  A new family of compound Poisson distribution functions from statistical
linguistic is used to study the n-tuples and nucleotide composition features of
DNA sequences. The relative frequency distribution of the 6-tuples and 7-
tuples occurrence studies suggest that most of the DNA sequences follow the
general shape of the compound Poisson distribution. It is also noted that the
$\chi$-square test indicated that some of the sequences follow this
distribution with a reasonable level of goodness of fit. The compositional
segmentation study fits quite well using this new family of distribution
functions. Furthermore, the absolute values of the relative frequency come out
naturally from the linguistic model without ambiguity. It is suggesting that
DNA sequences are not random sequences and they could possibly have subsequence
structures.
