Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data
The inaccuracy measure has recently become a valuable tool for detecting errors in experimental data. This measure applies only when random variables have density functions. To circumvent this constraint, the cumulative inaccuracy measure is a commonly used alternative measure of inaccuracy in the l...
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| Format: | Article |
| Language: | English |
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University of Bologna
2025-04-01
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| Series: | Statistica |
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| Online Access: | https://rivista-statistica.unibo.it/article/view/19565 |
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| author | K.V. Viswakala E.I. Abdul Sathar |
| author_facet | K.V. Viswakala E.I. Abdul Sathar |
| author_sort | K.V. Viswakala |
| collection | DOAJ |
| description | The inaccuracy measure has recently become a valuable tool for detecting errors in experimental data. This measure applies only when random variables have density functions. To circumvent this constraint, the cumulative inaccuracy measure is a commonly used alternative measure of inaccuracy in the literature. When the observations generated by a stochastic process are recorded using a weight function, weighted distributions are established. Based on right-censored dependent data, we provide a nonparametric estimate for the weighted dynamic cumulative past inaccuracy measure in this study. The proposed estimator’s asymptotic characteristics have been examined, and its performance demonstrated through simulated and real-world data sets. |
| format | Article |
| id | doaj-art-ec0e5291ade74eeabbfff56670389ca1 |
| institution | OA Journals |
| issn | 0390-590X 1973-2201 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj-art-ec0e5291ade74eeabbfff56670389ca12025-08-20T02:16:39ZengUniversity of BolognaStatistica0390-590X1973-22012025-04-0183422324510.6092/issn.1973-2201/1956517930Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored DataK.V. Viswakala0E.I. Abdul Sathar1SQC & OR Unit, Indian Statistical Institute, Bangalore, Karnataka, IndiaUniversity of Kerala, Thiruvananthapuram, Kerala, IndiaThe inaccuracy measure has recently become a valuable tool for detecting errors in experimental data. This measure applies only when random variables have density functions. To circumvent this constraint, the cumulative inaccuracy measure is a commonly used alternative measure of inaccuracy in the literature. When the observations generated by a stochastic process are recorded using a weight function, weighted distributions are established. Based on right-censored dependent data, we provide a nonparametric estimate for the weighted dynamic cumulative past inaccuracy measure in this study. The proposed estimator’s asymptotic characteristics have been examined, and its performance demonstrated through simulated and real-world data sets.https://rivista-statistica.unibo.it/article/view/19565alpha-mixinginformation measuresrecursive kernel density estimatorright-censored dataweighted dynamic cumulative past inaccuracy measure |
| spellingShingle | K.V. Viswakala E.I. Abdul Sathar Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data Statistica alpha-mixing information measures recursive kernel density estimator right-censored data weighted dynamic cumulative past inaccuracy measure |
| title | Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data |
| title_full | Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data |
| title_fullStr | Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data |
| title_full_unstemmed | Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data |
| title_short | Non-parametric Kernel Estimation of Weighted Dynamic Cumulative Past Inaccuracy Measure Based on Censored Data |
| title_sort | non parametric kernel estimation of weighted dynamic cumulative past inaccuracy measure based on censored data |
| topic | alpha-mixing information measures recursive kernel density estimator right-censored data weighted dynamic cumulative past inaccuracy measure |
| url | https://rivista-statistica.unibo.it/article/view/19565 |
| work_keys_str_mv | AT kvviswakala nonparametrickernelestimationofweighteddynamiccumulativepastinaccuracymeasurebasedoncensoreddata AT eiabdulsathar nonparametrickernelestimationofweighteddynamiccumulativepastinaccuracymeasurebasedoncensoreddata |