### Abstract

Original language | English |
---|---|

Pages (from-to) | 2070-2081 |

Number of pages | 12 |

Journal | Engineering Fracture Mechanics |

Volume | 78 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2011 |

MoE publication type | A1 Journal article-refereed |

### Fingerprint

### Keywords

- Rank probability
- Binomial probability
- Statistical assessment
- Objective estimates
- Lower bound estimates

### Cite this

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*Engineering Fracture Mechanics*, vol. 78, no. 9, pp. 2070-2081. https://doi.org/10.1016/j.engfracmech.2011.04.002

**Simple distribution-free statistical assessment of structural integrity material property data.** / Wallin, Kim (Corresponding Author).

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Simple distribution-free statistical assessment of structural integrity material property data

AU - Wallin, Kim

PY - 2011

Y1 - 2011

N2 - The assessment of structural integrity data requires a statistical assessment. However, most statistical analysis methods make some assumption regarding the underlying distribution. Here, a new distribution-free statistical assessment method based on a combination of Rank and Bimodal probability estimates is presented and shown to result in consistent estimates of different probability quantiles. The method is applicable for any data set expressed as a function of two parameters. Data for more than two parameters can always be expressed as different subsets varying only two parameters. In principle, this makes the method applicable to the analysis of more complex data sets. The strength in the statistical analysis method presented lies in the objectiveness of the result. There is no need to make any subjective assumptions regarding the underlying distribution, or of the relationship between the parameters considered.

AB - The assessment of structural integrity data requires a statistical assessment. However, most statistical analysis methods make some assumption regarding the underlying distribution. Here, a new distribution-free statistical assessment method based on a combination of Rank and Bimodal probability estimates is presented and shown to result in consistent estimates of different probability quantiles. The method is applicable for any data set expressed as a function of two parameters. Data for more than two parameters can always be expressed as different subsets varying only two parameters. In principle, this makes the method applicable to the analysis of more complex data sets. The strength in the statistical analysis method presented lies in the objectiveness of the result. There is no need to make any subjective assumptions regarding the underlying distribution, or of the relationship between the parameters considered.

KW - Rank probability

KW - Binomial probability

KW - Statistical assessment

KW - Objective estimates

KW - Lower bound estimates

U2 - 10.1016/j.engfracmech.2011.04.002

DO - 10.1016/j.engfracmech.2011.04.002

M3 - Article

VL - 78

SP - 2070

EP - 2081

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

IS - 9

ER -