混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution)
Let {Xs, 1≤s≤n} be independent and identically distributed, and X1:n, X2:n, …, Xn:n be the corresponding order statistics. When Xs follows the mixed exponential distribution with parameters p(0<p<1), λ1, λ2 (0<λ1≤λ2)，the explicit formulas for the q order origin moments of Xs:n are obtained...
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2011-03-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2011.02.004 |
| _version_ | 1797236055138631680 |
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| author | KUANGNeng-hui(匡能晖) |
| author_facet | KUANGNeng-hui(匡能晖) |
| author_sort | KUANGNeng-hui(匡能晖) |
| collection | DOAJ |
| description | Let {Xs, 1≤s≤n} be independent and identically distributed, and X1:n, X2:n, …, Xn:n be the corresponding order statistics. When Xs follows the mixed exponential distribution with parameters p(0<p<1), λ1, λ2 (0<λ1≤λ2)，the explicit formulas for the q order origin moments of Xs:n are obtained (q is a positive integer and 1≤s≤n). It is proved that the sample intervals of their order statistics are not independent and not identically distributed. What's more, the asymptotic distributions of their extreme order statistics X1:n and Xn:n are discussed. |
| first_indexed | 2024-04-24T16:57:46Z |
| format | Article |
| id | doaj.art-9c2d19f2dd774be3830b49149bdf509f |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:57:46Z |
| publishDate | 2011-03-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-9c2d19f2dd774be3830b49149bdf509f2024-03-29T01:58:29ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972011-03-0138213513910.3785/j.issn.1008-9497.2011.02.004混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution)KUANGNeng-hui(匡能晖)0(School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan Province, China)Let {Xs, 1≤s≤n} be independent and identically distributed, and X1:n, X2:n, …, Xn:n be the corresponding order statistics. When Xs follows the mixed exponential distribution with parameters p(0<p<1), λ1, λ2 (0<λ1≤λ2)，the explicit formulas for the q order origin moments of Xs:n are obtained (q is a positive integer and 1≤s≤n). It is proved that the sample intervals of their order statistics are not independent and not identically distributed. What's more, the asymptotic distributions of their extreme order statistics X1:n and Xn:n are discussed.https://doi.org/10.3785/j.issn.1008-9497.2011.02.004the mixed exponential distributionorder statisticorigin momentasymptotic distribution |
| spellingShingle | KUANGNeng-hui(匡能晖) 混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution) Zhejiang Daxue xuebao. Lixue ban the mixed exponential distribution order statistic origin moment asymptotic distribution |
| title | 混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution) |
| title_full | 混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution) |
| title_fullStr | 混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution) |
| title_full_unstemmed | 混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution) |
| title_short | 混合指数分布顺序统计量的性质(On properties of order statistics from the mixed exponential distribution) |
| title_sort | 混合指数分布顺序统计量的性质 on properties of order statistics from the mixed exponential distribution |
| topic | the mixed exponential distribution order statistic origin moment asymptotic distribution |
| url | https://doi.org/10.3785/j.issn.1008-9497.2011.02.004 |
| work_keys_str_mv | AT kuangnenghuikuāngnénghuī hùnhézhǐshùfēnbùshùnxùtǒngjìliàngdexìngzhìonpropertiesoforderstatisticsfromthemixedexponentialdistribution |