Shekhawati Engineering College, Rajasthan Technical University, Kota, India. The probability generating function approach plays a vital role in the study of queueing problems as it is crucially useful ...

This is a preview. Log in through your library . Abstract The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then ...

This is a preview. Log in through your library . Abstract Gontcharov obtained the joint probability generating function for the numbers of runs of all lengths, both of successes and failures, in a ...

We explore the application of probability generating functions (PGFs) to invasive processes, focusing on infectious disease introduced into large populations. Our goal is to acquaint the reader with ...

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 ...

Abstract: This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant generating function of codeword ...