- In
probability theory, the
general form of
Bienaymé's identity states that Var ( ∑ i = 1 n X i ) = ∑ i = 1 n Var ( X i ) + 2 ∑ i , j = 1 i < j n Cov...
- 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...
- work by I. J.
Bienaymé; see.
Their solution is incomplete,
according to
which all
family names go
extinct with
probability 1.
Bienaymé published the answer...
- In
probability theory, Chebyshev's
inequality (also
called the
Bienaymé–Chebyshev inequality)
provides an
upper bound on the
probability of
deviation of...
- (X_{i})+\sum _{i\neq j}\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...
-
French historian Irénée
Berge (1867–1926),
French composer Irénée-Jules
Bienaymé (1796–1878),
French statistician Irénée du Pont (1876–1963), U.S. businessman...
-
central limit theorem;
Chebyshev cited earlier contributions by Irénée-Jules
Bienaymé. More recently, it has been
applied by
Eugene Wigner to
prove Wigner's...
-
classic CLT has a more
complicated definition. See also the
general form of
Bienaymé's identity.
Suppose that: the
sequence X 1 , X 2 , X 3 , … {\textstyle X_{1}...
- 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...
