• Title/Summary/Keyword: Bias error

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ESTIMATING VARIOUS MEASURES IN NORMAL POPULATION THROUGH A SINGLE CLASS OF ESTIMATORS

  • Sharad Saxena;Housila P. Singh
    • Journal of the Korean Statistical Society
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    • v.33 no.3
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    • pp.323-337
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    • 2004
  • This article coined a general class of estimators for various measures in normal population when some' a priori' or guessed value of standard deviation a is available in addition to sample information. The class of estimators is primarily defined for a function of standard deviation. An unbiased estimator and the minimum mean squared error estimator are worked out and the suggested class of estimators is compared with these classical estimators. Numerical computations in terms of percent relative efficiency and absolute relative bias established the merits of the proposed class of estimators especially for small samples. Simulation study confirms the excellence of the proposed class of estimators. The beauty of this article lies in estimation of various measures like standard deviation, variance, Fisher information, precision of sample mean, process capability index $C_{p}$, fourth moment about mean, mean deviation about mean etc. as particular cases of the proposed class of estimators.

Ratio-Cum-Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variates

  • Tailor, Rajesh;Parmar, Rajesh;Kim, Jong-Min;Tailor, Ritesh
    • Communications for Statistical Applications and Methods
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    • v.18 no.2
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    • pp.155-164
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    • 2011
  • This paper suggests two ratio-cum-product estimators of finite population mean using known coefficient of variation and co-efficient of kurtosis of auxiliary characters. The bias and mean squared error of the proposed estimators with large sample approximation are derived. It has been shown that the estimators suggested by Upadhyaya and Singh (1999) are particular case of the suggested estimators. Almost ratio-cum product estimators of suggested estimators have also been obtained using Jackknife technique given by Quenouille (1956). An empirical study is also carried out to demonstrate the performance of the suggested estimators.

Sub-pixel image interpolations for PIV

  • Kim Byoung Jae;Sung Hyung Jin
    • 한국가시화정보학회:학술대회논문집
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    • 2004.12a
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    • pp.47-55
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    • 2004
  • Several interpolations for image deformation in PIV were evaluated. The tested interpolation methods are linear, quadratic, truncated sinc, windowed sinc, cubic, Lagrange, Gaussian $2^{nd}\;and\;6^{th}$ interpolators. Bias errors and random errors were evaluated in the range of $0\~3.0$ pixel uniform displacement using synthetic images. We also measured the time cost of each interpolator with respect to kernel size. The cubic interpolator with $6\times6$ kernel showed the best results in terms of the performance and time cost.

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Interacting Multiple Model Baro-Error Identification Filter (IMM 기법을 이용한 기압고도계 오차 식별 필터)

  • Whang, Ick-Ho;Ra, Won-Sang
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.290-291
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    • 2007
  • Barometers can provide height information steady but its accuracy becomes poor as the air data varies due to the vehicles's moving or time's elapsing. In order to keep the accuracy in spite of the air data changes, we propose a filter for the identification of baro-errors. The baro-errors mainly consist of bias and scale factor errors which gradually varies as the air data varies. With GPS height measurements, the scale factor and bias estimator is designed by applying the interacting multiple model (IMM) filtering technique to the baro-error random walk model. The resultant estimates are used to compensate current baro-measurement to supply accurate measurements steadily.

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Failure Detection Filter for the Sensor and Actuator Failure in the Auto-Pilot System

  • Suh, Sang-Hyun
    • Journal of Hydrospace Technology
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    • v.1 no.1
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    • pp.75-88
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    • 1995
  • Auto-Pilot System uses heading angle information via the position sensor and the rudder device to control the ship's direction. Most of the control logics are composed of the state estimation and control algorithms assuming that the measurement device and the actuator have no fault except the measurement noise. But such asumptions could bring the danger in real situation. For example, if the heading angle measuring device is out of order the control action based on those false position information could bring serious safety problem. In this study, the control system including improved method for processing the position information is applied to the Auto-Pilot System. To show the difference between general state estimator and F.D.F., BJDFs for the sensor and the actuator failure detection are designed and the performance are tested. And it is shown that bias error in sensor could be detected by state-augmented estimator. So the residual confined in the 2-dimension in the presence of the sensor failure could be unidirectional in output space and bias sensor error is much easier to be detected.

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Design of the RLG Current Stabilizer for Attitude Control in the Satellite (저궤도 위성 자세제어용 RLG 전류 안정화 회로 설계)

  • Kim, Eui-Chan;Lee, Heung-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.1
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    • pp.98-101
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    • 2008
  • In this paper, we describe the RLG current stabilizer circuit for attitude control in the satellite. The RLG makes use of the Sagnac effect within a resonant of a HeNe laser. The difference between two discharge currents causes one of the gyro bias errors. The theoretical background and current stabilizer are introduced. It is verified that the circuit designed is applicable to the test of input voltage and temperature.

Introduction of Integral Controller and Its Tuning for the improvements of AGC performance (자동발전제어(AGC) 제어 성능 개선을 위한 비례적분제어기의 도입 및 튜닝)

  • Ko, Dong-Wook;Kim, Jung-Woo;Chun, Yeong-Han
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.288-289
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    • 2006
  • Conventional AGC controller implemented by considering ACE and bias factors always contains error terms due to inaccuracy of bias factors. To improve this steady state AGC performance, PI controller can be introduced to the ACE processing and plant controller part. Even though more rigorous inspections are required, a simple application shows that it can be very useful for the improvements of AGC performances.

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Implementation of Bidirectional Associative Memories Using the GBAM Model with Bias Terms (바이어스항이 있는 GBAM 모델을 이용한 양방향 연상메모리 구현)

  • 임채환;박주영
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.69-72
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    • 2001
  • In this paper, we propose a new design method for bidirectional associative memories model with high error correction ratio. We extend the conventional GBAM model using bias terms and formulate a design procedure in the form of a constrained optimization problem. The constrained optimization problem is then transformed into a GEVP(generalized eigenvalue problem), which can be efficiently solved by recently developed interior point methods. The effectiveness of the proposed approach is illustrated by a example.

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Modeling & Error Compensation of Walking Navigation System (보행항법장치의 모델링 및 오차 보정)

  • Cho, Seong-Yun;Park, Chan Gook
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.6
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    • pp.221-227
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    • 2002
  • In this paper, the system model for the compensation of the low-cost personal navigation system is derived and the error compensation method using GPS is also proposed. WNS(Walking Navigation System) is a kind of personal navigation system using the number of a walk, stride and azimuth. Because the accuracy of these variables determines the navigation performance, computational methods have been investigated. The step is detected using the walking patterns, stride is determined by neural network and azimuth is calculated with gyro output. The neural network filters off unnecessary motions. However, the error compensation method is needed, because the error of navigation information increases with time. In this paper, the accumulated error due to the step detection error, stride error and gyro bias is compensated by the integrating with GPS. Loosely coupled Kalman filter is used for the integration of WNS and GPS. It is shown by simulation that the error is bounded even though GPS signal is blocked.

Assisted GNSS Positioning for Urban Navigation Based on Receiver Clock Bias Estimation and Prediction Using Improved ARMA Model

  • Xia, Linyuan;Mok, Esmond
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.395-400
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    • 2006
  • Among the various error sources in positioning and navigation, the paper focuses on the modeling and prediction of receiver clock bias and then tries to achieve positioning based on simulated and predicted clock bias. With the SA off, it is possible to model receiver clock bias more accurately. We selected several types of GNSS receivers for test using ARMA model. To facilitate prediction with short and limited sample pseudorange observations, AR and ARMA are compared, and the improved AR model is presented to model and predict receiver clock bias based on previous solutions. Our work extends to clock bias prediction and positioning based on predicted clock bias using only 3 satellites that is usually the case under urban canyon situation. In contrast to previous experiences, we find that a receiver clock bias can be well modeled using adopted ARMA model. Test has been done on various types of GNSS receivers to show the validation of developed model. To further develop this work, we compare solution conditions in terms of DOP values when point positioning is conducted using 3 satellites to simulate urban positioning environment. When condition allows, height component is derived from other ways and can be set as known values. Given this condition, location is possible using less than 2 GNSS satellites with fixed height. Solution condition is also discussed for this background using mode of constrained positioning. We finally suggest an effective predictive time span based on our test exploration under varied conditions.

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