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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...
-
characterized by its
characteristic function,
which is
given by the Lévy–
Khintchine formula (general for all
infinitely divisible distributions): If X = (...
- mean); The base of the
natural logarithm e.
Khinchin is
sometimes spelled Khintchine (the
French transliteration of
Russian Хинчин) in
older mathematical literature...
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Mathematische Zeitschrift. 32: 64–100. doi:10.1007/BF01194620.
Khintchine, A. Y (1932). "Mathematical
theory of a
stationary queue". Matematicheskii...
-
infinitely divisible law and
derived their characterization through the Lévy–
Khintchine representation. His 1948
monograph on
Brownian motion,
Processus stochastiques...
- The
Khintchine inequality, is a
result in
probability also
frequently used in
analysis bounding the
expectation a
weighted sum of
Rademacher random variables...
- In
probability theory, the Palm–
Khintchine theorem, the work of
Conny Palm and
Aleksandr Khinchin,
expresses that a
large number of
renewal processes,...
- Bibcode:1934PNAS...20..376D. doi:10.1073/pnas.20.6.376. PMC 1076423. PMID 16587907.
Khintchine, A. (1934). "Korrelationstheorie der
stationeren stochastischen Prozesse"...
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explicitly the
additive process characteristic function using the Lévy–
Khintchine formula: φ X ( u ) ( t ) := E [ e i u ′ X t ] = exp ( u ′ γ t i −...