On the non-existence of a discrete power series distribution with a constant coefficient of variation
Non-existence of distributions with constant coefficient of variation(CV) is investigated within the discrete Power Series and Modified Power Series families of distributions. The development is used to revisit and comment on the problem of existence of a better but biased estimator.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-11-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X2300006X |
| _version_ | 1797796358196822016 |
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| author | Rahul Bhattacharya Taranga Mukherjee |
| author_facet | Rahul Bhattacharya Taranga Mukherjee |
| author_sort | Rahul Bhattacharya |
| collection | DOAJ |
| description | Non-existence of distributions with constant coefficient of variation(CV) is investigated within the discrete Power Series and Modified Power Series families of distributions. The development is used to revisit and comment on the problem of existence of a better but biased estimator. |
| first_indexed | 2024-03-13T03:31:52Z |
| format | Article |
| id | doaj.art-e923468962d042fb90266e5c92fe7edf |
| institution | Directory Open Access Journal |
| issn | 2666-657X |
| language | English |
| last_indexed | 2024-03-13T03:31:52Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj.art-e923468962d042fb90266e5c92fe7edf2023-06-24T05:19:35ZengElsevierExamples and Counterexamples2666-657X2023-11-013100104On the non-existence of a discrete power series distribution with a constant coefficient of variationRahul Bhattacharya0Taranga Mukherjee1Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata 700 019, India; Corresponding author.Department of Applied Sciences, Maulana Abul Kalam Azad University of Technology, West Bengal, IndiaNon-existence of distributions with constant coefficient of variation(CV) is investigated within the discrete Power Series and Modified Power Series families of distributions. The development is used to revisit and comment on the problem of existence of a better but biased estimator.http://www.sciencedirect.com/science/article/pii/S2666657X2300006XBiased estimatorMean square errorPower series distribution |
| spellingShingle | Rahul Bhattacharya Taranga Mukherjee On the non-existence of a discrete power series distribution with a constant coefficient of variation Examples and Counterexamples Biased estimator Mean square error Power series distribution |
| title | On the non-existence of a discrete power series distribution with a constant coefficient of variation |
| title_full | On the non-existence of a discrete power series distribution with a constant coefficient of variation |
| title_fullStr | On the non-existence of a discrete power series distribution with a constant coefficient of variation |
| title_full_unstemmed | On the non-existence of a discrete power series distribution with a constant coefficient of variation |
| title_short | On the non-existence of a discrete power series distribution with a constant coefficient of variation |
| title_sort | on the non existence of a discrete power series distribution with a constant coefficient of variation |
| topic | Biased estimator Mean square error Power series distribution |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X2300006X |
| work_keys_str_mv | AT rahulbhattacharya onthenonexistenceofadiscretepowerseriesdistributionwithaconstantcoefficientofvariation AT tarangamukherjee onthenonexistenceofadiscretepowerseriesdistributionwithaconstantcoefficientofvariation |