A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation
In this study, we propose a new descriptive statistic, coefficient of variation function, for functional data analysis and present its utilization. We recommend coefficient of variation function, especially when we want to compare the variation of multiple curve groups and when the mean functions ar...
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| Format: | Article |
| Language: | English |
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Istanbul University
2016-09-01
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| Series: | Alphanumeric Journal |
| Subjects: | |
| Online Access: |
http://alphanumericjournal.com/media/Issue/volume-4-issue-2-2016/a-new-descriptive-statistic-for-functional-data-functional-c_XL7feRO.pdf
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| _version_ | 1797910269621436416 |
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| author | İstem Köymen Keser İpek Deveci Kocakoç Ali Kemal Şehirlioğlu |
| author_facet | İstem Köymen Keser İpek Deveci Kocakoç Ali Kemal Şehirlioğlu |
| author_sort | İstem Köymen Keser |
| collection | DOAJ |
| description | In this study, we propose a new descriptive statistic, coefficient of variation function, for functional data analysis and present its utilization. We recommend coefficient of variation function, especially when we want to compare the variation of multiple curve groups and when the mean functions are different for each curve group. Besides, obtaining coefficient of variation functions in terms of cubic B-Splines enables the interpretation of the first and second derivative functions of these functions and provides a stronger inference for the original curves. The utilization and effects of the proposed statistic is reported on a well-known data set from the literature. The results show that the proposed statistic reflects the variability of the data properly and this reflection gets clearer than that of the standard deviation function especially as mean functions differ. |
| first_indexed | 2024-04-10T11:21:39Z |
| format | Article |
| id | doaj.art-e622ec82c23441519887e126b9ac154f |
| institution | Directory Open Access Journal |
| issn | 2148-2225 |
| language | English |
| last_indexed | 2024-04-10T11:21:39Z |
| publishDate | 2016-09-01 |
| publisher | Istanbul University |
| record_format | Article |
| series | Alphanumeric Journal |
| spelling | doaj.art-e622ec82c23441519887e126b9ac154f2023-02-15T16:18:36ZengIstanbul UniversityAlphanumeric Journal2148-22252016-09-0142110http://dx.doi.org/10.17093/aj.2016.4.2.500018540821482225A New Descriptive Statistic for Functional Data: Functional Coefficient of Variationİstem Köymen Keser0İpek Deveci Kocakoç1Ali Kemal Şehirlioğlu2 Dokuz Eylul University, Department of Econometrics, Faculty of Economics and Administrative Sciences Dokuz Eylul University, Department of Econometrics, Faculty of Economics and Administrative Sciences Dokuz Eylul University, Department of Econometrics, Faculty of Economics and Administrative Sciences In this study, we propose a new descriptive statistic, coefficient of variation function, for functional data analysis and present its utilization. We recommend coefficient of variation function, especially when we want to compare the variation of multiple curve groups and when the mean functions are different for each curve group. Besides, obtaining coefficient of variation functions in terms of cubic B-Splines enables the interpretation of the first and second derivative functions of these functions and provides a stronger inference for the original curves. The utilization and effects of the proposed statistic is reported on a well-known data set from the literature. The results show that the proposed statistic reflects the variability of the data properly and this reflection gets clearer than that of the standard deviation function especially as mean functions differ. http://alphanumericjournal.com/media/Issue/volume-4-issue-2-2016/a-new-descriptive-statistic-for-functional-data-functional-c_XL7feRO.pdf coefficient of variation functiondescriptive statisticsfunctional data analysis |
| spellingShingle | İstem Köymen Keser İpek Deveci Kocakoç Ali Kemal Şehirlioğlu A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation Alphanumeric Journal coefficient of variation function descriptive statistics functional data analysis |
| title | A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation |
| title_full | A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation |
| title_fullStr | A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation |
| title_full_unstemmed | A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation |
| title_short | A New Descriptive Statistic for Functional Data: Functional Coefficient of Variation |
| title_sort | new descriptive statistic for functional data functional coefficient of variation |
| topic | coefficient of variation function descriptive statistics functional data analysis |
| url |
http://alphanumericjournal.com/media/Issue/volume-4-issue-2-2016/a-new-descriptive-statistic-for-functional-data-functional-c_XL7feRO.pdf
|
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