Linnik theorem on the decomposition of the convolution of the normal and Poisson distributions

Linnik theorem on the decomposition of the convolution of the normal and Poisson distributions

← Previous revision Revision as of 00:57, 20 April 2026
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'''Linnik theorem on the decomposition of the convolution of the normal and Poisson distributions''' is a generalization of [[Cramér's decomposition theorem]] and [[Raikov's theorem]]. The theorem was proved by Yu. V. Linnik in 1957 in Linnik, Yu. V. (1957). On the Decomposition of the Convolution of Gaussian and Poissonian Laws. ''Theory of Probability and Its Applications''. '''2''' (1): 31–57. doi:10.1137/1102002.
'''Linnik theorem on the decomposition of the convolution of the normal and Poisson distributions''' is a generalization of [[Cramér's decomposition theorem]] and [[Raikov's theorem]]. The theorem was proved by Yu. V. Linnik in 1957 in Linnik, Yu. V. (1957). On the Decomposition of the Convolution of Gaussian and Poissonian Laws. ''Theory of Probability and Its Applications''. '''2''' (1): 31–57. https://doi.org/10.1137/1102002.


== Statement ==
== Statement ==