confidence limit exponent ζ(ϕ;n) = ±√(-ln(ϕ)/n)

ζ(ϕ;n) = ±√(-ln(ϕ)/n) = confidence limit exponent zeta deisenroth = ζd(ϕd;n) = ln(x/µ)/ln(σd)/√n

probability factor phi(x/µ;sigma;n) deisenroth = ϕ(x/µ;σ;n)

ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

probability factor sigma(phi;n) deisenroth = σ(ϕ;n)

σ(ϕ;n) = σ^±√(-ln(ϕ)/n) = x(ϕ;n)/µ

x(ϕ;n) = µ∗σ^±√(-ln(ϕ)/n)

x(phi,sigma,µ,n) deisenroth

x(ϕ;σ;µ;n) = µ∗σ^±√(-ln(ϕ)/n)

x(zeta,sigma,µ) deisenroth

x(ζ;σ;µ) = µ∗σ^±ζ

x(zeta,sigma,phi;µ) deisenroth

x(ζ;σ;ϕ;µ) = µ∗σ^±ζ(ϕ)

x(zeta,sigma,µ,n) deisenroth

x(ζ;σ;µ;n) = µ∗σ^(±ζ/√n)

probability exponent zeta deisenroth = ζ

ζ = ±√(-ln(ϕ)) = ln(x/µ)/ln(σ)

probability exponent zeta(phi) deisenroth = ζ(ϕ)

ζ(ϕ) = ±√(-ln(ϕ)) = ln(x/µ)/ln(σ) = probablitiy exponent zeta(phi) deisenroth

probability exponent zeta(phi;n) deisenroth = ζ(ϕ;n)

ζ(ϕ;n) = ±√(-ln(ϕ)/n) = ln(x/µ)/ln(σ)/√n = probablitiy exponent zeta(phi;n) deisenroth

probability exponent zeta(x/µ;sigma) deisenroth = ζ(x/µ;σ)

ζ(x/µ;σ) = ln(x/µ)/ln(σ) = ±√(-ln(ϕ)) = probablitiy exponent zeta(x/µ;sigma) deisenroth

probability exponent zeta(x/µ;sigma;n) deisenroth = ζ(x/µ;σ;n)

ζ(x/µ;σ;n) = ln(x/µ)/ln(σ)/√n = ±√(-ln(ϕ)/n) = probablitiy exponent zeta(x/µ;sigma;n) deisenroth

probability factor phi(zeta) deisenroth = ϕ(ζ)

ϕ(ζ) = e^-(ζ^2)

probability factor phi(zeta,n) deisenroth = ϕ(ζ;n)

ϕ(ζ;n) = e^-(ζ^2/n) = e^-(ζ^2/n )

probability factor phi(n) deisenroth = ϕ(n)

ϕ(n) = ϕ^(-1/n) = ϕ^n

standard factor sigma deisenroth σ and s (standardfaktor sigma deisenroth)

σ = e^(2*ln(µari/µgeo))^0,5 = true standard factor sigma (wahrer standardfaktor sigma deisenroth) = σd

s = e^(2*ln(xari/xgeo))^0,5 = estimated standard factor sigma (geschätzter standardfaktor sigma deisenroth) = sd