• Communications for Statistical Applications and Methods
• /
• v.4 no.2
• /
• pp.507-514
• /
• 1997

Three kinds of unbiased estimators of standard deviation in a truncated arcsine distribution based on the quasi-range, the jackknife quasi-range, and the angle jackknife range are proposed and numerically compared each other in a sense of MSE.

• Journal of the Korean Data and Information Science Society
• /
• v.14 no.3
• /
• pp.715-723
• /
• 2003

A tandem network in which all nodes have the same load is considered. We derive bounds on the probability that the total population of the tandem network exceeds a large value by using its relation to the stationary distribution. These bounds imply a stronger asymptotic limit than that in the large deviation theory.

• Korean Journal of Mathematics
• /
• v.7 no.2
• /
• pp.301-313
• /
• 1999

In this paper we obtain similar limit theorems of the Generalized Curie - Weiss model for a new class Hamiltonian. We expressed the saddlepoint approximation by large deviation rate and then obtain the limit theorems.

• East Asian mathematical journal
• /
• v.24 no.3
• /
• pp.275-287
• /
• 2008

In this paper, using large deviation results for Gaussian processes, we establish some functional limit theorems for increments of a fractional Brownian motion in the usual sup-norm via estimating large deviation probabilities for increments of a fractional Brownian motion.

• Communications of the Korean Mathematical Society
• /
• v.15 no.2
• /
• pp.379-390
• /
• 2000

In this paper the limit theorems on lag increments of a Wiener process due to Chen, Kong and Lin [1] are developed to the case of a Gaussian process via estimating upper bounds of large deviation probabilities on suprema of the Gaussian process.

• Geophysics and Geophysical Exploration
• /
• v.23 no.4
• /
• pp.243-252
• /
• 2020

To share an understanding of trajectory measurement in surveys using borehole, this tutorial summarizes the relevant mathematical principles of the borehole deviation survey based on coordinate transform. For uncased or open holes, calculations of the azimuth-deviation-tool face rotation using three-component accelerometer and magnetometer measurements are summarized. For the steel-cased holes, calculations are based on the time-derivative formula of the coordinate transform matrix; yaw-pitch-roll angles through time are mathematically determined by integrating the threecomponent angular velocity measurements from the gyroscope while also removing the Earth's rotation effect. Sensor and data fusion to increase the accuracy of borehole deviation survey is explained with an example of the method. These principles of borehole deviation surveys can be adapted for attitude estimation in air-borne surveys or for positioning in tunnels where global positioning system (GPS) signals cannot be accessed. Information on the optimization filter that must be incorporated in sensor fusion is introduced to help future research.

• Progress in Medical Physics
• /
• v.14 no.1
• /
• pp.28-33
• /
• 2003

The aim of the study was to assess the isocenter deviation between multiple arcs and conformal beams in frameless FSRT. Forty seven patients received single isocenter radiosurgery or therapy (SRS/T) using available framelss FSRT system from Aug. 1997 to Dec. 2m. In choosing multiple arc FSRT or conformal FSRT, we had considered one of two techniques with respect to tumor size and tumor shape. In multiple arc FSRT, the average and standard deviation (SD) of the isocenter deviation was 0.2 mm (SD 0.2 mm), 0.2 mm (SD 0.2) and 0.3 mm (SD 0.2 mm)in the lateral (x), anterior-posterior (y) and cranio-caudal directions (z). In conformal FSRT, the average deviation and SD of the isocenter deviation was 0.2 mm (SD 0.2 mm), 0.3 mm(0.2 mm) and 0.4 mm (SD 0.2 mm) in the x, y and z directions. The average spacial deviation ($\Delta$r) was 0.41 mm and 0.54 mm in multiple arcs and conformal beams, respectively. The isocenter deviation using frameless FSRT system was similar value between multiple arcs and conformal beams. In practice, we believed we can select the appropriate treatment technique according to tumor shape and size.

• Korean Journal of Applied Biomechanics
• /
• v.21 no.3
• /
• pp.369-382
• /
• 2011

The purpose of this study was to verify the validation of exercise effect with loading deviation during rowing exercise. We performed evaluation of based physical fitness and joint torque before the experiment for finding muscle unbalance. So we recruited twenty four subjects who have bigger muscle strength in more 20% than average one. Subjects divided two groups. One is dominant upper limbs(DU) and the other was dominant lower limbs(DL). Subjects performed rowing exercise using electric equipment (Robo.gym.Humonic.korea). Exercise is performed four sets a day including 25 times a set, and three days a week. Measurement consist of evaluation of based physical fitness and joint torque using biodex(biodex system3.USA). Evaluation of exercise effect performed each week in joint torque of shoulder, lumbar and knee joint and each month in based physical fitness. Also we adapted 30% of 1RM for muscular endurance and 70% of 1RM for muscle strength as exercise load. The results showed that the difference of maximal peak torque were getting increase significantly during exercise. Also difference of various factor in based physical fitness were getting increase significantly except flexibility and agility. This interpreted that rowing exercise with loading deviation types could provide muscle strength and muscular endurance exercise in same time. These results could be interpret to two ways. One is effect of improving physical fitness for rowing exercise and the other meaned validation of loading deviation in rowing exercise. Our study is going to verify the validation of loading deviation during rowing and we found out that loading deviation could provide muscle strength and muscular endurance exercise for improving muscle unbalance. Our study can be used development of exercise equipment and program for normal people with muscle unbalance. Also that provide effect of whole body exercise to anybody.

• Journal of Intelligence and Information Systems
• /
• v.22 no.2
• /
• pp.115-125
• /
• 2016

The Bollinger Band indicating the current price position in the recent price action range is obtained by adding/substracting the simple standard deviation (SSD) to/from the simple moving average (SMA). In this paper, we first compare the characteristics of the SMA and the exponential moving average (EMA) in the operator's point of view. A basic equation is obtained between the interval length N of the SMA operator and the weighting factor ${\rho}$ of the EMA operator, that makes the centers of the 1st order momentums of each operator impulse respoinse identical. For equivalent N and ${\rho}$, frequency response examples are obtained and compared by using the discrete time Fourier transform. Based on observation that the SMA operator reacts more excessively than the EMA operator, we propose a novel exponential standard deviation (ESD) band centered at the EMA and derive an auto recursive formula for the proposed ESD band. Practical examples for the ESD band show that it has a smoother bound on the price action range than the Bollinger Band. Comparisons are also made for the gap corrected chart to show the advantageous feature of the ESD band even in the case of gap occurrence. Trading techniques developed for the Bollinger Band can be straight forwardly applied to those for the ESD band.

• Journal of Sericultural and Entomological Science
• /
• v.3
• /
• pp.61-67
• /
• 1963

This report is prepared to find how the filament of cocoon bave size deviation relates with the raw silk made by them which are intensively cultured in this country. Three recommended hybrid varieties and two varieties under working at Suwon Sericultural Experiment Station were selected as specimens. The cocoons were reeled as an individual filament of every fifty meters long skein with a wrap reel to weigh the denier and to investigate the relationship of the above statement so that it may be used for the quality estimation before processing it into raw silk. The conclusions obtained are as follows. (1) The variation of Pk${\times}$Sn was found as best cocoon for 21 denier raw silk use, but the number of cocoon to make the denier has to be eight which might cause more labor cost. (2) Baektoo-Kumkang and Myohiang-Chongchon were found as economical varieties for 21 denier use. (3) Seulak-Soyang is a proper variety for the use of 14 or 28 denier silk use. (4) Myohiang-Chongchon did not confirm a good property from the aspect of denier deviation. (5) It was found that there was a fairly strong corelationship between the mean cocoon bave size deviation as indicated by Ono's report. (6) Three graphs were prepared to estimate the cocoon quality before processing into various sizes of raw silk using the mean cocoon bave size and the raw silk size to be prepared. (7) Mean time, the graph which is able to estimate the expectable grade of the raw silk size deviation was designed for the practical use. (8) The expectable grade of the varieties used in this report were found as following data. Notice (A......cocoon number to make raw silk (B......total cocoon bave size deviation (C......expectable silk grade (9) The result of the work concerning the expectable denier deviation on 21 denier silk was the same with the statistical actual testing result as 1.25 D while the distribution showed farther necessity of improvement in technically.