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Shuffle of min’s random variable approximations of bivariate copulas’realization
Copula Shuffle of Min approximation Narrow bounds of copula
2016/1/26
The comonotonicity and countermonotonicity provide intuitive upper and lower depen-dence relationship between random variables. This paper constructs the shuffle of min’s ran-domvariableapproximations...
Shuffle of min’s random variable approximations of bivariate copulas’realization
random variable approximations bivariate copulas realization
2016/1/20
The comonotonicity and countermonotonicity provide intuitive upper and lower depen-dence relationship between random variables. This paper constructs the shuffle of min’s ran-domvariableapproximations...
On the approximation of a random variable by a conditioning of a given sequence
Condtional expectation almost sure convergence stochastics onvergence
2009/9/21
Let (a,$ Pj,I IN a non-atomic probability spa- If(Xw)
is a sequenm 5f r.y.'s satisry'ying X, -+ Q as. (respeclitrely, in probability)
a s n - , ~ and EX:-+ca, EX;-=+w as n-roo, th@n for any tv. Y
t...
On the sequences whose conditional expectations can approximate any random variable
Conditional expectation almost sure convergence
2009/9/21
Let [Q, 5, P) be a non-atomic probability space. For
a given sequence (XJ of random variables we indicate a number of
conditions which imply that for any random variable Y there exists
a sequence (...
ON THE APPROXIMATION OF A RANDOM VARIABLE BY A CONDITIONAL EXPECTATION OF ANOTHER RANDOM VARIABLE
Conditional expectation
2009/9/18
Let X and Y be R-valued random variables on a nonatomic
probability space (8, 5, P). We give conditions under which
Y can be approximated by a conditional expectation of X. In particular,
we prove ...
A rigorous lower confidence bound for the expectation of a positive random variable
rigorous lower confidence positive random variable
2009/9/16
Given an IID sample from a positive distribution, we provide a method for constructing rigorous finite sample lower confidence bounds for the expectation of the distribution. The method is based on co...