Let µ be a probability measure on the real line with finite moments of all orders. Apply the Gram-Schmidt orthogonalization process to the system {1, x, x², . . . , xn, . . .} to get orthogonal ...

We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a Two-State ...

ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...

Abstract: This paper addresses models for time series of integer-valued variables. Such series arise in various applications, often as increment series for counts of interest. A model with a ...

Generating subsets is the process of finding all the subsets of a given set. A subset is a collection of elements from the original set, where the order of the elements does not matter and duplicates ...