**X**and

**Y**, both of length n. The elements of either vector are not independent, and

**X**and

**Y**themselves are not independent. All elements are non-negative.

I want to explore the behaviour of the inner product of

**X**and

**Y**as [math]n\to\infty[/math].

Not sure where to begin though: does anyone know of any good references/advice to get me started? Cheers.