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Estimation of Parameters of Three-parameter Weibull Distribution in Life Analysis

Fang Zhi-qian

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Abstract

Weibull distribution has been widely used in the reliability engineering. In the analysis and evaluation of reliability for the given life testing data, two-parameter Weibull distribution is of- ten due to Its sample solvability. But it takes more evaluated error. Using three-parameter Weibull distribution to fitting and estimating parameters for some machinery parts with property of loss fail- ure can be more precision. Therefore three-parameter Weibull distribution can show more actual reliability of the products than two-paramater Weibull distribution.

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What this paper is about

Weibull distribution has been widely used in the reliability engineering. In the analysis and evaluation of reliability for the given life testing data, two-parameter Weibull distribution is of- ten due to Its sample solvability. But it takes more evaluated error. Using three-parameter Weibull distribution to fitting and estimating parameters for some machinery parts with property of loss fail- ure can be more precision. Therefore three-parameter Weibull distribution can show more actual reliability of the products than two-paramater Weibull distribution.

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Available abstract

Weibull distribution has been widely used in the reliability engineering. In the analysis and evaluation of reliability for the given life testing data, two-parameter Weibull distribution is of- ten due to Its sample solvability. But it takes more evaluated error. Using three-parameter Weibull distribution to fitting and estimating parameters for some machinery parts with property of loss fail- ure can be more precision. Therefore three-parameter Weibull distribution can show more actual reliability of the products than two-paramater Weibull distribution.

Key concepts: Weibull distribution, Weibull modulus, Exponentiated Weibull distribution, Reliability (semiconductor), Shape parameter, Weibull fading, Reliability engineering, Statistics

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