• Communications of the Korean Mathematical Society
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• v.34 no.4
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• pp.1335-1352
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• 2019

In this article, a new family of lifetime distributions by adding two additional parameters is introduced. The new family is called, the logarithmic Kumaraswamy family of distributions. For the proposed family, explicit expressions for some mathematical properties are derived. Maximum likelihood estimates of the model parameters are also obtained. This method is applied to develop a new lifetime model, called the logarithmic Kumaraswamy Weibull distribution. The proposed model is very flexible and capable of modeling data with increasing, decreasing, unimodal or modified unimodal shaped hazard rates. To access the behavior of the model parameters, a simulation study has been carried out. Finally, the potentiality of the new method is proved via analyzing two real data sets.

• Proceedings of The Korean Cleft Lip And Palate Association
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• 1997.06a
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• pp.47-47
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• 1997

• Journal of the Korean Statistical Society
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• v.28 no.1
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• pp.35-44
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• 1999

We derive a new upper bound of convolution type for the median-unbiased estimators with respect to an arbitrary unimodal utility functions. We also obtain the necessary and sufficient condition for the attainability of the information bound. Applications to general MLR(Monotone Likelihood Ratio) model and censored survival data re discussed as examples.

• Journal of the korean Society of Automotive Engineers
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• v.11 no.2
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• pp.24-33
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• 1989

본 고에서는 이러한 추세에 따라서, 보다 효율적인 optimization program에 대해서 소개하고자 한다. 사용한 최적화 알고리즘은 ALM(augmented lagrange multiplier) 방법을 적용해서 구속조건이 있는 문제를 구속조건이 없는 문제로 변환한 후, self-scaling BFGS(broydon-flecher-goldfarb-schanno)를 적용한다. BFGS의 각 descent 방향에서의 step 길이는, sequential search로 unimodal point를 구해서, golden section 방법으로 refine을 한후, cubic approximation을 적용해서 구한다.

• Bulletin of the Korean Chemical Society
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• v.18 no.6
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• pp.600-603
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• 1997

Spherical, submicrometer particles of barium-titanyl oxalate were homogeneously precipitated by thermal decomposition of diethyl oxalate in acidic aqueous solutions. The rates of oxalate ion generations, determined by various combinations of temperature and initial concentration of diethyl oxalate had a very important effect on the particle size distribution. Monosized, bimodal, or broad unimodal powders were obtained under certain combinations of experimental variables.

• 한국해양학회지
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• v.26 no.1
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• pp.38-46
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• 1991

size data of 1,044 surface sediments from Korean shelf area were compiled and reexamined. Size distribution curves of the sediments are unimodal (31% of the total number), bimodal (54%), or multimodal 915%), Size curves of the sediments and modal subpopulations of the mixed sediments show resemblance to normal curve in shape. The modal mean value shows systematic change along a direction inside the Recent mud belts of the southeastern Yellow Sea and west of Korea Strait. It was found that the areas covered by unimodal sand are minimal value areas of heavy metal and suspended sediment-concentration in the southeastern Yellow Sea and northern East China transport processes during Recent time. It was also found that the mode analysis is useful method to extract information from sediment size data.

• Journal of Preventive Medicine and Public Health
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• v.23 no.2 s.30
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• pp.194-200
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• 1990

The paraoxonase (E. C. 3.1.1.2) is a major enzyme to detoxicate the organophosphorus and carbamate which are the most widely used as the agricultural spraying insecticides. To investgate the distributions of plasma paraoxonase activity and the factors affecting the enzyme activity, the plasmas of 945 Korean rural population were analysed with the modified Krisch's direct sphectrphotometry method. Three indices of the enzyme activity - basal activity, stimulated activity (by NaCl), % stimulation - were obtained from the analysis. Three indicies suggested unimodal distributions, so we couldn't identify the low activity group risk group to organophosphorus & carbamate insecticides poisoning. There is no significant relation between 3 actvity indicies and sex, age, or history of insecticide use (p>0.05). The basal activity and the stimulated activity have significant relationship and high coefficient of determination with the activities of their parents ($r^2$=0.30, 0.24 ; p<0.05), but the % stimulation does not ($r^2$=0.02 ; p<0.05). These results suggest that the activity of paraoxonase is determined mainly by the genetic factor.

• The Bulletin of The Korean Astronomical Society
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• v.35 no.2
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• pp.27.1-27.1
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• 2010

Globular cluster (GC) systems in most galaxies, particularly in ellipticals, show bimodal color distributions. Because broadband colors trace metallicity at old ages, this phenomenon has been commonly interpreted as bimodal metallicity distributions, implying the presence of two sub-populations in the globular cluster system within a galaxy. However, a new explanation has recently been proposed, in which the non-linear nature of color-metallicity relations induced by horizontal-branch stars can produce bimodal color distributions even from unimodal metallicity distributions. In this study, we put these two explanations to the test on the origin of color bimodality, using multi-band (U,B,V and I) photometry of globular clusters in NGC 1399, the central giant elliptical galaxy in Fornax galaxy cluster. We find significant changes in the morphology of color distributions when using different colors. The observation is also well reproduced by the Monte Carlo realization of GC color when a unimodal metallicity distribution and the theoretical non-linear color-metallicity relations are assumed. We discuss the implications regarding theories on galaxy formation and evolution.

• Journal of the Korean Mathematical Society
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• v.54 no.5
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• pp.1379-1410
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• 2017

Kang and Ko introduced a skew-symmetrizable matrix to describe a structure theorem for complete intersections of grade 4. Let $R=k[w_0,\;w_1,\;w_2,\;{\ldots},\;w_m]$ be the polynomial ring over an algebraically closed field k with indetermiantes $w_l$ and deg $w_l=1$, and $I_i$ a homogeneous perfect ideal of grade 3 with type $t_i$ defined by a skew-symmetrizable matrix $G_i(1{\leq}t_i{\leq}4)$. We show that for m = 2 the Hilbert function of the zero dimensional standard k-algebra $R/I_i$ is determined by CI-sequences and a Gorenstein sequence. As an application of this result we show that for i = 1, 2, 3 and for m = 3 a Gorenstein sequence $h(R/H_i)=(1,\;4,\;h_2,\;{\ldots},\;h_s)$ is unimodal, where $H_i$ is the sum of homogeneous perfect ideals $I_i$ and $J_i$ which are geometrically linked by a homogeneous regular sequence z in $I_i{\cap}J_i$.

• Animal cells and systems
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• v.8 no.4
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• pp.319-328
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• 2004

Extrinsic connections between the cortex of the superior temporal sulcus (STS) and the ventral striatum in pigtail macaque monkeys (Macacca nemestrina) were studied by injection of retrograde tracers into the ventromedial caudate nucleus, the ventral and central shells of the nucleus accumbens (NA), the dorsal core of the NA, and the ventrolateral putamen. In the present study, we demonstrate that the projections from the unimodal (area TAa, IPa, TEa, and TEm) and the multimodal (area TPO and PGa) sensory association areas in the STS mainly terminate in the ventromedial caudate nucleus as well as in the ventral and central shells of the NA. However, there are only few projections to the dorsal core of the NA and the ventrolateral putamen from the sensory association cortex in the STS. Based on these differential neural connections between the subterritories of the ventral striatum and the sensory association areas, the ventromedial caudate nucleus and the shells of NA appear to be major integration sites for sensory input from the STS and functionally different from the dorsal core of NA and the ventrolateral putamen.