• Journal of the Korean Data and Information Science Society
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• v.15 no.2
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• pp.413-422
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• 2004

Box-Cox power transformation is employed for analyzing volatilities in Korean financial time series such as KOSPI, KOSDAQ index and interest rates. Statistical procedures for Box-Cox transformed ARCH models are presented. For illustration, diverse financial time series data are analyzed and appropriate power transformations are suggested for each data.

• Honam Mathematical Journal
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• v.43 no.2
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• pp.221-237
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• 2021

B. C. Berndt has found modular transformation formulae for a large class of functions coming from generalized Eisenstein series. Using those formulae, he established a lot of infinite series identities, some of which explain many infinite series identities given by Ramanujan. Continuing his work, the author proved a lot of new infinite series identities. Moreover, recently the author found transformation formulae for a class of functions coming from generalized non-holomorphic Eisenstein series. In this paper, using those formulae, we evaluate a few new infinite series identities which generalize the author's previous results.

• Honam Mathematical Journal
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• v.26 no.3
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• pp.281-286
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• 2004

We calculate the harmonic series $E_{2p}:=^P\;_{^{\infty}_{n=1}}{\frac{1}{n^{2p}}$ via Waring's formula.

• Communications of the Korean Mathematical Society
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• v.24 no.4
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• pp.517-521
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• 2009

The object of this note is to derive Padmanabham's transformation formula for Exton's triple hypergeometric series $X_8$ by using a different method from that of Padmanabham's. An interesting special case is also pointed out.

• Kyungpook Mathematical Journal
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• v.18 no.2
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• pp.257-262
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• 1978

In this paper, we obtain two new double infinite series for the H-function of two variables, by which we also obtain a single infinite series involving the H-function of two variable3. On account of the most general nature of the H-functin of two variables, a number of related double infinite series for simpler functions follow as special cases of our results. As an illustration, we obtain here from one of our main series, the corresponding series for $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ function and Fox's H-function. A number of other series involving a very large, spectrum of special functions also follow as special cases of our main series but, we are not recording them here for want of space.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.3
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• pp.264-269
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• 2001

In this paper, we interpret a score as a time series and deal with the fuzzy logic-based modeling of it. The musical notes in a score represent a lot of information about the length of a sound and pitches, etc. In this paper, using melodies, tones and pitches in a score, we transform data on a score into a time series. Once more, we foml the new Lime series by sliding a window through the time series. For analyzing the time series data, we make use of the Box-Jenkins s time series analysis. On the basis of the identified characteristics of time series, we construct the fuzzy model.

• Communications for Statistical Applications and Methods
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• v.17 no.3
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• pp.377-390
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• 2010

In the case of time-series analysis, it is often more convenient to rely on the frequency domain than the time domain. Spectral density is the core of the frequency-domain analysis that describes autocorrelation structures in a time-series process. Possible ways to estimate spectral density are to compute a periodogram or to average the periodogram over some frequencies with (un)equal weights. This can be an attractive tool to measure the similarity between time-series processes. We employ the metrics based on a smoothed periodogram proposed by Park and Kim (2008) for the classification of different classes of time-series processes. We consider several lag windows with unequal weights instead of a modified Daniel's window used in Park and Kim (2008). We evaluate the performance under various simulation scenarios. Simulation results reveal that the metrics used in this study split the time series into the preassigned clusters better than do the raw-periodogram based ones proposed by Caiado et al. 2006. Our metrics are applied to an economic time-series dataset.

• Communications of the Korean Mathematical Society
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• v.37 no.2
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• pp.551-566
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• 2022

We apply Fourier-Legendre-based integration methods that had been given by Campbell in 2021, to evaluate new rational double hypergeometric sums involving ${\frac{{1}}{\pi}}$. Closed-form evaluations for dilogarithmic expressions are key to our proofs of these results. The single sums obtained from our double series are either inevaluable $_2F_1({\frac{4}{5}})$- or $_2F_1({\frac{1}{2}})$-series, or Ramanujan's ₃F₂(1)-series for the moments of the complete elliptic integral K. Furthermore, we make use of Ramanujan's finite sum identity for the aforementioned ₃F₂(1)-family to construct creative new proofs of Landau's asymptotic formula for the Landau constants.

• Korean Journal of Clinical Pharmacy
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• v.30 no.4
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• pp.226-233
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• 2020

Background: Currently, the over-the-counter (OTC) drug market is flooded with series OTC products. The pharmacist must follow the OTC product's indication, given that the most critical role of a pharmacist is the right selection and recommendation of an OTC drug for a patient's symptoms in a dynamic pharmacy environment. Therefore, pharmacists must know each OTC product information precisely to avoid any ambiguity due to several OTC series brand names. Objective: We evaluated the risk and effectiveness of OTC series medicines. Methods: From December 5 to December 18, 2019, an online survey was conducted among 145 community pharmacists. Results: A total of 51.0% of pharmacists knew the difference between products named in a series and could explain it spontaneously. Only 0.7% of the pharmacists admitted to not knowing the difference between products named in a series. While 42.9% of pharmacists who owned a pharmacy opined that the OTC medicines named in a series have health benefits for patients, 50.0% of employee pharmacists admitted that they were rather confused because there are several OTC series medicines. In contrast, 69.2% of pharmacists who owned pharmacies and 72.2% of employee pharmacists admitted that OTC series drugs with names similar to popular OTC drugs sell better. Conclusion: While pharmacists had different opinions regarding OTC series drugs per employment status, they opined that OTC series are more helpful in pharmacy management than completely new brand names. Further studies in this regard are needed.

• Korean Journal of Plant Taxonomy
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• v.43 no.3
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• pp.227-235
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• 2013

Molecular phylogenetic studies were conducted to evaluate taxonomic identities and relationships among 16 species of the korean genus Iris L. Korean Iris was grouped by five clades. Series Laevigatae, Tripetalae, Laevigatae and Sibiricae was included to Clade I. Series Chinensis, and Easatae was composed to Clade II. Series Chinensis was included to Clade III. Series Chinensis was composed to Clade IV. Series Crossiris, Pumilae and Pardanthopsis was included to Clade V. Iris dichotoma, I. mandshurica and I. tectorum formed one clade, and it was located mostly in the basal group. I. minutiaurea and I. koreana was not formed independent clade, so it is not clear between them about taxonomic identities. Iris tectorum was established taxonomic system by Series Cossiris in Subgenus Crossiris. Series Chinensis (I. odaesanensis, I. minutiaurea, I. koreana, I. rossii var. latifoia, and I. rossii) was distinguished is clear by Series Chinensis (I. odaesanensis, I. minutiaurea and I. koreana) and Series Chinensis (I. rossii var. latifoia and I. rossii). The Genus Iris was divided into four subgenus (Limniris, Crossiris, Iris and Pardanthopsis). We thought that evolved to subgenus Limniris in subgenus Crossiris, iris and Pardanthopsis.