Extremes of geometric variables with applications to branching processes

K.V. Mitov; Anthony Pakes; G.P. Yanev

doi:10.1016/j.spl.2003.10.002

Extremes of geometric variables with applications to branching processes

K.V. Mitov, Anthony Pakes, G.P. Yanev

UWA Business School

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

5 Citations (Scopus)

Abstract

We obtain limit theorems for the row extrema of a triangular array of zero-modified geometric random variables. Some of this is used to obtain limit theorems for the maximum family size within a generation of a simple branching process with varying geometric offspring laws. (C) 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	379-388
Journal	Statistics & Probability Letters
Volume	65
Issue number	4
DOIs	https://doi.org/10.1016/j.spl.2003.10.002
Publication status	Published - 2003

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title = "Extremes of geometric variables with applications to branching processes",

abstract = "We obtain limit theorems for the row extrema of a triangular array of zero-modified geometric random variables. Some of this is used to obtain limit theorems for the maximum family size within a generation of a simple branching process with varying geometric offspring laws. (C) 2003 Elsevier B.V. All rights reserved.",

author = "K.V. Mitov and Anthony Pakes and G.P. Yanev",

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T1 - Extremes of geometric variables with applications to branching processes

AU - Mitov, K.V.

AU - Pakes, Anthony

AU - Yanev, G.P.

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AB - We obtain limit theorems for the row extrema of a triangular array of zero-modified geometric random variables. Some of this is used to obtain limit theorems for the maximum family size within a generation of a simple branching process with varying geometric offspring laws. (C) 2003 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.spl.2003.10.002

DO - 10.1016/j.spl.2003.10.002

M3 - Article

SN - 0167-7152

VL - 65

SP - 379

EP - 388

JO - Statistics & Probability Letters

JF - Statistics & Probability Letters

IS - 4

ER -

Extremes of geometric variables with applications to branching processes

Abstract

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