On the convergence of entropy for K-th extreme
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910528874479616 |
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| author | Saeb, Ali |
| author_facet | Saeb, Ali |
| contents | Let recall that the term 'k-th extreme' was introduced in a limiting sense. That is, if $X_{r:n}$ denote the r-th order statistic then for fix k, as $n\to\infty$, $X_{n-k+1:n}$ is called the k-th extremes or k-th largest order statistics. In this paper, we study entropy limit theorems for k-th largest order statistics under linear normalization. We show the necessary and sufficient conditions which convergence entropy of k-th extreme holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11264 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the convergence of entropy for K-th extreme Saeb, Ali Statistics Theory 60-F10 Let recall that the term 'k-th extreme' was introduced in a limiting sense. That is, if $X_{r:n}$ denote the r-th order statistic then for fix k, as $n\to\infty$, $X_{n-k+1:n}$ is called the k-th extremes or k-th largest order statistics. In this paper, we study entropy limit theorems for k-th largest order statistics under linear normalization. We show the necessary and sufficient conditions which convergence entropy of k-th extreme holds. |
| title | On the convergence of entropy for K-th extreme |
| topic | Statistics Theory 60-F10 |
| url | https://arxiv.org/abs/2407.11264 |