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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2312.13805 |
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| _version_ | 1866911753398386688 |
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| author | Hu, Dongdong Yuan, Linglong Zhao, Minzhi |
| author_facet | Hu, Dongdong Yuan, Linglong Zhao, Minzhi |
| contents | The ratio of Laplace transforms of powers of a function arises in the context of auction theory. The question whether a function is uniquely identified by this ratio has been answered affirmatively, if the function is non-negative, non-decreasing and right analytic.This paper extends the result to a larger class of functions without monotonicity.A conjecture in the literature says that all càdlàg functions can be identified by the ratio. We disprove this conjecture by providing simple functions that cannot be identified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13805 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Revisiting the identification problem of a function by the ratio of Laplace transforms of powers Hu, Dongdong Yuan, Linglong Zhao, Minzhi Classical Analysis and ODEs Probability 44A10, 26A99, 26E05, 91B26 The ratio of Laplace transforms of powers of a function arises in the context of auction theory. The question whether a function is uniquely identified by this ratio has been answered affirmatively, if the function is non-negative, non-decreasing and right analytic.This paper extends the result to a larger class of functions without monotonicity.A conjecture in the literature says that all càdlàg functions can be identified by the ratio. We disprove this conjecture by providing simple functions that cannot be identified. |
| title | Revisiting the identification problem of a function by the ratio of Laplace transforms of powers |
| topic | Classical Analysis and ODEs Probability 44A10, 26A99, 26E05, 91B26 |
| url | https://arxiv.org/abs/2312.13805 |