• International Journal of Contents
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• v.2 no.2
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• pp.17-24
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• 2006

The work presented in this paper is divided into two parts. The first part presents finite urn problems which generate truncated negative binomial random variables. Some combinatorial identities that arose from the negative binomial sampling and truncated negative binomial sampling are established. These identities are constructed and serve important roles when we deal with these distributions and their characteristics. Other important results including cumulants and moments of the distributions are given in somewhat simple forms. Second, the distributions of the maximum of two chi-square variables and the distributions of the maximum correlated F-variables are then derived within the negative binomial sampling scheme. Although multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information and deeper insight regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of these distributions. We supplement our findings with exact simple computational methods where no interpolations are involved.

• Journal of Digital Convergence
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• v.11 no.3
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• pp.95-100
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• 2013

K-POP is getting population at the all over the world. K-POP is based on the hook song that made using repetitive lyrics and melody. The characteristics of the music is a bit simple and cheerful rhythm and melody easy to sing along, interesting lyrics and great dance skills. K-POP is spreading to various countries via various social networking services such as YouTube, Facebook, Twitter. K-POP dominated by the digital music market, showed a growing tendency to shorten the length of music, to create a music that can give a strong impression. And 60 second pre-listening function increased music used the chorus in the first part. But it was generated the result that made obscures the configuration of the music and the meaning of the lyrics. In this paper, we study the characteristics of K-POP music and will present three directions of the hook song music production. Finally, we compared to Kangnamstyle of Psy using the proposed three standards.