Improved Methodology for Predicting POD of Detecting Synthetic Hard Alpha Inclusions in Titanium

Meeker, William Q.; Jeng, Shuen-Lin; Chiou, Chien‐Ping; Thompson, R. B.

doi:10.1007/978-1-4615-5947-4_264

Cited by 8 publications

(13 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This would: 1) reduce the number of experimental samples required, 2) help gain acceptance and familiarity for the modeling approach, 3) provide validation and lead to improvements in the model predictions and correction methods used for human and environmental effects. Meeker, et al (1997) published a review and update of their modeling efforts on predicting POD and POF for hard alpha inclusions in titanium aircraft engine billet material. In the new part of the effort reported here, the authors extended the model to include: 1) details related to the microstracture, 2) flaw morphology, and flaw position relative to the ultrasonic probe.…”

Section: Ndeiyjttemmdmentioning

confidence: 99%

Probability of Detection (POD) for Nondestructive Evaluation (NDE)

Matzkanin¹,

Yolken²

2001

View full text Add to dashboard Cite

Section: Ndeiyjttemmdmentioning

confidence: 99%

Probability of Detection (POD) for Nondestructive Evaluation (NDE)

Matzkanin¹,

Yolken²

2001

View full text Add to dashboard Cite

“…Annis et al (MIL-STD-1823, 1989) describe a normal-approximation based lower simultaneous confidence bound for POD function, using an extension of the Cheng and Iles (1983) method. Meeker et al (1995Meeker et al ( , 1996Meeker et al ( , 1997 develop a methodology to estimate Nondestructive Evaluation (NDE) capability. The methodology is based on a physical/statistical model and can be used to estimate probability of detection (POD) curves and other characteristics of a flaw-detecting system.…”

Section: Literature Reviewmentioning

confidence: 99%

“…We follow the methodology developed by Meeker et al (1995Meeker et al ( , 1996Meeker et al ( , 1997 which is motivated by the need for methods to predict ultrasonic (UT) inspection POD for detecting hard-alpha and other subsurface flaws in titanium using a gated peak-to-peak UT detection method. Sarkar et al (1998) apply a similar methodology to the non-destructive testing using UT inspection and destructive testing of cracks in heat exchanger data.…”

Section: Simultaneous Confidence Band For Pod Curvementioning

confidence: 99%

Parametric Simultaneous Confidence Bands for Cumulative Distributions From Censored Data

Jeng

Meeker

2001

Technometrics

Self Cite

View full text Add to dashboard Cite

This article describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function. Our results are built on extensions of previous work by Cheng and Iles for two-sided and one-sided bands, respectively. Cheng and Iles used Wald statistics with (expected) Fisher information. We consider three alternatives-Wald statistics with observed Fisher information, Wald statistics with local information, and likelihood ratio statistics. We compare standard large-sample approximate methods with simulation or bootstrap-calibrated versions of the same methods. For (log-)location-scale distributions with complete or failure (Type II) censoring, the bootstrap methods have the correct coverage probability. A simulation for the Weibull distribution and time-censored (Type I) data shows that bootstrap methods provide coverage probabilities that are closer to nominal than those based on the usual large-sample approximations. We illustrate the methods with examples from product-life analysis and nondestructive evaluation probability of detection. KeywordsBootstrap, Life data, Likelihood ratio, Probability of detection, Reliability, Simultaneous confidence band, Wald Disciplines Statistics and Probability CommentsThis preprint was published in Technometrics 43 (2001) AbstractThis paper describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function (cdf). Our results are built on extensions of previous work by Cheng and Iles (1983, 1988). Cheng and Iles use Wald statistics with (expected) Fisher information and provide different approaches to find one-sided and two-sided simultaneous confidence bands. We consider three statistics, Wald statistics with Fisher information, Wald statistics with local information, and likelihood ratio statistics. Unlike pointwise confidence intervals, it is not possible to combine two 95% one-sided simultaneous confidence bands to get a 90% two-sided simultaneous confidence band. We present a general approach for construction of two-sided simultaneous confidence bands on a cdf for a continuous parametric model from complete and censored data. Both two-sided and one-sided simultaneous confidence bands for the location-scale parameter model are discussed in detail including situations with complete and censored data.We start by using standard large-sample approximations and then extend and compare these to corresponding simulation or bootstrap calibrated versions of the same methods. The results show that bootstrap methods provide more accurate coverage probabilities than those based on the usual large sample approximations. A simulation for the Weibull distribution and Type I censored data is used to compare finite sample properties. For the location-scale model with complete or Type II censoring, the bootstrap methods are exact. Simulation results show that, with Type I censoring, a bootstrap method based on the Wald statistic with local information provid...

show abstract

“…The binary region of interest is indicated by a 0 or 1. The conditional statements that are used in order to obtain a boundary around a region are limited in number and reduce the computation by an order of magnitude over other algorithms that work on edge detection and edge linking [2].…”

Section: Boundary Determinationmentioning

confidence: 99%

“…These naturally occurring defects appear to be highly irregular in shape and inhomogeneous in composition, and we would like to access the extent to which their responses can be predicted by available ultrasonic scattering models [I]. Three dimensional geometrical (surface and solid) models of the hard-alpha defects are needed in order to obtain the geometrical and material properties to drive the ultrasonic model calculations and the subsequent probability-of-detection evaluation [2].…”

Section: Introductionmentioning

confidence: 99%