Nous discutons d'une propriété d'unicité pour : les fonctions caractéristiques des mesures de probabilité. Notre étude tire son origine dans la question de N.G. Ushakov : étant donné , , est-il vrai qu'il existe une fonction caractéristique f telle que , mais vérifiant pour ?
We discuss a uniqueness property of the characteristic function of an absolutely continuous probability measure. Our study is initiated by the question posed by N.G. Ushakov: is it true that, for any interval , , there exists a characteristic function f such that , but for all ?
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@article{CRMATH_2017__355_8_920_0, author = {Norvidas, Saulius}, title = {A theorem of uniqueness for characteristic functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {920--924}, publisher = {Elsevier}, volume = {355}, number = {8}, year = {2017}, doi = {10.1016/j.crma.2017.07.005}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2017.07.005/} }
TY - JOUR AU - Norvidas, Saulius TI - A theorem of uniqueness for characteristic functions JO - Comptes Rendus. Mathématique PY - 2017 SP - 920 EP - 924 VL - 355 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.07.005/ DO - 10.1016/j.crma.2017.07.005 LA - en ID - CRMATH_2017__355_8_920_0 ER -
Norvidas, Saulius. A theorem of uniqueness for characteristic functions. Comptes Rendus. Mathématique, Tome 355 (2017) no. 8, pp. 920-924. doi : 10.1016/j.crma.2017.07.005. http://www.numdam.org/articles/10.1016/j.crma.2017.07.005/
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