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Following, we focus on probability distributions (more precisely, probability density functions (PDFs) and empirical cumulative density functions (ECDFs)) as a means of capturing the mean state, variability and extremes of a local, regional or global climatic state. For a particular variable, over a particular domain, three such quantifications are considered here:  \cite{Gent2011}\cite{IPCC5.1}\cite{Leith1978}\cite{Leith1985}\cite{Lovejoy2013}\cite{Massey1951}\cite{Schneider1974}  \subsubsection*{Climate Quantifications}\label{ClimQuants}  \begin{description}