• Journal of the Korean Statistical Society
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• v.23 no.2
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• pp.303-323
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• 1994

In this paper, distribution of Votaw's $\lambda_1$(mvc) criterion has been obtained using inverse Mellin transform, residue theorem and properties of special functions.

• Kyungpook Mathematical Journal
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• v.48 no.3
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• pp.411-417
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• 2008

In the present paper we derive the distribution of single order statistics, joint distribution of two order statistics and the distribution of product and quotient of two order statistics when the independent random variables are from continuous Kumaraswamy distribution. In particular the distribution of product and quotient of extreme order statistics and consecutive order statistics have also been obtained. The method used is based on Mellin transform and its inverse.

• Journal of the Korean Statistical Society
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• v.13 no.2
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• pp.73-80
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• 1984

In this paper, likelihood-ratio test has been derived for testing multisample sphericity in complex multivariate Gaussian populations. The $h^{th}$ moment of the test statistic is given and its exact distribution has been derived using inverse Mellin transform. Asymptotic distribution of the statistic is also given.

• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.515-525
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• 2018

In this paper, we investigate a modified $G^2$ transform on a class of Boehmians. We prove the axioms which are necessary for establishing the $G^2$ class of Boehmians. Addition, scalar multiplication, convolution, differentiation and convergence in the derived spaces have been defined. The extended $G^2$ transform of a Boehmian is given as a one-to-one onto mapping that is continuous with respect to certain convergence in the defined spaces. The inverse problem is also discussed.

• Journal of the Institute of Electronics and Information Engineers
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• v.49 no.10
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• pp.91-101
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• 2012

DNA watermarking have been interested for both the security of private genetic information or huge DNA storage information and the copyright protection of GMO. Multimedia watermarking has been mainly designed on the basis of frequency domain, such as DCT, DWT, FMT, and so on, for the robustness and invisibility. But a frequency domain watermarking for coding DNA sequence has a considerable constraint for embedding the watermark because transform and inverse transform must be performed without completely changing the amino acid sequence. This paper presents a coding sequence watermarking on lifting based DWT domain and brings up the availability of frequency domain watermarking for DNA sequence. From experimental results, we verified that the proposed scheme has the robustness to until a combination of 10% point mutations, 5% insertion and deletion mutations and also the amino preservation and the security.