This paper derives the joint moment generating function of quadratic forms occurring in seasonal autoregressive models under stationary, unit root, and explosive specifications. The results are then ...

This is a preview. Log in through your library . Abstract In the random walk whose state space is a subset of the non-negative integers explicit representations for the generating functions of the ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...