Limit theorems for generalized Jiřina processes

Yuqiang Li

doi:10.1016/j.spl.2008.07.040

Limit theorems for generalized Jiřina processes

Yuqiang Li^*

^*Corresponding author for this work

School of Statistics

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

4 Scopus citations

Abstract

It is proved by a new method that continuous state size-dependent branching processes converge almost surely to 0 or ∞ under some mild conditions. In addition, these processes are almost surely extinct in the subcritical case.

Original language	English
Pages (from-to)	158-164
Number of pages	7
Journal	Statistics and Probability Letters
Volume	79
Issue number	2
DOIs	https://doi.org/10.1016/j.spl.2008.07.040
State	Published - 15 Jan 2009

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title = "Limit theorems for generalized Ji{\v r}ina processes",

abstract = "It is proved by a new method that continuous state size-dependent branching processes converge almost surely to 0 or ∞ under some mild conditions. In addition, these processes are almost surely extinct in the subcritical case.",

author = "Yuqiang Li",

year = "2009",

month = jan,

day = "15",

doi = "10.1016/j.spl.2008.07.040",

language = "英语",

volume = "79",

pages = "158--164",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier B.V.",

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T1 - Limit theorems for generalized Jiřina processes

AU - Li, Yuqiang

PY - 2009/1/15

Y1 - 2009/1/15

N2 - It is proved by a new method that continuous state size-dependent branching processes converge almost surely to 0 or ∞ under some mild conditions. In addition, these processes are almost surely extinct in the subcritical case.

AB - It is proved by a new method that continuous state size-dependent branching processes converge almost surely to 0 or ∞ under some mild conditions. In addition, these processes are almost surely extinct in the subcritical case.

UR - https://www.scopus.com/pages/publications/57149135342

U2 - 10.1016/j.spl.2008.07.040

DO - 10.1016/j.spl.2008.07.040

M3 - 文章

AN - SCOPUS:57149135342

SN - 0167-7152

VL - 79

SP - 158

EP - 164

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 2

ER -

Limit theorems for generalized Jiřina processes

Abstract

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