Logarithmic Kurtosis - 4th moment

Description

Is a measure that describes tthe “tailedness” of the probability distribution of a real-valued random variable. Particles logarithmic mean size (1st moment) and logarithmic standard deviation (2nd moment) needs to be precalculated

Related formulas

Variables

K_ϕLogarithmic Kurtosis - 4th moment (dimensionless)
fiCumulative weight percent of the i particle size grade present (dimensionless)
m_ϕMid-point of the i particle size grade present (ϕ)
X_ϕLogarirmic Mean Size - 1st moment (ϕ)
σ_ϕLogarithmic Standard deviation - 2nd moment (ϕ)