Stickelberger Ideals and Bernoulli Distributions

1978 ◽  
pp. 26-68
Author(s):  
Serge Lang
Keyword(s):  
Bernoulli Distributions

scholarly journals On Error Bounds for Approximations to Multivariate Distributions II

2002 ◽  
Vol 32 (1) ◽  
pp. 57-69
Author(s):  
Bjørn Sundt ◽  
Raluca Vernic
Keyword(s):  
Error Bounds ◽  
Random Variables ◽  
Independent Random Variables ◽  
Multivariate Distributions ◽  
Dependent Random Variables ◽  
Linear Transforms ◽  
Original Distribution ◽  
Multivariate Bernoulli ◽  
Bernoulli Distributions

AbstractIn the present paper, we study error bounds for approximations to multivariate distributions. In particular, we discuss some general versions of compound multivariate distributions and look at distributions of dependent random variables constructed by linear transforms of independent random variables or vectors. Special attention is paid to the case when the support of the original distribution is restricted. We also look at some applications with multivariate Bernoulli distributions.

scholarly journals Moments of infinite convolutions of symmetric Bernoulli distributions

2003 ◽  
Vol 153 (1-2) ◽  
pp. 191-199 ◽  
Author(s):  
C. Escribano ◽  
M.A. Sastre ◽  
E. Torrano
Keyword(s):  
Bernoulli Distributions

On Analytic Convolutions of Bernoulli Distributions

1934 ◽  
Vol 56 (1/4) ◽  
pp. 659 ◽  
Author(s):  
Aurel Wintner
Keyword(s):  
Bernoulli Distributions

A simultaneous characterization of the Poisson and bernoulli distributions

1981 ◽  
Vol 18 (1) ◽  
pp. 316-320 ◽  
Author(s):  
George Kimeldorf ◽  
Detlef Plachky ◽  
Allan R. Sampson
Keyword(s):  
Poisson Distribution ◽  
Random Variables ◽  
Independent Random Variables ◽  
Constant Independent ◽  
Bernoulli Distribution ◽  
Bernoulli Distributions

Let N, X1, X2, · ·· be non-constant independent random variables with X1, X2, · ·· being identically distributed and N being non-negative and integer-valued. It is shown that the independence of and implies that the Xi's have a Bernoulli distribution and N has a Poisson distribution. Other related characterization results are considered.

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