On the stability estimation of Wang's characterization theorem
An important and useful characterization of the Weibull distribution is its lack of memory (of order a) property, i.e., P (X ≥ a√(xa + ya)|X ≥ y ) = P(X ≥ x) for all x, y ≥ 0. The technique commonly employed in proving this characterization is the well-known Cauchy functional equation φ(a√(xa + ya...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2002-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/33059 |
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| _version_ | 1825197216306823168 |
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| author | Romanas Januškevičius |
| author_facet | Romanas Januškevičius |
| author_sort | Romanas Januškevičius |
| collection | DOAJ |
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An important and useful characterization of the Weibull distribution is its lack of memory (of order a) property, i.e., P (X ≥ a√(xa + ya)|X ≥ y ) = P(X ≥ x) for all x, y ≥ 0. The technique commonly employed in proving this characterization is the well-known Cauchy functional equation φ(a√(xa + ya)) = φ(x)φ(y). The stability estimation in this characterization of the Weibull distribution is analysied.
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| format | Article |
| id | doaj-art-095b424e7d6f4bd5b1efb69e85322b90 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2002-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-095b424e7d6f4bd5b1efb69e85322b902025-02-11T18:13:06ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2002-12-0142spec.10.15388/LMR.2002.33059On the stability estimation of Wang's characterization theoremRomanas Januškevičius0Vilnius Pedagogical University An important and useful characterization of the Weibull distribution is its lack of memory (of order a) property, i.e., P (X ≥ a√(xa + ya)|X ≥ y ) = P(X ≥ x) for all x, y ≥ 0. The technique commonly employed in proving this characterization is the well-known Cauchy functional equation φ(a√(xa + ya)) = φ(x)φ(y). The stability estimation in this characterization of the Weibull distribution is analysied. https://www.zurnalai.vu.lt/LMR/article/view/33059 |
| spellingShingle | Romanas Januškevičius On the stability estimation of Wang's characterization theorem Lietuvos Matematikos Rinkinys |
| title | On the stability estimation of Wang's characterization theorem |
| title_full | On the stability estimation of Wang's characterization theorem |
| title_fullStr | On the stability estimation of Wang's characterization theorem |
| title_full_unstemmed | On the stability estimation of Wang's characterization theorem |
| title_short | On the stability estimation of Wang's characterization theorem |
| title_sort | on the stability estimation of wang s characterization theorem |
| url | https://www.zurnalai.vu.lt/LMR/article/view/33059 |
| work_keys_str_mv | AT romanasjanuskevicius onthestabilityestimationofwangscharacterizationtheorem |