• Journal of the Korean Data and Information Science Society
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• 제20권3호
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• pp.577-585
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• 2009

So far in a nonparametric regression model one of the interesting problems is estimating the error variance. In this paper we propose an estimator of the mean of the squared functions which is the numerator of SNR (Signal to Noise Ratio). To estimate SNR, the mean of the squared function should be firstly estimated. Our focus is on estimating the amplitude, that is the mean of the squared functions, in a nonparametric regression using a simple linear regression model with the quadratic form of observations as the dependent variable and the function of a lag as the regressor. Our method can be extended to nonparametric regression models with multivariate functions on unequally spaced design points or clustered designed points.

• Journal of the Korean Society of Fisheries and Ocean Technology
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• 제12권1호
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• pp.7-12
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• 1976

The optical properties of the sea water were studied by use of underwater photometers in the coastal waters of Busan, from December 1975 to May 1976. The absorption coefficient of the sea water in the area ranged from 0.223 to 0.901 and the mean was 0.355. Maximum valae of monthly mean was 0.454 in December, while the minium was 0.301 in January. The transparency in winter was higher than that in spring and the mean was 4. 7 meters. The relation between absorption coefficient (m) and transparency (D) was m= 1. 67/ D. The rate of light penetration at 5 m-layer in the area ranged from 1. 73 to 24.09 percent and the mean was 13.63 percent, while the rate at 10 m-layer ranged from 0.067 to 8.05 percent and the mean was 2.95 percent.

• Journal of the Korean Society of Fisheries and Ocean Technology
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• 제14권1호
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• pp.37-41
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• 1978

Optical properties were studied in the costal waters of the southern part of Korea based on twenty oceanographic stations from 1 st to 9 th February, 1977. Submarine daylight intensity was measured by using an underwater luxmeter (Toshiba No.9). Daylight intensity in the upper 30m depth layer was measured at 1 m depth interval. The absorption coefficient of the sea water in the area ranged from 0.101 to 2.539 (mean 0.578). The Secchi-disc depth in the area ranged from 0.8 to 13 meters (mean 5.33 meters). The relationship between absorption coefficient (K) and transparency (D) was k= 1. 704/ D. The mean water color in the area was 5. 75 (3-9) in Forel scales. The rates of light penetration for daylight at 1m layer in the area ranged from 13.18 to 82. 05% and the mean was 59.56%, while the rate at 5m layer ranged from 0.007 to 46.1% and the mean was 18.47%.

• Bulletin of the Korean Mathematical Society
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• 제31권2호
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• pp.215-236
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• 1994

The purpose of the present paper is to study generic submanifolds of a Sasakian space form with nonvanishing parallel mean curvature vector field such that the shape operator in the direction of the mean curvature vector field commutes with the structure tensor field induced on the submanifold. In .cint. 1 we state general formulas on generic submanifolds of a Sasakian manifold, especially those of a Sasakian space form. .cint.2 is devoted to the study a generic submanifold of a Sasakian manifold, which is not tangent to the structure vector. In .cint.3 we investigate generic submanifolds, not tangent to the structure vector, of a Sasakian space form with nonvanishing parallel mean curvature vactor field. In .cint.4 we discuss generic submanifolds tangent to the structure vector of a Sasakian space form and compute the restricted Laplacian for the shape operator in the direction of the mean curvature vector field. As a applications of these, in the last .cint.5 we prove our main results.

• Bulletin of the Korean Mathematical Society
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• 제50권1호
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• pp.233-240
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• 2013

In this paper, we use the elementary method and the theory of complex functions to study the computational problem of the fourth power mean of the generalized two-term exponential sums, and give two exact identities for them.

• Bulletin of the Korean Mathematical Society
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• 제50권2호
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• pp.451-458
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• 2013

The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind mean value of the generalized Kloosterman sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it.

• Journal of Korean Society for Quality Management
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• 제29권3호
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• pp.79-85
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• 2001

Estimation of the process deviation is an important problem in statistical process control, especially in the control chart, process capability analysis or measurement system analysis. In this paper we suggest the use of the Gini's mean difference for the estimation of the process deviation when we design the control limits in construction of the control charts. The efficiency of the Gini's mean difference was well explained in Nam, Lee and Jung(2000). In this paper we propose an $\overline{X}$ control chart which use the control limits based on the Gini's mean difference. In various classes of distributions, the proposed control chart shows food performance.

• Journal of Mechanical Science and Technology
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• 제17권11호
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• pp.1812-1819
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• 2003

This paper presents the effect of injection pressure on the atomization characteristics of high-pressure injector in a direct injection gasoline engine both experimentally and numerically. The atomization characteristics such as mean droplet size, mean velocity, and velocity distribution were measured by phase Doppler particle analyzer. The spray development, spray penetration, and global spray structure were visualized using a laser sheet method. In order to investigate the atomization process in more detail, the calculations with the LISA-DDB hybrid model were performed. The results provide the effect of injection pressure on the macroscopic and microscopic behaviors such as spray development, spray penetration, mean droplet size, and mean velocity distribution. It is revealed that the accuracy of prediction is promoted by using the LISA-DDB hybrid breakup model, comparing to the original LISA model or TAB model alone. And the characteristics of the primary and secondary breakups have been investigated by numerical approach.

• Journal of Korean Society of Industrial and Systems Engineering
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• 제23권58호
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• pp.113-118
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• 2000

Estimation of the process deviation is an important problem in statistical process control, especially in the control chart, process capability analysis or measurement system analysis. In this paper we suggest the use of the Gini's mean difference for the estimation of the c, the measure of the process deviation through a lots of simulations in various types of distributions. The Gini's mean difference uses the differences of all possible pairs of data. This point will improve the efficiency of estimation. In various classes of distributions, the Gini's mean difference shows good performance, in sense of bias of estimates or mean squared errors.

• Communications for Statistical Applications and Methods
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• 제14권3호
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• pp.667-677
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• 2007

In this paper, we propose a method for estimating the mean of a population which has a linear trend, when both n, the sample size, and k, the reciprocal of the sampling fraction, are odd numbers. The proposed method, not having the drawbacks of centered systematic sampling, centered modified sampling and centered balanced sampling, consists of selecting a sample by balanced systematic sampling and estimating the population mean by using interpolation. We compare the efficiency of the proposed method and existing methods under the criterion of the expected mean square error based on the infinite superpopulation model.