On a sum form functional equation emerging from statistics and its applications
In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.
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| Format: | Article |
| Language: | English |
| Published: |
Erdal KARAPINAR
2021-06-01
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| Series: | Results in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/1456008 |
| _version_ | 1828024517362974720 |
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| author | Dhiraj Kumar Singh, Shveta Grover |
| author_facet | Dhiraj Kumar Singh, Shveta Grover |
| author_sort | Dhiraj Kumar Singh, Shveta Grover |
| collection | DOAJ |
| description | In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed. |
| first_indexed | 2024-04-10T12:44:48Z |
| format | Article |
| id | doaj.art-0f0cf96a0fba4b41a4945f988b6b50f8 |
| institution | Directory Open Access Journal |
| issn | 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T12:44:48Z |
| publishDate | 2021-06-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-0f0cf96a0fba4b41a4945f988b6b50f82023-02-15T16:14:05ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562021-06-01426576https://doi.org/10.53006/rna.843040On a sum form functional equation emerging from statistics and its applicationsDhiraj Kumar Singh, Shveta GroverIn this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.https://dergipark.org.tr/en/download/article-file/1456008additive mappingbounded mappinglinear mappinglogarithmic mappingthe entropies of type (α β)diversity indexexpectation of a discrete random variable |
| spellingShingle | Dhiraj Kumar Singh, Shveta Grover On a sum form functional equation emerging from statistics and its applications Results in Nonlinear Analysis additive mapping bounded mapping linear mapping logarithmic mapping the entropies of type (α β) diversity index expectation of a discrete random variable |
| title | On a sum form functional equation emerging from statistics and its applications |
| title_full | On a sum form functional equation emerging from statistics and its applications |
| title_fullStr | On a sum form functional equation emerging from statistics and its applications |
| title_full_unstemmed | On a sum form functional equation emerging from statistics and its applications |
| title_short | On a sum form functional equation emerging from statistics and its applications |
| title_sort | on a sum form functional equation emerging from statistics and its applications |
| topic | additive mapping bounded mapping linear mapping logarithmic mapping the entropies of type (α β) diversity index expectation of a discrete random variable |
| url | https://dergipark.org.tr/en/download/article-file/1456008 |
| work_keys_str_mv | AT dhirajkumarsinghshvetagrover onasumformfunctionalequationemergingfromstatisticsanditsapplications |