Geodesic
On Skitovich–Darmois–Ramachandran theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 3, pp. 418-426 Cet article a éte moissonné depuis la source Math-Net.Ru

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I. A. Ibragimov. On Skitovich–Darmois–Ramachandran theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 3, pp. 418-426. http://geodesic.mathdoc.fr/item/TVP_2012_57_3_a1/

[1] Bernshtein S. N., “Ob odnom svoistve, kharakteriziruyuschem zakon Gaussa”, Tr. Leningr. politekh. in-ta, 3, 1941, 21–22

[2] Skitovich V. P., “Ob odnom svoistve normalnogo raspredeleniya”, Dokl. AN SSSR, 89:2 (1953), 217–219

[3] Skitovich V. P., “Lineinye formy ot nezavisimykh sluchainykh velichin i normalnyi zakon raspredeleniya”, Izv. AN SSSR, 18:2 (1954), 185–200

[4] Darmois G., “Analyse générale des liaisons stochastiques. Étude particulière de l'analyse factorielle linéaire”, Rev. Inst. Internat. Statist., 21 (1953), 2–8 | DOI | MR | Zbl

[5] Kagan A. M., Linnik Yu. V., Rao S. R., Kharakterizatsionnye zadachi matematicheskoi statistiki, Nauka, M., 1972, 656 pp. | MR

[6] Linnik Yu. V., Razlozheniya veroyatnostnykh zakonov, Izd-vo Leningr. un-ta, L., 1960, 263 pp. | MR

[7] Mamai L. V., “K teorii kharakteristicheskikh funktsii”, Vestn. Leningr. un-ta, 1 (1960), 85–99 | MR | Zbl

[8] Ramachandran B., Teoriya kharakteristicheskikh funktsii, Nauka, M., 1975, 224 pp. | MR | Zbl

[9] Dub Dzh. L., Veroyatnostnye protsessy, IL, M., 1956, 605 pp. | MR

[10] Titchmarsh E. K., Teoriya funktsii, Nauka, M., 1980, 463 pp. | MR | Zbl