On the α-classification of birth-death and quasi-birth-death processes

Erik A. van Doorn

doi:10.1080/15326340600820364

On the α-classification of birth-death and quasi-birth-death processes

Erik A. van Doorn

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

In several recent papers criteria for the α-classification of birth-death and quasi-birth-death processes have been proposed. In this paper the relations between the various criteria are brought to light.

Original language	Undefined
Article number	10.1080/15326340600820364
Pages (from-to)	411-421
Number of pages	11
Journal	Stochastic models
Volume	22
Issue number	2
DOIs	https://doi.org/10.1080/15326340600820364
Publication status	Published - 2006

Keywords

MSC-60J80
spectral measure
Orthogonal polynomials
Karlin-McGregor representation
METIS-238066
EWI-5239
Decay parameter
IR-66041
Associated polynomials

Access to Document

10.1080/15326340600820364

Cite this

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title = "On the α-classification of birth-death and quasi-birth-death processes",

abstract = "In several recent papers criteria for the α-classification of birth-death and quasi-birth-death processes have been proposed. In this paper the relations between the various criteria are brought to light.",

keywords = "MSC-60J80, spectral measure, Orthogonal polynomials, Karlin-McGregor representation, METIS-238066, EWI-5239, Decay parameter, IR-66041, Associated polynomials",

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AB - In several recent papers criteria for the α-classification of birth-death and quasi-birth-death processes have been proposed. In this paper the relations between the various criteria are brought to light.

KW - MSC-60J80

KW - spectral measure

KW - Orthogonal polynomials

KW - Karlin-McGregor representation

KW - METIS-238066

KW - EWI-5239

KW - Decay parameter

KW - IR-66041

KW - Associated polynomials

U2 - 10.1080/15326340600820364

DO - 10.1080/15326340600820364

M3 - Article

SN - 1532-6349

VL - 22

SP - 411

EP - 421

JO - Stochastic models

JF - Stochastic models

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