• Journal of the Korean Mathematical Society
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• v.35 no.1
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• pp.207-224
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• 1998

After the review of known results on the connections between selfsimilar processes with independent increments (processes of class L) and selfdecomposable distributions and between semi-selfsimilar processes with independent increments and semi-selfdecomposable distributions, dichotomy of those processes into transient and recurrent is discussed. Due to the lack of stationarity of the increments, transience and recurrence are not expressed by finiteness and infiniteness of mean sojourn times on bound sets. Comparison in transience-recurrence of the Levy process and the process of class L associated with a common distribution of class L is made.

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

• The Research Journal of the Costume Culture
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• v.10 no.5
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• pp.518-531
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• 2002

The purpose of this study was to research specific dimensional increments of grading and to support to establish a grading system according to the targets of women's wear manufacturers in Korea. For the questionnaire, 91 women's wear brands, which were in higher ranking of sales, were selected, and the age groups were separated into 3: 20's, 30's, and 40's & 50's, according to their customers. The graders of each brand were questioned about specific dimensional increments of grading fur this research. The results of the study were as follows: 1. Using the most common dimensional increments, 3.81cm(1 f inch) and 5.08cm(2 inch) for upper garments and lower garments, the modes of increments and reference increments for each garment section were suggested. 2. For upper garments, the brands for older women made larger increments of waist girth than for bust girth. This was to cover abdominal obesity. Also, the brands made larger increments of girth than for shoulder breadth. 3. For lower garments, the brands for older women made larger increments of waist girth than fur hip girth. It meant the drop value of hip girth minus waist girth was smaller. The breadths of front and back crotch were also wider.

• Journal of the Korean Mathematical Society
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• v.36 no.3
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• pp.509-525
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• 1999

In this paper we obtain sharp upper and lower bounds of samll ball and large deviation probabilities for the increments of Gaussian processes with stationary increments, whose results are essential to establish Chung type laws of iteratted logarithm.

• Journal of the Korean Society of Clothing and Textiles
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• v.29 no.8 s.145
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• pp.1146-1157
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• 2005

As individual family has fewer children, market sectors targeting children's goods upgrade their products quality and price. Children's wear used to be for casual activity or going to school. Recently, occasions in which children are dressed up are getting increase, such as wedding, concert or family gathering. Therefore, the industry sector of formal wears for school boys are growing. The purpose of this study is to research and grading of formal wears for school boys to improve their fit and comfort. The selected items as formal wear were tailored jacket, tuxedo, tail coat and pants. Based on the grading increments of the industry, grading was done far 7 years and 11 years old school boy for each item. Like the pattern alteration, grading increments were tested and altered through wearing tests. The final increments were suggested as the 'researched grading increments'. The results and conclusions are: 1. Appropriate size allowance, ease amount and lengths for boys are different from those far adults. The difference should be applied for boy's wear. 2. Grading increments for an age group are different from other age group. For example increments of 7 from 9 are different from that of 11 from 9. It is because a certain part grows faster during a certain age whereas other part grows faster during different period. Therefore grading for children should reflect their growth rather than same size increments which is common in adult size chart.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.22 no.1
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• pp.36-40
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• 1989

The eels, Anguilla japonica, were reared in a tank with daily feeding for up to 97 days, and otoliths were regularly collected for the observation of their microstructures. Microscopic observation of the thin-sectioned otolith under dark field provided significant information on daily growth increments as well as the difference in visual contrast shown by the increments. Clearly defined elver mark formed during the metamorphosis from leptocephalus to the elver can be considered as the origin of the age for the sedentary yellow eel in continental water. The close correspondence between the number of increments outside elver mark and chronological age in days from the beginning of feeding indicates that increment deposition on a daily basis was initiated with the start of feeding for the sedentary yellow eel. Either 7 or 14 daily growth increments were grouped together into 2 alternative units, each distinguished by prominent checks or by visual contrast. The absence of any apparent environmental variations with 7 or 14 day period in the reared tank implies that the phase of the moon could be a zeitgeber for the endogenous rhythm.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.4
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• pp.383-391
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• 2006

A characterization of Gaussian process with independent increments in terms of the support of covariance operator is established. We investigate the Girsanov formula for a Gaussian process with independent increments.

• Journal of the Korean Mathematical Society
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• v.42 no.6
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• pp.1215-1230
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• 2005

In this paper we establish some results on the increments of a d-dimensional Gaussian process with the usual Euclidean norm. In particular we obtain the law of iterated logarithm and the Book-Shore type theorem for the increments of ad-dimensional Gaussian process, via estimating upper bounds and lower bounds of large deviation probabilities on the suprema of the d-dimensional Gaussian process.

• Bulletin of the Korean Mathematical Society
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• v.35 no.2
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• pp.209-225
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• 1998

In this paper we obtain sharp upper and lower bounds of small ball oprobabilities for Gaussian processes with stationary increments, whose results are essential to estabilish Chung type laws of iterated logarithm.

• Journal of the Korean Mathematical Society
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• v.45 no.3
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• pp.821-834
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• 2008

Refinements of a variant of Jensen's inequality for functions with nondecreasing increments are presented. Obtained results are used to prove refinements of related variants of Cebysev's inequality and Holder's inequality.