially in confidence interval statistical inference.

The Study for NHPP Software Reliability Growth Model of Percentile Change-point (백분위수 변화점을 고려한 NHPP 소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • Convergence Security Journal
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    • v.8 no.4
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    • pp.115-120
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    • 2008
  • Accurate predictions of software release times, and estimation of the reliability and availability of a software product require quantification of a critical element of the software testing process: Change-point problem. In this paper, exponential (Goel-Okumoto) model was reviewed, proposes the percentile change-point problem, which maked out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE statistics, for the sake of efficient model, was employed. Using NTDS data, The numerical example of percentilechange-point problemi s presented.

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Reliability and ratio in a right truncated Rayleigh distribution

  • Lee, Jang-Choon;Lee, Chang-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.1
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    • pp.195-200
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    • 2010
  • In this paper, we consider estimators and a condence interval for a reliability in two independent right truncated Rayleigh distributions and consider the density of a ratio in two independent right truncated Rayleigh distributions. And we obtain the density of an estimator for a changing point in the density of a ratio in two independent right truncated Rayleigh distributions.

Biased PNG for Approximate Target Adaptive Guidance

  • Song chanho;Kim, philsung;Jun byungeul
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.141.2-141
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    • 2001
  • An approximate target adaptive guidance algorithm(TAG) is proposed on the basis of the assumption that angular acceleration of missile to target line-of-sight and start time for TAG can be obtained by IR seeker. The algorithm does not use any target state estimator. Instead, it avoids the problem of determining target attitude by using the observation that the missile using LOS rate guidance is nearly on the collision course in the later point of engagement. Computer simulation results show that the proposed algorithm can effectively perform target adaptive guidance.

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A method for feeding flow rate control by measuring weight (무게 측정에 의한 원료 정량 투입 제어 방법)

  • 권오정;황일영;이광순
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.937-940
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    • 1992
  • A cost-saving feeding rate contro method for a batch reaction process is proposed by reconfigurating the flow rate control loop where the feeding rate is estimated by differentiating weight measurement. While the existing control methods require either a flow rate measurement device or a flow rate estimator, the proposed method is devised not to require neither of these facilities by directly controlling the tank weight with a time-varying set point. Experimental evaluation in a pilot-scale unit shows that the proposed method can significantly reduce the actuator hunting of the existing method where the flow rate is estimated by differentiating the weight measurement.

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REGRESSION FRACTIONAL HOT DECK IMPUTATION

  • Kim, Jae-Kwang
    • Journal of the Korean Statistical Society
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    • v.36 no.3
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    • pp.423-434
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    • 2007
  • Imputation using a regression model is a method to preserve the correlation among variables and to provide imputed point estimators. We discuss the implementation of regression imputation using fractional imputation. By a suitable choice of fractional weights, the fractional regression imputation can take the form of hot deck fractional imputation, thus no artificial values are constructed after the imputation. A variance estimator, which extends the method of Kim and Fuller (2004), is also proposed. Results from a limited simulation study are presented.

A STUDY ON KERNEL ESTIMATION OF A SMOOTH DISTRIBUTION FUNCTION ON CENSORED DATA

  • Jee, Eun Sook
    • The Mathematical Education
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    • v.31 no.2
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    • pp.133-140
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    • 1992
  • The problem of estimating a smooth distribution function F at a point $\tau$ based on randomly right censored data is treated under certain smoothness conditions on F . The asymptotic performance of a certain class of kernel estimators is compared to that of the Kap lan-Meier estimator of F($\tau$). It is shown that the .elative deficiency of the Kaplan-Meier estimate. of F($\tau$) with respect to the appropriately chosen kernel type estimate. tends to infinity as the sample size n increases to infinity. Strong uniform consistency and the weak convergence of the normalized process are also proved.

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Jackknife Estimation in a Truncated Exponential Distribution with an Uniform Outlier

  • Lee, Chang-Soo;Chang, Chu-Seock;Park, Yang-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.1021-1028
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    • 2006
  • We shall propose ML, ordinary jackknife and biased reducing estimators of the parameter in the right truncated exponential distribution with an unidentified uniform outlier when the truncated point is unknown and their biases and MSE's are compared numerically each other in the small sample sizes.

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Nonparametric detection algorithm of discontinuity points in the variance function

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.3
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    • pp.669-678
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    • 2007
  • An algorithm to detect the number of discontinuity points of the variance function in regression model is proposed. The proposed algorithm is based on the left and right one-sided kernel estimators of the second moment function and test statistics of the existence of a discontinuity point coming from the asymptotic distribution of the estimated jump size. The finite sample performance is illustrated by simulated example.

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