Table of the Percentage Points of the Trivariate t-Distribution with an Application to Uniform Confidence Bands

Trout, J. Richard; Chow, Bryant

doi:10.2307/1267135

Cited by 6 publications

(4 citation statements)

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“…The calculation results and related parameters based on the statistical analysis are shown in Table IV. These parameters can be determined through computation and the look-up table 31 (Table V). Substituting these data into Eqn (1) obtains the following results:…”

Section: Verification Of the Minimum Number Of Specimensmentioning

confidence: 99%

Fatigue Test Analysis of Automotive Key Parts Based on Censored Data and Small Sample Setting

Wang

Liu

Wang

et al. 2016

Quality & Reliability Eng

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The study discusses how some challenges from a small sample fatigue test can be analysed statistically and resolved. In terms of data dispersion, fatigue data are initially processed by confidence, and then, the fatigue life curve is replaced by the parabolic reliability approximation. Fatigue data under various reliability levels are obtained. Instead of the traditional single S–N curve, the mean value curve and mean square deviation curve of the S–N curve are computed based on the processed fatigue data. The S–N curve with reliability is deduced by applying quantile theory. The S–N curve is improved by considering the effects of low‐amplitude load strengthening. The benefits of the modification are visible in the comparison of the fatigue life before and after low‐amplitude load strengthening. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Verification Of the Minimum Number Of Specimensmentioning

confidence: 99%

Fatigue Test Analysis of Automotive Key Parts Based on Censored Data and Small Sample Setting

Wang

Liu

Wang

et al. 2016

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…which can be solved for D using approximations for the probability integral given in . Bowden and Graybill computed D for all combinations Trout & Chow (1972) extended this development for trivariate t distributions: Setting…”

Section: Bowden and Graybill's Percentage Pointsmentioning

confidence: 99%

Percentage Points of the Multivariate t Distribution

Nadarajah

Kotz

2006

Int Statistical Rev

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“…Trout and Chow [ 69 ] tabulated two-sided nonequicoordinate p × 100 percentage points of trivariate ( M = 3) t-distribution with non-singular correlation matrix

…”

Section: Multivariate Distributionsmentioning

confidence: 99%