The asymptotic behaviour of an estimator of multiinformation is investigated. It is shown that it qualitatively depends on the value of certain numerical characteristic. If this characteristic is non-zero then the estimator is asymptotically normally distributed. In the opposite case the asymptotic distribution of the estimator is the distribution of a weighted sum of squares of independent nor...

I study the product of independent identically distributed D × D random probability matrices. Some exact asymptotic results are obtained. I find that both the left and the right products approach exponentially to a probability matrix(asymptotic matrix) in which any two rows are the same. A parameter λ is introduced for the exponential coefficient which can be used to describe the convergent rat...

For population genetics models with recombination, obtaining an exact, analytic sampling distribution has remained a challenging open problem for several decades. Recently, a new perspective based on asymptotic series has been introduced to make progress on this problem. Specifically, closed-form expressions have been derived for the first few terms in an asymptotic expansion of the two-locus s...