In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(Xs < Xi) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(Xs < Xi) has been worked out fo
β¦ LIBER β¦
Control curves for extreme value methods
β Scribed by R.I. Harris
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 163 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0167-6105
No coin nor oath required. For personal study only.
β¦ Synopsis
A method is presented for the calculation of control curves for the Modified Gumbel analysis of extreme values. For each plotted extreme value an upper bound, a lower bound and an 'inclusion' probability p are defined such that for each and every point, the probability of it plotting within the upper and lower bounds is equal to p. The loci of the upper and lower bounds then form the control curves. A rationale for the appropriate choice of p, based on Binomial Probability is also presented. Similar procedures are also presented for Cook's Method of Independent Storms.
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