= Polynomial moment bounds for the adjustment coefficient
{title2=$R<r_2<r_1,\quad r_1=2\rho\mu/m_2,\quad m_3r_2^2+3m_2r_2-6\rho\mu=0$}
= Moment bounds for the adjustment coefficient
{synonym}
For positive claims with a finite positive <moment-generating function> neighbourhood, use $e^u>1+u+u^2/2$ and $e^u>1+u+u^2/2+u^3/6$ for $u>0$ in the defining <adjustment coefficient> equation. They imply the displayed strict <upper bounds>, where $r_2$ is the positive quadratic root. Its defining <polynomial> is negative at zero and positive at $r_1$, proving $r_2<r_1$. Higher exponential-series truncations similarly yield <upper bounds> from more raw <moments>.
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