Abstract and Applied Analysis

Parameter Estimation for a Class of Lifetime Models

Xinyang Ji, Shunhou Fan, and Wei Fan

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Abstract

Our purpose in this paper is to present a better method of parametric estimation for a bivariate nonlinear regression model, which takes the performance indicator of rubber aging as the dependent variable and time and temperature as the independent variables. We point out that the commonly used two-step method (TSM), which splits the model and estimate parameters separately, has limitation. Instead, we apply the Marquardt’s method (MM) to implement parametric estimation directly for the model and compare these two methods of parametric estimation by random simulation. Our results show that MM has better effect of data fitting, more reasonable parametric estimates, and smaller prediction error compared with TSM.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 950401, 5 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606025

Digital Object Identifier
doi:10.1155/2014/950401

Mathematical Reviews number (MathSciNet)
MR3219389

Zentralblatt MATH identifier
07023382

Citation

Ji, Xinyang; Fan, Shunhou; Fan, Wei. Parameter Estimation for a Class of Lifetime Models. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 950401, 5 pages. doi:10.1155/2014/950401. https://projecteuclid.org/euclid.aaa/1412606025


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