The asymptotic behavior of certain birth processes

Siddhartha Sahi

doi:10.1007/s00026-006-0286-6

The asymptotic behavior of certain birth processes

Siddhartha Sahi

School of Arts and Sciences, Mathematics

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

Abstract

We describe a connection between discrete birth process and a certain family of multivariate interpolation polynomials. This enables us to compute all asymptotic moments of the birth process, generalizing previously known results for the mean and variance.

Original language	English (US)
Pages (from-to)	255-269
Number of pages	15
Journal	Annals of Combinatorics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/s00026-006-0286-6
State	Published - Sep 2006

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

Keywords

Birth processes
Capelli identity
Cumulants
Divisors
Interpolation polynomials
Qseries

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10.1007/s00026-006-0286-6

Cite this

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title = "The asymptotic behavior of certain birth processes",

abstract = "We describe a connection between discrete birth process and a certain family of multivariate interpolation polynomials. This enables us to compute all asymptotic moments of the birth process, generalizing previously known results for the mean and variance.",

keywords = "Birth processes, Capelli identity, Cumulants, Divisors, Interpolation polynomials, Qseries",

author = "Siddhartha Sahi",

note = "Funding Information: ∗ This research was supported by an NSF grant. † The author is grateful to Larry Shepp and Dan Ocone for useful discussions.",

year = "2006",

month = sep,

doi = "10.1007/s00026-006-0286-6",

language = "English (US)",

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N2 - We describe a connection between discrete birth process and a certain family of multivariate interpolation polynomials. This enables us to compute all asymptotic moments of the birth process, generalizing previously known results for the mean and variance.

AB - We describe a connection between discrete birth process and a certain family of multivariate interpolation polynomials. This enables us to compute all asymptotic moments of the birth process, generalizing previously known results for the mean and variance.

KW - Birth processes

KW - Capelli identity

KW - Cumulants

KW - Divisors

KW - Interpolation polynomials

KW - Qseries

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JO - Annals of Combinatorics

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ER -

The asymptotic behavior of certain birth processes

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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