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Yakovlevich Khinchin (Russian: Алекса́ндр Я́ковлевич Хи́нчин, French:
Alexandre Khintchine), July 19, 1894 –
November 18, 1959, was a
Soviet mathematician and one...
- In
applied mathematics, the Wiener–Khinchin
theorem or Wiener–
Khintchine theorem, also
known as the Wiener–Khinchin–Einstein
theorem or the Khinchin–Kolmogorov...
- In mathematics, the
Khintchine inequality,
named after Aleksandr Khinchin and
spelled in
multiple ways in the
Latin alphabet, is a
theorem from probability...
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characterized by its
characteristic function,
which is
given by the Lévy–
Khintchine formula (general for all
infinitely divisible distributions): If X = (...
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infinitely divisible law and
derived their characterization through the Lévy–
Khintchine representation. His 1948
monograph on
Brownian motion,
Processus stochastiques...
- In
probability theory, the Palm–
Khintchine theorem, the work of
Conny Palm and
Aleksandr Khinchin,
expresses that a
large number of
renewal processes,...
- and the base of the
natural logarithm e.
Khinchin is
sometimes spelled Khintchine (the
French transliteration of
Russian Хинчин) in
older mathematical literature...
- for some
constant c. Let p be a
positive real number. Then the
Khintchine inequality says that c 1 [ ∑ | a i | 2 ] 1 2 ≤ ( E [ | ∑ a i x i | p ]...
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Mathematische Zeitschrift. 32: 64–100. doi:10.1007/BF01194620.
Khintchine, A. Y (1932). "Mathematical
theory of a
stationary queue". Matematicheskii...
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Rademacher random variables can be
obtained using the Paley–Zygmund and the
Khintchine inequalities. Pukelsheim, F., 1994. The
Three Sigma Rule. The American...