Parameter estimation for a class of lifetime models. (English) Zbl 1474.62353

Ji, Xinyang; Fan, Shunhou; Fan, Wei

Abstr. Appl. Anal. 2014, Article ID 950401, 5 p. (2014).

Summary: 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.

MSC:

62N05	Reliability and life testing
62F10	Point estimation

Software:

VBASim

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