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On Statistical Properties of Palindromes in DNA

The main aim of this article is to determine the distribution of the number of palindromes of a fixed length in a DNA sequence. Palindrome in DNA is a part of the DNA sequence which is equal to its complementary sequence read backwards (C ∼ G, A ∼ T). We examine the general case where the distribution of the nucleobases is arbitrary. Further, we determine conditions in which Normal approximation can be used. Special attention is given to coding and non-coding regions in DNA and to the distribution of bases in those parts of DNA.

Central limit theorem; m-dependent sequence; Normal distribution; Palindromes in DNA; Poisson distribution

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