Characterizations of distributions via record values with random exponential shifts
Some new characterizations of probability distributions based on properties of record values shifted by independent exponential variables are obtained. Explicit expressions for the inverse functions of the corresponding variables are presented. Among others some characterizations of exponential dist...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2014-12-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/14754.pdf |
| _version_ | 1828365459914752000 |
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| author | Mohammad Ahsanullah Valery B. Nevzorov Ludmila Nevzorova |
| author_facet | Mohammad Ahsanullah Valery B. Nevzorov Ludmila Nevzorova |
| author_sort | Mohammad Ahsanullah |
| collection | DOAJ |
| description | Some new characterizations of probability distributions based on properties of record values shifted by independent exponential variables are obtained. Explicit expressions for the inverse functions of the corresponding variables are presented. Among others some characterizations of exponential distributions and limiting distributions of maximal and minimal extreme values are given. |
| first_indexed | 2024-04-14T05:30:30Z |
| format | Article |
| id | doaj.art-dae454d9d30342bb99391586a6a82bb0 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-04-14T05:30:30Z |
| publishDate | 2014-12-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-dae454d9d30342bb99391586a6a82bb02022-12-22T02:09:48ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872014-12-0113410.2991/jsta.2014.13.4.4Characterizations of distributions via record values with random exponential shiftsMohammad AhsanullahValery B. NevzorovLudmila NevzorovaSome new characterizations of probability distributions based on properties of record values shifted by independent exponential variables are obtained. Explicit expressions for the inverse functions of the corresponding variables are presented. Among others some characterizations of exponential distributions and limiting distributions of maximal and minimal extreme values are given.https://www.atlantis-press.com/article/14754.pdfCharacterizations; Order statistics; Record values; Exponential distribution; Weibull distribution |
| spellingShingle | Mohammad Ahsanullah Valery B. Nevzorov Ludmila Nevzorova Characterizations of distributions via record values with random exponential shifts Journal of Statistical Theory and Applications (JSTA) Characterizations; Order statistics; Record values; Exponential distribution; Weibull distribution |
| title | Characterizations of distributions via record values with random exponential shifts |
| title_full | Characterizations of distributions via record values with random exponential shifts |
| title_fullStr | Characterizations of distributions via record values with random exponential shifts |
| title_full_unstemmed | Characterizations of distributions via record values with random exponential shifts |
| title_short | Characterizations of distributions via record values with random exponential shifts |
| title_sort | characterizations of distributions via record values with random exponential shifts |
| topic | Characterizations; Order statistics; Record values; Exponential distribution; Weibull distribution |
| url | https://www.atlantis-press.com/article/14754.pdf |
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