Limiting distribution of the number of clumps of palindromes in DNA (CROSBI ID 228494)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Špoljarić, Drago ; Ugrina, Ivo
engleski
Limiting distribution of the number of clumps of palindromes in DNA
An important aspect in the analysis of long DNA sequences is to identify whether palindromes are over- or under-represented. The essential step in that direction is the analysis of the limiting distribution of the number of clumps of palindromes where clump is defined as the overlapping occurrence of palindromes. Using the Chen-Stein method it is shown in this paper that the limiting distribution, under suitable conditions and a type of heterogeneous sequence, is the Poisson distribution. Moreover, error bounds and the rate of convergence are derived in terms of total variation distance between two probability distributions.
palindromes in DNA ; m-dependent sequence ; Chen-Stein method ; Poisson distribution
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Podaci o izdanju
46 (17)
2017.
8748-8759
objavljeno
0361-0926
1532-415X
10.1080/03610926.2016.1189573
Povezanost rada
Biologija, Matematika