Design of Reliability Tests for Considering Variation in Shape Paramater for Weibull Distribution

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  • Weibull寿命分布における形状母数の変化を考慮した計量規準型信頼性試験
  • Weibull ジュミョウ ブンプ ニ オケル ケイジョウ ボスウ ノ ヘンカ オ コウリョ シタ ケイリョウ キジュンガタ シンライセイ シケン

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Abstract

The Weibull distribution indexed by scale and shape parameters is generally employed as the distribution of lifetime. In the existing reliability tests for assuring the mean time to failure (MTTF) in the Weibull distribution, it is assumed that the shape parameter of the acceptable distribution is known and corresponds with the shape parameter of the rejectable distribution. Then, it is no exaggeration say that the existing reliability tests for assuring MTTF is concerned with the scale parameter only. However, it may be considered that there is a difference between the shape parameter in acceptable distribution and that in rejectable distribution, and that the shape parameters are respectively specified as interval estimates. Therefore, the purpose of this article is to propose a new procedure for designing the reliability tests for assuring MTTF in the case that the shape parameters do not necessarily coincide with acceptable and rejectable distributions, and are specified as the interval.

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