  We study the primary DNA structure of four of the most completely sequenced
human chromosomes (including chromosome 19 which is the most dense in coding),
using Non-extensive Statistics. We show that the exponents governing the decay
of the coding size distributions vary between $5.2 \le r \le 5.7$ for the short
scales and $1.45 \le q \le 1.50$ for the large scales. On the contrary, the
exponents governing the decay of the non-coding size distributions in these
four chromosomes, take the values $2.4 \le r \le 3.2$ for the short scales and
$1.50 \le q \le 1.72$ for the large scales. This quantitative difference, in
particular in the tail exponent $q$, indicates that the non-coding (coding)
size distributions have long (short) range correlations. This non-trivial
difference in the DNA statistics is attributed to the non-conservative
(conservative) evolution dynamics acting on the non-coding (coding) DNA
sequences.
