Read Anywhere and on Any Device!

Subscribe to Read | $0.00

Join today and start reading your favorite books for Free!

Create Free Account

Quick and Easy Sign Up!

It takes less then 1 minute to sign up, then you can enjoy Unlimited eBooks.

Sign Up Browse

Popular Genres

Read Anywhere and on Any Device!

  • Download on iOS
  • Download on Android
  • Download on iOS

Asymptotic Properties of Permanental Sequences: Related to Birth and Death Processes and Autoregressive Gaussian Sequences

Asymptotic Properties of Permanental Sequences: Related to Birth and Death Processes and Autoregressive Gaussian Sequences

Michael B Marcus
0/5 ( ratings)
Read Download
This SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains.

The authors study alpha-permanental processes that are positive infinitely divisible processes determined by the potential density of a transient Markov process. When the Markov process is symmetric, a 1/2-permanental process is the square of a Gaussian process. Permanental processes are related by the Dynkin isomorphism theorem to the total accumulated local time of the Markov process when the potential density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are also related to chi square processes and loop soups.

The book appeals to researchers and advanced graduate students interested in stochastic processes, infinitely divisible processes and Markov chains.
Format
Paperback
Publisher
Springer
Release
May 05, 2021
ISBN
3030694844
ISBN 13
9783030694845

Asymptotic Properties of Permanental Sequences: Related to Birth and Death Processes and Autoregressive Gaussian Sequences

Michael B Marcus
0/5 ( ratings)
Read Download
This SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains.

The authors study alpha-permanental processes that are positive infinitely divisible processes determined by the potential density of a transient Markov process. When the Markov process is symmetric, a 1/2-permanental process is the square of a Gaussian process. Permanental processes are related by the Dynkin isomorphism theorem to the total accumulated local time of the Markov process when the potential density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are also related to chi square processes and loop soups.

The book appeals to researchers and advanced graduate students interested in stochastic processes, infinitely divisible processes and Markov chains.
Format
Paperback
Publisher
Springer
Release
May 05, 2021
ISBN
3030694844
ISBN 13
9783030694845

More books from Michael B Marcus

Rate this book!

Write a review?

loader