- The Galton–Watson process, also
called the
Bienaymé-Galton-Watson
process or the Galton-Watson
branching process, is a
branching stochastic process arising...
- In
probability theory, Chebyshev's
inequality (also
called the
Bienaymé–Chebyshev inequality)
provides an
upper bound on the
probability of
deviation of...
- In
probability theory, the
general form of
Bienaymé's identity,
named for Irénée-Jules
Bienaymé,
states that Var ( ∑ i = 1 n X i ) = ∑ i = 1 n Var ...
- Irénée-Jules
Bienaymé (French: [iʁene ʒyl bjɛ̃nɛme]; 28
August 1796 – 19
October 1878) was a
French statistician. He
built on the
legacy of
Laplace generalizing...
- j=1,i\neq j}^{N}\operatorname {Cov} (X_{i},X_{j}),} see also
general Bienaymé's identity.
These results lead to the
variance of a
linear combination as:...
- x n ) {\displaystyle T=(x_{1}+x_{2}+\cdots +x_{n})} ,
which due to the
Bienaymé formula, will have
variance Var ( T ) = Var ( x 1 ) + Var ( x 2 )...
-
independently discovered and
studied around three decades earlier by Irénée-Jules
Bienaymé.
Starting in 1928,
Maurice Fréchet
became interested in
Markov chains,...
-
central limit theorem;
Chebyshev cited earlier contributions by Irénée-Jules
Bienaymé. More recently, it has been
applied by
Eugene Wigner to
prove Wigner's...
- as a test
against trend." The test was
first published by Irénée-Jules
Bienaymé in 1874. The
turning point test is a test of the null
hypothesis H0: X1...
-
referring to Chebyshev's
inequality as the
second Chebyshev inequality) or
Bienaymé's inequality. Markov's
inequality (and
other similar inequalities) relate...
