Cramér's decomposition theorem
Cramér’s decomposition theorem for a normal distribution is a result of probability theory. It is well known that, given independent normally distributed random variables ξ1, ξ2, their sum is normally distributed as well. It turns out that the converse is also true. The latter result, initially announced by Paul Lévy, has been proved by Harald Cramér. This became a starting point for a new subfield in probability theory, decomposition theory for random variables as sums of independent variables (also known as arithmetic of probabilistic distributions).
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Cramér's decomposition theorem
Cramér’s decomposition theorem for a normal distribution is a result of probability theory. It is well known that, given independent normally distributed random variables ξ1, ξ2, their sum is normally distributed as well. It turns out that the converse is also true. The latter result, initially announced by Paul Lévy, has been proved by Harald Cramér. This became a starting point for a new subfield in probability theory, decomposition theory for random variables as sums of independent variables (also known as arithmetic of probabilistic distributions).
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Cramér’s decomposition theorem ...... probabilistic distributions).
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In de kansrekening is de stell ...... ummanden ook normaal verdeeld.
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Теорема Крамера о разложении н ...... вероятностных распределений).
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Теорема Крамера про розклад но ...... тики ймовірнісних розподілів).
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Cramér’s decomposition theorem ...... probabilistic distributions).
@en
In de kansrekening is de stell ...... ummanden ook normaal verdeeld.
@nl
Теорема Крамера о разложении н ...... вероятностных распределений).
@ru
Теорема Крамера про розклад но ...... тики ймовірнісних розподілів).
@uk
label
Cramér's decomposition theorem
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Satz von Cramér (Normalverteilung)
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Stelling van Cramér
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Теорема Крамера о разложении нормального распределения
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Теорема Крамера про розклад нормального розподілу
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