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Correlated z-values and the accuracy of large-scale statistical estimates
large-scale statistical estimates Correlated z-values
2015/8/20
We consider large-scale studies in which there are hundreds or thousands of correlated cases to investigate, each represented by its own normal variate, typically a
z-value. A familiar example is pro...
We study the bifurcation locus $B(f)$ of real polynomials $f: \bR^{2n} \to \bR^2$. We find a semialgebraic approximation of $B(f)$ by using the $\rho$-regularity condition and we compare it to the Sar...
Let $\Psi(n):=n\prod_{p | n}(1+\frac{1}{p})$ denote the Dedekind $\Psi$ function. Define, for $n\ge 3,$ the ratio $R(n):=\frac{\Psi(n)}{n\log\log n}.$ We prove unconditionally that $R(n)\le e^\gamma$...