Quasi-stationary distributions for subcritical superprocesses

被引：4

作者：

Liu, Rongli ^{[1
]}

Ren, Yan-Xia ^{[2
,3
]}

Song, Renming ^{[4
]}

Sun, Zhenyao ^{[5
]}

机构：

[1] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China

[2] Peking Univ, LMAM Sch Math Sci, Beijing 100871, Peoples R China

[3] Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R China

[4] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[5] Isreal Inst Technol, Fac Ind Engn & Management Technion, IL-3200003 Haifa, Israel

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2021年 / 132卷

关键词：

Superprocess; Yaglom limit; Quasi-stationary distribution; BRANCHING-PROCESS; LIMIT-THEOREMS; BEHAVIOR;

D O I：

10.1016/j.spa.2020.10.007

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Suppose that X is a subcritical superprocess. Under some asymptotic conditions on the mean semigroup of X, we prove the Yaglom limit of X exists and identify all quasi-stationary distributions of X. (C) 2020 Elsevier B.V. All rights reserved.

引用

页码：108 / 134

页数：27

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[1] VECTORIAL QUASI-STATIONARY DISTRIBUTIONS
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[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1968, 266 (17): : 867 - &
[2] THE QUASI-STATIONARY DISTRIBUTION OF THE SUBCRITICAL CONTACT PROCESS
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Groisman, Pablo
Rolla, Leonardo T.
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Dickman, Ronald
[J]. BRAZILIAN JOURNAL OF PHYSICS, 2006, 36 (3A) : 685 - 689
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PARSONS, RW
POLLETT, PK
[J]. JOURNAL OF STATISTICAL PHYSICS, 1987, 46 (1-2) : 249 - 254
[5] Quasi-stationary distributions for Levy processes
Kyprianou, A. E.
Palmowski, Z.
[J]. BERNOULLI, 2006, 12 (04) : 571 - 581
[6] Quasi-stationary distributions and population processes
Meleard, Sylvie
Villemonais, Denis
[J]. PROBABILITY SURVEYS, 2012, 9 : 340 - 410
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KIJIMA, M
MAKIMOTO, N
[J]. COMPUTERS & INDUSTRIAL ENGINEERING, 1994, 27 (1-4) : 429 - 432
[8] QUASI-STATIONARY DISTRIBUTIONS OF QUEUES IN HEAVY TRAFFIC
KYPRIANOU, EK
[J]. JOURNAL OF APPLIED PROBABILITY, 1972, 9 (04) : 821 - 831
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GYLLENBERG, M
SILVESTROV, DS
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1994, 33 (01) : 35 - 70
[10] TOTAL VARIATION APPROXIMATION FOR QUASI-STATIONARY DISTRIBUTIONS
Barbour, A. D.
Pollett, P. K.
[J]. JOURNAL OF APPLIED PROBABILITY, 2010, 47 (04) : 934 - 946

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