• Title/Summary/Keyword: Relative bias

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Generalized Ratio-Cum-Product Type Estimator of Finite Population Mean in Double Sampling for Stratification

  • Tailor, Rajesh;Lone, Hilal A.;Pandey, Rajiv
    • Communications for Statistical Applications and Methods
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    • v.22 no.3
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    • pp.255-264
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    • 2015
  • This paper addressed the problem of estimation of finite population mean in double sampling for stratification. This paper proposed a generalized ratio-cum-product type estimator of population mean. The bias and mean square error of the proposed estimator has been obtained upto the first degree of approximation. A particular member of the proposed generalized estimator was identified and studied from a comparison point of view. It is observed that the identified particular estimator is more efficient than usual unbiased estimator and Ige and Tripathi (1987) estimators. An empirical study was conducted in support of the theoretical findings.

The Analytical Bias of Total Hydrocarbon (THC) Measurements in Relation to the Selection of Standard Gas Compound (총탄화수소의 계측에서 표준시료성분의 선택에 따른 오차 발생 연구)

  • Kim, Ki-Hyun
    • Journal of Korean Society for Atmospheric Environment
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    • v.26 no.4
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    • pp.449-452
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    • 2010
  • In this article, the performance of the THC analyzer was inspected using two different span gases of methane ($CH_4$) and propane ($C_3H_8$). To explore the effect of standard gas selection, MicroFID system was tested by the following procedures. Initially, the system is spanned by propane gas of 60 ppm (or 180 ppmC). The system is then run against methane standards prepared at 5 different concentrations of 200, 250, 300, 400, and 500 ppm. According to the suggestion of the KMOE's test procedure to use multiplying a factor of 3 (for propane), the resulting THC values derived by methane standards were systematically biased with ~500% error relative to true value. This paper discusses the interpretation procedures to obtain the least biased THC values for a given span set-up.

A Dual Problem of Calibration of Design Weights Based on Multi-Auxiliary Variables

  • Al-Jararha, J.
    • Communications for Statistical Applications and Methods
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    • v.22 no.2
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    • pp.137-146
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    • 2015
  • Singh (2013) considered the dual problem to the calibration of design weights to obtain a new generalized linear regression estimator (GREG) for the finite population total. In this work, we have made an attempt to suggest a way to use the dual calibration of the design weights in case of multi-auxiliary variables; in other words, we have made an attempt to give an answer to the concern in Remark 2 of Singh (2013) work. The same idea is also used to generalize the GREG estimator proposed by Deville and S$\ddot{a}$rndal (1992). It is not an easy task to find the optimum values of the parameters appear in our approach; therefore, few suggestions are mentioned to select values for such parameters based on a random sample. Based on real data set and under simple random sampling without replacement design, our approach is compared with other approaches mentioned in this paper and for different sample sizes. Simulation results show that all estimators have negligible relative bias, and the multivariate case of Singh (2013) estimator is more efficient than other estimators.

ANALYSIS OF THE MUTUAL SELF-BIASED SHIELDED MAGNETO-RESISTIVE HEAD WITH TRANSMISSION-LINE MODEL(I)

  • Zhang, H.W.;Kim, H.J.
    • Journal of the Korean Magnetics Society
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    • v.5 no.4
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    • pp.294-298
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    • 1995
  • A shielded magnetoresistive (SMR) head which has double MR films and linearizes each other has been designed and studied by applying the transmission-line model. We have analyzed the yoke efficiency, bias efficiency and read efficiency of the SMR head. The read efficiency strongly depends on the height of the sensor and slightly on the other geometric parameters. The yoke and bias efficiencies vary with gap length, insulated layer thickness and relative permeability. A quasi-index reduction in the signal flux is observed when the displacement moves away from the medium.

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AC dielectric response of poly(p-phenylenevinylene) light emitting devices (주파수 의존성에 따른 고분자 LED의 유전 분산 거동에 관한 연구)

  • 이철의;김세헌;장재원;김상우
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.11a
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    • pp.149-152
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    • 2000
  • AC impedance measurements on poly-p-phenylenevinylene (PPV) LEDs in the frequency range between 10 Hz and 10$\^$6/ Hz were carried out. The complex-plane impedance spectra indicate that PPV devices can be represented by equivalent circuits that corresponds to the bulk and interfacial regions at high and low frequencies, respectively. As a result of complex impedance analysis through the separation of bulk and interfacial region impedances, increase of forward bias in Al/PPV/ITO devices gave rise to relative decrease of the interfacial region impedance. Above the electric field of 10$\^$6/ V/cm the PPV device showed a space charge limited current (SCLC) conduction. The dependence of the transport mechanism and dielectric properties on the applied bias voltage is discussed.

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On simple estimation technique for the reliability of exponential lifetime model

  • Al-Hemyari, Z.A.;Al-Saidy, Obaid M.;Al-Ali, A.R.
    • International Journal of Reliability and Applications
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    • v.14 no.2
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    • pp.79-96
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    • 2013
  • Exponential distribution plays a key role in engineering reliability and its applications. The exponential failure model has been studied for years. This article introduces two new preliminary test estimators for the reliability function (R(t)) in complete and censored samples from the exponential model with the use of a prior estimation (${\theta}_0$) of the mean (${\theta}$). The proposed preliminary test estimators are studied and compared numerically with the existing estimators. Computer-intensive calculations for bias and relative efficiency show that for, different values of levels of significance and for varying constants involved in the proposed estimators, the proposed estimators are far better than classical and existing estimators.

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Applying Nonlinear Mixed-effects Models to Taper Equations: A Case Study of Pinus densiflora in Gangwon Province, Republic of Korea (비선형 혼합효과 모형의 수간곡선 적용: 강원지방 소나무를 대상으로)

  • Shin, Joong-Hoon;Han, Hee;Ko, Chi-Ung;Kang, Jin-Taek;Kim, Young-Hwan
    • Journal of Korean Society of Forest Science
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    • v.111 no.1
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    • pp.136-149
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    • 2022
  • In this study, the performance of a nonlinear mixed-effects (NLME) model used to estimate the stem taper of Pinus densiflora in Gangwon Province was compared with that of a nonlinear fixed-effects (NLFE) model using several performance measures. For the diameters of whole tree stems, the NLME model improved on the performance of the NLFE model by 26.4%, 42.9%, 43.1%, and 0.9% in terms of BIAS, MAB, RMSE, and FI, respectively. For the cross-section areas of whole tree stems, the NLME model improved on the performance of the NLFE model by 67.7%, 44.7%, 45.8%, and 1.0% in terms of BIAS, MAB, RMSE, and FI, respectively. Based on the analysis of 12 relative height classes of tree stems, stem taper estimation performance was also reasonably improved by the NLME model, which showed better MAB, RMSE, and FI at every relative height class compared with those of the NLFE model. In some classes, the NLFE model had better BIAS than the NLME model (stem diameter: 0.05, 0.2, 0.3, and 0.8; stem cross-section area: 0.05, 0.3, 0.5, 0.6, and 1.0). However, the NLME model enhanced the performance of stem diameter and cross-section area estimations at the lowest stem part (0.2 m from the ground). Improvements for stem diameter in terms of BIAS, MAB, RMSE, and FI were 84.2%, 69.8%, 68.7%, and 3.1%, respectively. For stem cross-section areas, the improvements in BIAS, MAB, RMSE, and FI were 98.5%, 70.1%, 68.7%, and 3.1%, respectively. The cross-section area at 0.2 m from the ground occupied 22.7% of total cross-section area. Improvements in estimation of cross-section area at the lowest stem part indicate that stem volume estimation performance could also be enhanced. Although NLME models are more difficult to fit than NLFE models, the use of NLME models as a standard method for the estimating the parameters of stem taper equations should be considered.

Measuring the Relative Risk Aversion Coefficients of Apple Farmers (사과 농가의 상대위험회피계수 추정)

  • Lin, Qing-Long;Yeo, Jun-Ho;Kim, Tae-Kyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.2
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    • pp.1036-1044
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    • 2015
  • This paper estimates the relative risk aversion coefficients of apple farmers. Two hypothetical situations are designed and two-stage questionnaires are conducted for each situation. A utility function that has constant relative risk aversion was used, and it was assumed that the relative risk aversion coefficients follow a log-normal distribution. To reduce the hypothetical bias, the data was collected from repetitive questions. As a result, the mean and standard deviation of the relative risk aversion coefficients of apple farmers was 10.915 and 7.516, respectively. The relative risk aversion coefficients conditional on a survey response in each category were also measured. These findings can be used as parameters to analyze the effects of risk management tools.

Relative RPCs Bias-compensation for Satellite Stereo Images Processing (고해상도 입체 위성영상 처리를 위한 무기준점 기반 상호표정)

  • Oh, Jae Hong;Lee, Chang No
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.36 no.4
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    • pp.287-293
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    • 2018
  • It is prerequisite to generate epipolar resampled images by reducing the y-parallax for accurate and efficient processing of satellite stereo images. Minimizing y-parallax requires the accurate sensor modeling that is carried out with ground control points. However, the approach is not feasible over inaccessible areas where control points cannot be easily acquired. For the case, a relative orientation can be utilized only with conjugate points, but its accuracy for satellite sensor should be studied because the sensor has different geometry compared to well-known frame type cameras. Therefore, we carried out the bias-compensation of RPCs (Rational Polynomial Coefficients) without any ground control points to study its precision and effects on the y-parallax in epipolar resampled images. The conjugate points were generated with stereo image matching with outlier removals. RPCs compensation was performed based on the affine and polynomial models. We analyzed the reprojection error of the compensated RPCs and the y-parallax in the resampled images. Experimental result showed one-pixel level of y-parallax for Kompsat-3 stereo data.

A Preliminary Analysis on the Radiometric Difference Across the Level 1B Slot Images of GOCI-II (GOCI-II Level 1B 분할영상 간의 복사 편차에 대한 초기 분석)

  • Kim, Wonkook;Lim, Taehong;Ahn, Jae-hyun;Choi, Jong-kuk
    • Korean Journal of Remote Sensing
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    • v.37 no.5_2
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    • pp.1269-1279
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    • 2021
  • Geostationary Ocean Color Imager II (GOCI-II), which are now operated successfully since its launch in 2020, acquires local area images with 12 Level 1B slot images that are sequentially acquired in a 3×4 grid pattern. The boundary areas between the adjacent slots are prone to discontinuity in radiance, which becomes even more clear in the following Level 2 data, and this warrants the precise analysis and correction before the distribution. This study evaluates the relative radiometric biases between the adjacent slots images, by exploiting the overlapped areas across the images. Although it is ideal to derive the statistics from humongous images, this preliminary analysis uses just the scenes acquired at a specific time to understand its general behavior in terms of bias and variance in radiance. Level 1B images of February 21st, 2021 (UTC03 = noon in local time) were selected for the analysis based on the cloud cover, and the radiance statistics were calculated only with the ocean pixels. The results showed that the relative bias is 0~1% in all bands but Band 1 (380 nm), while Band 1 exhibited a larger bias (1~2%). Except for the Band 1 in slot pairs aligned North-South, biases in all direction and in all bands turned out to have biases in the opposite direction that the sun elevation would have caused.