A Goodness-of-Fit Test for the Two Parameter vs. Three Parameter Weibull; Confidence Bounds for Threshold

Technometrics ◽  
1975 ◽  
Vol 17 (2) ◽  
pp. 237 ◽  
Author(s):  
Nancy R. Mann ◽  
Kenneth W. Fertig
Keyword(s):  
Goodness Of Fit ◽  
Confidence Bounds ◽  
Goodness Of Fit Test ◽  
Two Parameter

The Statistical Boundary Polygon of a Two Parameter Stochastic Process

2006 ◽  
Author(s):  
Torfinn Ottesen ◽  
Jon A. Aarstein
Keyword(s):  
Convex Hull ◽  
Goodness Of Fit ◽  
Structural Integrity ◽  
Time Series Data ◽  
Extreme Values ◽  
Extreme Value Distribution ◽  
Series Data ◽  
Goodness Of Fit Test ◽  
Anderson Darling ◽  
Two Parameter

The simultaneous values of tension and bending are of primary interest when checking the structural integrity of dynamic risers and umbilicals. Considering extreme checks, it is generally sufficient to check the simultaneous values along the convex hull of the extreme contour. A method for obtaining a boundary polygon that approximates the statistical extreme convex hull from time series data is described. The procedure for obtaining the extreme values from the most suitable extreme value distribution as determined by the Anderson-Darling Goodness-of-Fit test is outlined.

scholarly journals A New Goodness-of-Fit Test for the Two-Parameter Gamma Distribution

2022 ◽  
Vol 3 (1) ◽  
pp. 01-06
Author(s):  
Mbanefo S. Madukaife
Keyword(s):  
Gamma Distribution ◽  
Goodness Of Fit ◽  
Critical Values ◽  
Parameter Distribution ◽  
Goodness Of Fit Test ◽  
Gamma Distributions ◽  
Two Parameter

This paper proposes a new goodness-of-fit for the two-parameter distribution. It is based on a function of squared distances between empirical and theoretical quantiles of a set of observations being hypothesized to have come from the gamma distribution. The critical values of the proposed statistic are evaluated through extensive simulations of the unit-scaled gamma distributions and computations. The empirical powers of the statistic are obtained and compared with some well-known tests for the gamma distribution, and the results show that the proposed statistic can be recommended as a test for the gamma distribution.

A Statistical Study of Fatigue Life Prediction of Fibre Reinforced Polymer Composites

2011 ◽  
Vol 19 (9) ◽  
pp. 717-724 ◽  
Author(s):  
A. Tuğrul Seyhan
Keyword(s):  
Fatigue Life ◽  
Composite Structures ◽  
Goodness Of Fit ◽  
Unsaturated Polyester ◽  
Constant Stress ◽  
Goodness Of Fit Test ◽  
Statistical Tool ◽  
Composite Failure ◽  
Glass Fibre Reinforced ◽  
Two Parameter

In this study, the tension-tension fatigue response of bidirectional woven E-glass fibre reinforced unsaturated polyester composites was experimentally determined. The composite parts were produced via continuous laminating process. The probabilistic fatigue life distribution of the produced composites at various constant stress levels was then modelled, based on the two-parameter Weibull approach. A variety of different methods including graphical, method of moments and the maximum likelihood were conducted to predict the Weibull parameters. For the sake of reliability, the composite fatigue life data gathered at each constant stress level were correlated with the approvals of Kolmogorov-Smirnow goodness-of-fit test. Furthermore, the two parameter Weibull approach was utilized to relate the composite failure probability to the number of fatigue cycles that the composite withstands under a given load. As a result, the two-parameter Weibull approach has proved to be an efficient statistical tool to assess the reliability of polymer composite structures.

Sign in / Sign up

Export Citation Format

Share Document