ON STOCHASTIC GROWTH-PROCESSES WITH APPLICATION TO STOCHASTIC LOGISTIC GROWTH

被引：0

作者：

TAN, WY

PIANTADOSI, S

机构：

[1] MEMPHIS STATE UNIV, DEPT MATH SCI, MEMPHIS, TN 38152 USA

[2] JOHNS HOPKINS UNIV HOSP, CTR ONCOL, BALTIMORE, MD 21205 USA

来源：

STATISTICA SINICA | 1991年 / 1卷 / 02期

关键词：

ABSORPTION PROBABILITY; DIFFUSION PROCESS; MOMENTS OF 1ST ABSORPTION TIME; NONHOMOGENEOUS DENSITY-DEPENDENT BIRTH-DEATH PROCESS; STOCHASTIC LOGISTIC GROWTH;

D O I：

暂无

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：

In this paper we develop a general theory for some non-homogeneous density-dependent birth-death processes with special applications to stochastic logistic growth. Approximations to the mean and variance of the logistic process are derived. It is shown that these processes can be closely approximated by diffusion processes. Using this method, new results are developed for approximating the absorption probabilities and the moments of first absorption times for the logistic process.

引用

页码：527 / 540

页数：14

共 50 条

[31] Stochastic description of agglomeration and growth processes in glasses
Kerner, R
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2002, 16 (14-15): : 1987 - 1994
[32] PROBLEMS OF ESTIMATION AND PREDICTION FOR STOCHASTIC GROWTH PROCESSES
MCCLAVE, JT
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06): : 2174 - &
[33] ON SCALING RELATIONS IN CLUSTER GROWTH-PROCESSES
BUNDE, A
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1989, 59 (01): : 85 - 96
[34] NUCLEATION AND GROWTH-PROCESSES WITH CONCENTRATION FLUCTUATIONS
ENOMOTO, Y
ACTA METALLURGICA ET MATERIALIA, 1990, 38 (02): : 173 - 176
[35] HORMONAL-CONTROL OF GROWTH-PROCESSES
HEISE, E
ZEITSCHRIFT FUR KLINISCHE MEDIZIN-ZKM, 1986, 41 (14): : 1063 - 1068
[36] GROWTH-PROCESSES IN IONIC MICROEMULSIONS BY SANS
GIORDANO, R
MIGLIARDO, P
WANDERLINGH, U
BARDEZ, E
PHYSICA B, 1995, 213 : 585 - 587
[37] On stochastic logistic population growth models with immigration and multiple births
Matis, JH
Kiffe, TR
THEORETICAL POPULATION BIOLOGY, 2004, 65 (01) : 89 - 104
[38] The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
Jiamin Liu
Lijuan Chen
Fengying Wei
Advances in Difference Equations, 2018
[39] NEW ASPECTS OF AEROSOL GROWTH-PROCESSES
BROCK, JR
AEROSOL SCIENCE AND TECHNOLOGY, 1983, 2 (02) : 109 - 120
[40] OPTIMAL HARVESTING IN THE STOCHASTIC LOGISTIC GROWTH MODEL WITH FINITE HORIZON
Morimoto, Hiroaki
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (03) : 2335 - 2355

← 1 2 3 4 5 →