The stationary statistical properties of human coding sequences

We introduce a generally applicable method for the discovery and quantitati on of all of the characteristic statistical properties of a class of biolog ical sequences, given examples from the class. This method employs a revers ible binary encoding of sequences into the binary digits -1 and +1. Then, p rovided that the sample is sufficient, the sample cumulants on the subsets of digit positions will manifest all of the statistical properties of the c lass. As an illustration, we present the main results of a complete charact erization of the stationary statistical properties of human coding sequence s, in terms of their sample cumulants. Many of the telling sample cumulants are described.