scattering probability limit cover factor normal distribution sigma (σdij) zeta (ζdij) phi (ϕdij) deisenroth

scattering probability limit cover factor normal distribution sigma (σdij) zeta (ζdij) phi (ϕdij) deisenroth

xgeo difference factor sigma deisenroth σddiff

σddiff = xgeo1 / xgeo2 = 3 = xgeo difference factor sigma deisenroth σddiff

standard scattering probability limit factor sigma deisenroth σdi

σd1 = σd2 = 2 = standard scattering probability limit factor sigma deisenroth σdi

n1 = 1; n2 = 100

scattering probabiliy limit factor normal distribution sigma (σdi) zeta (ζdi) phi (ϕdi) deisenroth

σdi(ϕd;σdi;ni) = σdi^(±√(-ln⁡(фd)/ni))

=σdi^(± ζdi(ϕd;ni))

=xi(ϕd;σdi;ni)/µgeoi

scattering probabiliy limit cover factor normal distribution sigma (σdij) zeta (ζdij) phi (ϕdij) deisenroth

ζdij(σddiff; σdi; ni) = ln⁡ (σddiff /(ln⁡σd1/(√(n1))+ ln⁡σd2/(√(n2 )))= ln⁡σddiff/(ln⁡σd1/√(n1) - ln⁡σd2/(√(n2))) = probability cover exponent zeta deisenroth ζdij

ϕdij(σddiff, σdi; ni)=e^(-ζdijmin^2) and e^(-ζdijmax^2) = probability cover factor phi deisenroth ϕdij

σdij(σdi; σddiff; ni) = σdi^(± ζdij)=σdi^(±√(-ln⁡(ϕdmin)/ni)) and σdi^(±√(-ln(⁡ϕdmax)/ni))= scattering cover factor sigma deisenroth σdij