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Title: Statistical validation of stochastic models

Abstract

It is common practice in structural dynamics to develop mathematical models for system behavior, and the authors are now capable of developing stochastic models, i.e., models whose parameters are random variables. Such models have random characteristics that are meant to simulate the randomness in characteristics of experimentally observed systems. This paper suggests a formal statistical procedure for the validation of mathematical models of stochastic systems when data taken during operation of the stochastic system are available. The statistical characteristics of the experimental system are obtained using the bootstrap, a technique for the statistical analysis of non-Gaussian data. The authors propose a procedure to determine whether or not a mathematical model is an acceptable model of a stochastic system with regard to user-specified measures of system behavior. A numerical example is presented to demonstrate the application of the technique.

Authors:
 [1]; ;  [2]; ;  [3]
  1. Los Alamos National Lab., NM (United States). Engineering Science and Analysis Div.
  2. Sandia National Labs., Albuquerque, NM (United States). Experimental Structural Dynamics Dept.
  3. Univ. of Texas, El Paso, TX (United States). Dept. of Civil Engineering
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States); Texas Univ., Austin, TX (United States)
OSTI Identifier:
432964
Report Number(s):
SAND-96-2610C; CONF-970233-5
ON: DE97000663; CNN: Contract F49620951051B; TRN: AHC29704%%80
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Conference
Resource Relation:
Conference: International modal analysis conference, Orlando, FL (United States), 3-6 Feb 1997; Other Information: PBD: [1996]
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; STOCHASTIC PROCESSES; STRUCTURAL BEAMS; MATHEMATICAL MODELS; DYNAMICS; VALIDATION

Citation Formats

Hunter, N F, Barney, P, Paez, T L, Ferregut, C, and Perez, L. Statistical validation of stochastic models. United States: N. p., 1996. Web.
Hunter, N F, Barney, P, Paez, T L, Ferregut, C, & Perez, L. Statistical validation of stochastic models. United States.
Hunter, N F, Barney, P, Paez, T L, Ferregut, C, and Perez, L. 1996. "Statistical validation of stochastic models". United States. https://www.osti.gov/servlets/purl/432964.
@article{osti_432964,
title = {Statistical validation of stochastic models},
author = {Hunter, N F and Barney, P and Paez, T L and Ferregut, C and Perez, L},
abstractNote = {It is common practice in structural dynamics to develop mathematical models for system behavior, and the authors are now capable of developing stochastic models, i.e., models whose parameters are random variables. Such models have random characteristics that are meant to simulate the randomness in characteristics of experimentally observed systems. This paper suggests a formal statistical procedure for the validation of mathematical models of stochastic systems when data taken during operation of the stochastic system are available. The statistical characteristics of the experimental system are obtained using the bootstrap, a technique for the statistical analysis of non-Gaussian data. The authors propose a procedure to determine whether or not a mathematical model is an acceptable model of a stochastic system with regard to user-specified measures of system behavior. A numerical example is presented to demonstrate the application of the technique.},
doi = {},
url = {https://www.osti.gov/biblio/432964}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 31 00:00:00 EST 1996},
month = {Tue Dec 31 00:00:00 EST 1996}
}

Conference:
Other availability
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