VARIANCE ESTIMATORS IN CRITICAL BRANCHING PROCESSES WITH NON-HOMOGENEOUS IMMIGRATION

被引：0

作者：

Rahimov, Ibrahim ^{[1
]}

Yanev, George P. ^{[2
]}

机构：

[1] Zayed Univ, Dept Math & Stat, Dubai, U Arab Emirates

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

来源：

MATHEMATICAL POPULATION STUDIES | 2012年 / 19卷 / 04期

关键词：

branching processes; immigration; least squares estimators; offspring variance; Skorokhod space; LIMIT-THEOREMS;

D O I：

10.1080/08898480.2012.718941

中图分类号：

C921 [人口统计学];

学科分类号：

摘要：

The asymptotic normality of conditional least squares estimators for the offspring variance in critical branching processes with nonhomogeneous immigration is established, under moment assumptions on both reproduction and immigration. The proofs use martingale techniques and weak convergence results in Skorokhod spaces.

引用

页码：188 / 199

页数：12

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