A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution
Unbiased plotting position formulas are discussed to fit the Pearson Type 3 distribution (PIII). The best quantile estimate made from the plotting position should be unbiased and should have the smallest root means square error among all such estimates. Probability plot correlation coefficient (PPCC...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2002
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| Online Access: | http://eprints.utm.my/1350/ http://eprints.utm.my/1350/1/JT36C5.pdf |
| _version_ | 1848890113304559616 |
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| author | Shabri, Ani |
| author_facet | Shabri, Ani |
| author_sort | Shabri, Ani |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | Unbiased plotting position formulas are discussed to fit the Pearson Type 3 distribution (PIII). The best quantile estimate made from the plotting position should be unbiased and should have the smallest root means square error among all such estimates. Probability plot correlation coefficient (PPCC) is used to evaluate goodness of fit to test the PIII distribution hypothesis. Results obtained using the annual maximum flow data from Peninsular of Malaysia based on PPCC show the plotting position formulas consistently produced linear probability plots with correlation coefficient near to one. Based on root mean square error (RMSE) and root mean absolute error, the Weibull formula performs better than the other formulas. |
| first_indexed | 2025-11-15T20:36:54Z |
| format | Article |
| id | utm-1350 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:36:54Z |
| publishDate | 2002 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-13502017-11-01T04:17:45Z http://eprints.utm.my/1350/ A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution Shabri, Ani QA Mathematics Unbiased plotting position formulas are discussed to fit the Pearson Type 3 distribution (PIII). The best quantile estimate made from the plotting position should be unbiased and should have the smallest root means square error among all such estimates. Probability plot correlation coefficient (PPCC) is used to evaluate goodness of fit to test the PIII distribution hypothesis. Results obtained using the annual maximum flow data from Peninsular of Malaysia based on PPCC show the plotting position formulas consistently produced linear probability plots with correlation coefficient near to one. Based on root mean square error (RMSE) and root mean absolute error, the Weibull formula performs better than the other formulas. Penerbit UTM Press 2002-06 Article PeerReviewed application/pdf en http://eprints.utm.my/1350/1/JT36C5.pdf Shabri, Ani (2002) A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution. Jurnal Teknologi C (36C). pp. 61-74. ISSN 0127-9696 http://www.penerbit.utm.my/onlinejournal/36/C/JT36C5.pdf |
| spellingShingle | QA Mathematics Shabri, Ani A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution |
| title | A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution |
| title_full | A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution |
| title_fullStr | A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution |
| title_full_unstemmed | A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution |
| title_short | A Comparison Of Plotting Formulas For The Pearson Type Iii Distribution |
| title_sort | comparison of plotting formulas for the pearson type iii distribution |
| topic | QA Mathematics |
| url | http://eprints.utm.my/1350/ http://eprints.utm.my/1350/ http://eprints.utm.my/1350/1/JT36C5.pdf |