General weighted cumulative residual (past) extropy of minimum (maximum) ranked set sampling with unequal samples
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913322728685568 |
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| author | Chaudhary, Santosh Kumar Gupta, Nitin |
| author_facet | Chaudhary, Santosh Kumar Gupta, Nitin |
| contents | The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this paper. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty measures for the minimal ranked set sampling technique with unequal samples (minRSSU). Additionally, we take into account GWCPJ-based uncertainty measures for the maximum ranked set sampling technique with unequal samples (maxRSSU). Stochastic comparison for Simple random sampling (SRS) is discussed. We looked at the monotone properties of minRSSU and maxRSSU as well as stochastic comparison. Finally, two empirical estimators of GWCPJ and GWCRJ are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_13561 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | General weighted cumulative residual (past) extropy of minimum (maximum) ranked set sampling with unequal samples Chaudhary, Santosh Kumar Gupta, Nitin Statistics Theory 62B10, 62D05, 60E15 The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this paper. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty measures for the minimal ranked set sampling technique with unequal samples (minRSSU). Additionally, we take into account GWCPJ-based uncertainty measures for the maximum ranked set sampling technique with unequal samples (maxRSSU). Stochastic comparison for Simple random sampling (SRS) is discussed. We looked at the monotone properties of minRSSU and maxRSSU as well as stochastic comparison. Finally, two empirical estimators of GWCPJ and GWCRJ are obtained. |
| title | General weighted cumulative residual (past) extropy of minimum (maximum) ranked set sampling with unequal samples |
| topic | Statistics Theory 62B10, 62D05, 60E15 |
| url | https://arxiv.org/abs/2301.13561 |