Table 6 presents the reliability index [beta] regarding different values of the coefficient of variation for independent random variables
k] ([omega])'s are real and independent random variables
with mean zero and variance one.
0] we have [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is the sum of m independent random variables
which have all the same distribution as [S.
The selections are his first papers on probability 1924-36, the interaction with Paul Levy, infinitely divisible distributions, his book on the distribution of the sum of independent random variables
, teaching probability theory and analysis, and last papers on probability 1950-59.
Discriminant analysis is a technique for classifying and separating individuals into different groups (dependent variables) based on the set quantitative independent random variables
Ambagaspitiya(1998) considered a general method of constructing a vector of p dependent claim numbers from a vector of independent random variables
, derived formulae to get the correlated claims distribution.
Specific topics described include injectivity of the Dubins-Freedman construction of random distributions, almost sure convergence of weighted sums of independent random variables
, aperiodic order via dynamical systems, laws of iterated logarithm for weighted sums of iid random variables, and homeomorphic Bernoulli trial measures and ergodic theory.
R], it is easy to show that p and co are independent random variables
l] are realizations of independent random variables
with mean zero and finite variance.
K] [less than or equal to] x, the distribution function of the sum of k independent random variables
with the same distribution as U.
If X ~ HCM and Y ~ HCM are independent random variables
, then XY ~ HCM, X/Y ~ HCM, and [X.
2] independent random variables
with uniform distribution in the interval of (0, 1).