• Journal of the Chungcheong Mathematical Society
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• v.21 no.1
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• pp.99-106
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• 2008

In this paper, we establish some recurrence relations which is satisfied by the quotient moments of the lower record values from the standard generalized extreme value (GEV) distribution.

• Bulletin of the Korean Mathematical Society
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• v.52 no.3
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• pp.717-734
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• 2015

In this paper, we provide a classification of arithmetic functions in terms of identically-free-distributedness, determined by a fixed prime. We show then such classifications are free from the choice of primes. In particular, we obtain that the algebra $A_p$ of equivalence classes under the quotient on A by the identically-free-distributedness is isomorphic to an algebra $\mathbb{C}^2$, having its multiplication $({\bullet});(t_1,t_2){\bullet}(s_1,s_2)=(t_1s_1,t_1s_2+t_2s_1)$.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.11 no.10
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• pp.3833-3838
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• 2010

Brainwave can be the most effective means of detecting the state of the brain that changes moment by moment. Since brain has closed relations with hormones which are a foundation of metabolism, it needs to examine closely the mutual relationship between brainwave and hormone. We examined the possibility to find out such information about metabolism by comparing brainwave with cortisol hormone. The major variables are anti-stress quotient of brainwave and cortisol density which give stress information of the working women, to measure from March 3 to May 28, 2007. To find out the relationship between them, we performed such statistical analysis about the before and after of brainwave training as t-test, correlational analysis and regression analysis. We obtained following results: First, considerable changes of variables is shown by brain-wave training. Second, there exist a correlation between variables. Third, according to regression analysis, influence between variables is verified. Thus, we found that stress information of hormone analytical level can be obtined only through brainwave analysis.

• Journal of the Korean Data and Information Science Society
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• v.20 no.1
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• pp.219-223
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• 2009

We shall derive a quotient distribution of two independent gamma variables and its moment and reliability are represented by hypergeometric function and Wittaker's function. And we shall consider an inference on the reliability in two independent gamma random variables.

• Journal of the Korean Mathematical Society
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• v.60 no.1
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• pp.115-141
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• 2023

We study a class of left-invariant pseudo-Riemannian Sasaki metrics on solvable Lie groups, which can be characterized by the property that the zero level set of the moment map relative to the action of some one-parameter subgroup {exp tX} is a normal nilpotent subgroup commuting with {exp tX}, and X is not lightlike. We characterize this geometry in terms of the Sasaki reduction and its pseudo-Kähler quotient under the action generated by the Reeb vector field. We classify pseudo-Riemannian Sasaki solvmanifolds of this type in dimension 5 and those of dimension 7 whose Kähler reduction in the above sense is abelian.