Impressum

Frank Deisenroth

Seligenstädter Weg 4

63796 Kahl am Main

Tel.: 0179 / 110 3096

deisenroth@gmail.com

© Frank Deisenroth, Alle Rechte vorbehalten.

phi faktor normalverteilung ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σd))²)

probability factor normal distribution deisenroth phi(x)

phi faktor normalverteilung ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

phi factor normal distribution ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

phi factor normal distribution ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

phi cum faktor normalverteilung deisenroth = ϕ_c = 0,5*ϕ(x/µ;σ;n)= 0,5*e^(-n*(ln(x/µ)/ln(σ))²) = 0,5*ϕd(x/µ;σd;n)

phi cum factor normal distribution deisenroth = ϕ_c = 0,5*ϕ(x/µ;σ;n)= 0,5*e^(-n*(ln(x/µ)/ln(σ))²) = 0,5*ϕd(x/µ;σd;n)

phi cum faktor produkt normalverteilung deisenroth = ϕ_cp;n = ϕcⁿ

phi cum factor product normal distribution deisenroth = ϕ_cp;n = ϕcⁿ

Impressum phi factor normal distribution ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

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)/µ

x(ϕ;n) = µ∗σ^±√(-ln(ϕ)/n)

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

ϕ(n) = ϕ^n

standard normal factor sigma deisenroth σ and s (standard normal faktor sigma deisenroth)

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

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

true arithmetic mean (µari) and true geometric mean (µgeo or µ)

µari = true arithmetic mean (wahrer arithmetischer mittelwert)

µgeo = true geometric mean (wahrer geometrischer mittelwert)

µari = µgeo*e^(0,5*ln(σ)^2)

µgeo = µari/e^(0,5*ln(σ)^2)

estimated arithmetic mean (xari) and estimated geometric mean (xgeo)

xari = estimated arithmetic mean (geschätzter arithmetischer mittelwert)

xgeo = estimeted geometric mean (geschätzter geometrischer mittelwert)

xgeo(x_i;n) = e^(1/n*((ln(x₁)+ln(x₂)+.....+ln(x_n)))

xgeo(s;xari) = xari/e^(0,5*ln(s)^2)

xari(x_i;n) = 1/n*(x₁+x₂+ ....+x_n)

xari(s;xgeo) = xgeo*e^(0,5*ln(s)^2)

phi faktor normalverteilung ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

phi faktor normalverteilung ϕd(x/µ;σd;n) = e^(-n*(ln(x/µ)/ln(σd))²)

phi factor normal distribution ϕ(x/µ;σ;n) = e^(-n*(ln(x/µ)/ln(σ))²)

phi factor normal distribution ϕd(x/µ;σd;n) = e^(-n*(ln(x/µ)/ln(σd))²)

phi cumulative factor distribution function = ϕc = 0,5*ϕd(x/µ;σd;n)

cumulative probability limit factor distribution function phi-cum deisenroth = ϕc(x/µ;σd;n) = 1/2*ϕd(x/µ;σc;n) and sigma-cum deisenroth = σc(ϕc;n) = σd^(±√(-ln(2*ϕc)/n))

cumulative probability limit factor product distribution function sigma-cum-product(phi-cum-product) deisenroth = σcp(ϕcp;n;σd) = σd^(±√(-ln(2^n*ϕcp)/n)) = σxgeo*sd

Streufaktoranalyse