Effect of Ranking Selection on the Weibull Modulus Estimation

Kirtay, Sebahattin; Dispinar, Derya
January 2012
Gazi University Journal of Science;2012, Vol. 25 Issue 1, p175
Academic Journal
Determination of mechanical properties of materials requires repeatable and consistent results. Therefore, the Weibull statistical distribution is widely used to verify the confidence levels of the test results where probability of failure is predicted. The reliability of results is characterised by Weibull distribution where Weibull parameters are determined and compared with the benchmarks. Recent studies showed that the size of the population and the method chosen to estimate the Weibull modulus play an important role. Therefore, in this study, the effect of ranking selection over the Weibull parameters (alpha-characteristic life, beta-shape parameter, R² and survival probability) was investigated. The data from authors' recent research were re-evaluated. In addition, randomly generated data with population from 5 to 50 sample sizes were studied. The results showed that the mean rank regression to estimate the failure probability had the highest R² and the lowest shape parameter. It was also found that the results were independent of sample size.


Related Articles

  • A New Hybrid Estimator for the Generalized Weibull Family Distribution. Riad, Hesham M.; Hashish, Ahmed M. // Journal of Mathematics Research;Sep2014, Vol. 6 Issue 3, p114 

    The method of moments (MOM) is suffered from a trouble in their corresponding estimators for the bounded distributions, which is nonfeasibility. In the sense that the supports inferred from the estimates fail to contain all observations. In this paper, we introduce a new hybrid estimator based...

  • On estimating percentiles of the Weibull distribution by the linear regression method. Hudak, David; Tiryakioğlu, Murat // Journal of Materials Science;Apr2009, Vol. 44 Issue 8, p1959 

    Probability estimators developed previously by the authors have been used to obtain unbiased estimates of the Weibull parameters by the linear regression method. Using these unbiased estimators, percentiles of the Weibull distribution have been estimated. Since these percentiles are determined...

  • A Heteroscedastic Method for Comparing Regression Lines at Specified Design Points When Using a Robust Regression Estimator. Wilcox, Rand R. // Journal of Data Science;Apr2013, Vol. 11, p281 

    It is well known that the ordinary least squares (OLS) regression estimator is not robust. Many robust regression estimators have been pro- posed and inferential methods based on these estimators have been derived. However, for two independent groups, let θj(X) be some conditional mea- sure...

  • Mapping wind power density for Zimbabwe: a suitable Weibull-parameter calculation method. Hove, Tawanda; Madiye, Luxmore; Musademba, Downmore // Journal of Energy in Southern Africa;Nov2014, Vol. 25 Issue 4, p37 

    The two-parameter Weibull probability distribution function is versatile for modelling wind speed frequency distribution and for estimating the energy delivery potential of wind energy systems if its shape and scale parameters, k and c, are correctly determined from wind records. In this study,...

  • Weibull Failure Probability Estimation Based on Zero-Failure Data. Jiang, Ping; Xing, Yunyan; Jia, Xiang; Guo, Bo // Mathematical Problems in Engineering;5/18/2015, Vol. 2015, p1 

    Reliability testing is often carried out with small sample sizes and short duration because of increasing costs and the restriction of development time. Therefore, for highly reliable products, zero-failure data are often collected in such tests, which could not be used to evaluate reliability...

  • Variations in long term wind speed during different decades in Arabian Sea and Bay of Bengal. Sanil Kumar, V.; Sajiv Philip, C. // Journal of Earth System Science;Oct2010, Vol. 119 Issue 5, p639 

    study has been carried out by comparing the extreme wind speeds estimated based on NCEP/NCAR reanalysis data for 100 years return period using Fischer Tippet-1 (commonly known as Gumbel) and Weibull distributions for three locations (off Goa, Visakhapatnam and Machilipatnam) in the north Indian...

  • Parallel Weibull Regression Model. Arasan, Jayanthi // Pertanika Journal of Science & Technology;Jul2008, Vol. 16 Issue 2, p83 

    This paper focuses on the lifetime analysis of parallel systems consisting of Weibull components with independent failures and covariates. The performance of the parameter estimates of two and three-component parallel systems at different values of the shape parameter, σ, are compared and...

  • Frailty Index as a Measure of Biological Age in a Chinese Population. Goggins, William B.; Woo, Jean; Sham, Aprille; Ho, Suzanne C. // Journals of Gerontology Series A: Biological Sciences & Medical ;Aug2005, Vol. 60 Issue 8, p1046 

    Background. The concept of a frailty index, developed in Canadian elderly populations as an indicator of biological age as opposed to chronological age, was tested in an elderly Chinese population to determine whether it is applicable in a different ethnic and cultural setting. Methods. A data...

  • A Burn-In Scheme Based on Percentiles of the Residual Life. ZHI SHENG YE; LOON CHING TANG; MIN XIE // Journal of Quality Technology;Oct2011, Vol. 43 Issue 4, p334 

    Many commercial products sold with warranties suffer from infant-mortality problems. Burn-in is a common means to mitigate the impact of early failures on warranty costs. After burn-in, the p-percentile function of the residual life (PRL-p function) is of particular interest as, in some cases,...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics