STATISTICAL-METHODS FOR MODEL COMPARISON IN PARAMETER-ESTIMATION PROBLEMS FOR DISTRIBUTED SYSTEMS

被引：45

作者：

BANKS, HT

FITZPATRICK, BG

机构：

[1] NASA,LANGLEY RES CTR,INST COMP APPLICAT SCI & ENGN,HAMPTON,VA 23665

[2] BROWN UNIV,CTR CONTROL SCI,DIV APPL MATH,PROVIDENCE,RI 02912

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1990年 / 28卷 / 05期

关键词：

Approximation; Hypothesis testing; Parameter estimation; Partial differential equations;

D O I：

10.1007/BF00164161

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this note we outline some recent results on the development of a statistical testing methodology for inverse problems involving partial differential equation models. Applications to several problems from biology are presented. The statistical tests, which are in the spirit of analysis of variance (ANOVA), are based on asymptotic distributional results for estimators and residuals in a least squares approach. © 1990, Springer-Verlag. All rights reserved.

引用

页码：501 / 527

页数：27

共 31 条

[1] BANKS H., 1989, ESTIMATION TECHNIQUE
[2] BANKS HT, 1986, MAT APL COMPUT, V5, P139
[3] BANKS HT, 1988, CONTR-THEOR ADV TECH, V4, P73
[4] MODELING INSECT DISPERSAL AND ESTIMATING PARAMETERS WHEN MARK-RELEASE TECHNIQUES MAY CAUSE INITIAL DISTURBANCES
BANKS, HT
KAREIVA, PM
LAMM, PK
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1985, 22 (03) : 259 - 277
[5] BANKS HT, 1983, J MATH BIOL, V17, P253, DOI 10.1007/BF00276516
[6] CUBIC SPLINE APPROXIMATION TECHNIQUES FOR PARAMETER-ESTIMATION IN DISTRIBUTED SYSTEMS
BANKS, HT
CROWLEY, JM
KUNISCH, K
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (07) : 773 - 786
[7] PARAMETER-ESTIMATION TECHNIQUES FOR INTERACTION AND REDISTRIBUTION MODELS - A PREDATOR-PREY EXAMPLE
BANKS, HT
KAREIVA, PM
MURPHY, KA
[J]. OECOLOGIA, 1987, 74 (03) : 356 - 362
[8] ESTIMATION OF VARIABLE-COEFFICIENTS IN PARABOLIC DISTRIBUTED SYSTEMS
BANKS, HT
LAMM, PD
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (04) : 386 - 398
[9] ANALYZING FIELD STUDIES OF INSECT DISPERSAL USING TWO-DIMENSIONAL TRANSPORT-EQUATIONS
BANKS, HT
KAREIVA, PM
ZIA, L
[J]. ENVIRONMENTAL ENTOMOLOGY, 1988, 17 (05) : 815 - 820
[10] NUMERICAL SCHEMES FOR THE ESTIMATION OF FUNCTIONAL PARAMETERS IN DISTRIBUTED MODELS FOR MIXING MECHANISMS IN LAKE AND SEA SEDIMENT CORES
BANKS, HT
ROSEN, IG
[J]. INVERSE PROBLEMS, 1987, 3 (01) : 1 - 23

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