probability limit factor sigma deisenroth
σd(ϕd;n) = σd^±√(-ln(ϕd)/n) = x(ϕd;n)/µgeo
probability limit factor sigma deisenroth
probability limit factor normal distribution sigma zeta phi deisenroth σd(ϕd;n) = σd^±ζd(ϕd;n) = σd^±√(-ln(ϕd)/n) = x(ϕd;n)/µgeo ; σd=1,01
sigma zeta phi diagram deisenroth
scattering probability limit factor normal distribution sigma zeta phi deisenroth
σd(ϕd;n) = σd^±ζd(ϕd;n) = x(ϕd;n)/µgeo
ϕd(x;n) = e^(-n*((ln(x/µgeo))/(ln(σd))²)
ϕd(σd;n) = e^(-n*((ln(x(ϕd;n)/µgeo))/(ln(σd))²)
x(ϕd;n) = µgeo∗σd^±√(-ln(ϕd)/n)
ζd(ϕd) = ±√(-ln(ϕd)/n)
limit factor sigma deisenroth
σd(ϕd;n) = σd^±ζd(ϕd;n) = x(ϕd;n)/µgeo
limit factor phi deisenroth
ϕd(σd;n) = e^(-n*((ln(x(ϕd;n)/µgeo))/(ln(σd))²)
limit exponent zeta deisenroth
ζd(ϕd) = ±√(-ln(ϕd)/n)
probability phi deisenroth ϕd(ζd)
ϕd(ζd) = e^-ζd² = true probability phi deisenroth
Pd(Zd) = e^-Zd² = estimated probability phi deisenroth
probability limit phi deisenroth ϕdij(ζdij)
ϕdij(ζdij) = e^-ζdij² = true probability limit phi deisenroth
Pdij(Zdij) = e^-Zdij² = estimated probability limit phi deisenroth
probability exponent zeta deisenroth ζd(ϕd)
ζd(ϕd) = ±√(-ln(ϕd)/n) = true probablitiy exponent zeta deisenroth
Zd(Pd) = ±√(-ln(Pd)/n)= estimated probablitiy exponent zeta deisenroth
probability limit exponent zeta deisenroth ζdij(ϕdij)
ζdij(ϕdij) = ±√(-ln(ϕdij))= true probablitiy limit exponent zeta deisenroth
Zdij(Pdij) = ±√(-ln(Pdij))= estimated probablitiy limit exponent zeta deisenroth
Probability limit factor sigma deisenroth σdij
σdij = σdi^(ζdij/ni^0,5) = true probability limit factor sigma deisenroth ij
sdij = sdi^(Zdij^(2^0,5)/(ni-2)^0,5) = estimated probability limit factor sigma deisenroth ij
Probability limit factor sigma deisenroth σdi(ζdi;ni)
σdi(ζdi;ni) = σdi^(ζdi/ni^0,5) = true probability limit factor sigma deisenroth i
sdi(Zdi,ni) = sdi^(Zdi^(2^0,5)/((ni-2)^0,5) = estimated probability limit factor sigma deisenroth i
Probability limit factor sigma deisenroth σd(%;n)
σd(%;n) = σd^(ζd(%)/n^0,5) = x(%;n)/µgeo = true xgeo probability limit factor sigma deisenroth
sd(%;n) = sd^(Zd(%)^(2^0,5)/((ni-2)^0,5) = x(%;n)/µgeo = estimated xgeo probability limit factor sigma deisenroth
probability factor distribution
probability factor distribution
scattering factors (Streufaktoren)
σd = e^(2∗ln(µari/µgeo))^0¸5 = true standard probability limit factor sigma deisenroth (wahrer standard Wahrscheinlichkeitsfaktor)
sd = e^(2∗ln(xari/xgeo))^0¸5 = estimated standard probability limit factor sigma deisenroth (geschätzter standard Wahrscheinlichkeitsfaktor)
σari = µari/µgeo = e^(0,5∗(ln σd)^² ) = true µari scattering factor (wahrer Aristreufaktor)
sari = xari/xgeo = e^(0,5∗(ln sd)^²) = estimated xari scattering factor (geschätzter Aristreufaktor)
σp = σd *σari = true scattering factor product (wahres Streufaktorprodukt)
sp = sd * sari = estimated scattering factor product (geschätztes Streufaktorprodukt)
σgeo = µgeo/µgeo = 1 = true µgeo scattering factor (wahrer µgeo Streufaktor)
sgeo = xgeo/xgeo = 1 = estimated xgeo scattering factor (geschätzter xgeo Streufaktor)
σxgeo = xgeo/µgeo = true xgeo scattering factor (wahrer xgeo Streufaktor)
σµgeo(n,%) = µgeo(n,%)/µgeo(50%) = true µgeo scattering factor (wahrer µgeo Streufaktor)
σxgeo(n,%) = xgeo(n,%)/xgeo(50%) = true xgeo scattering factor (wahrer xgeo Streufaktor)
σd(n,%) =xgeo(n,%)/µgeo =σd^(Z(%)/n^0,5)= true xgeo confidence limit factor sigma deisenroth (wahrer Vertrauensgrenzfaktor)
σd(n,%) =µgeo(n,%)/µgeo =σd^(Z(%)/n^0,5)= true µgeo confidence limit factor sigma deisenroth (wahrer Vertrauensgrenzfaktor)
CLd(n,%,σd) = σd^(Z(%)/n^0,5) * xgeo = true xgeo confidence limit deisenroth (wahre xgeo Vertrauensgrenze)
sd(n,%) = sd^(Z(%)^(2^0,5)/(n-2)^0,5) = xgeo(n,%,sd)/xgeo = estimated xgeo confidence limit factor deisenroth (gesch. VGF)
CLd(n,%,sd) = sd^(Z(%)^(2^0,5)/(n-2)^0,5)*xgeo = estimated xgeo confidence limit deisenroth (geschätzte Vertrauensgrenze)
probability factor sigma deisenroth σd(ϕd;n)
standard limit factor sigma deisenroth
confidence limit factor sigma deisenroth
confidence limit exponent zeta deisenroth
probaility limit phi deisenroth
probability limit exponent zeta deisenroth
scattering factor analysis deisenroth
scattering factor limit analysis deisenroth
µari = TRUE ARIMEAN (WAHRES ARIMITTEL)
µgeo = TRUE GEOMEAN (WAHRES GEOMITTEL)
xari = ESTIMATED ARIMEAN (GESCHÄTZES ARIMITTEL)
xgeo = ESTIMATED GEOMEAN (GESCHÄTZTES GEOMITTEL)
xgeo(xi) = e^(1/n*((ln(x1)+ln(x2)+.....+ln(xn)))
xgeo(sd) = xari/e^(0,5*ln(sd)^2)
σd (sd) = standard probability factor sigma Deisenroth
σd (sd) = Standard - Wahrscheinlichkeitsfaktor sigma Deisenroth
scattering factor analysis (Wahrscheinlichkeitsfaktor - Analyse)
Study scattering factor noise Deisenroth (Untersuchung Streufaktor Lärm Deisenroth)
Confidence limit factor sigma deisenroth
σdij = σdi^(ζdij/ni^0,5) = true confidence limit factor sigma deisenroth ij
sdij = sdi^(Zdij^(2^0,5)/(ni-2)^0,5) = estimated confidence limit factor sigma deisenroth ij
σdi(n,%) = σdi^(ζd/ni^0,5) = true confidence limit factor sigma deisenroth i
sdi(n,%) = sdi^(Zd^(2^0,5)/((ni-2)^0,5) = estimated confidence limit factor sigma deisenroth i
ζdij = ln(xgeoj/xgeoi)/(ln(σdi)/√ni + ln(σdj)/√nj) = true confidence limit exponent zeta deisenroth ij
Zdij=(ln(xgeoj/xgeoi)/(ln(sdi)/√(ni -2)+ln(sdj)/√(nj-2))^(1/2^0,5) = estimated confidence limit exponent zeta deisenroth ij
xgeoi = estimated geomean i
σdi = true standard scattering factor simga deisenroth i
sdi = estimated standard scattering factor simga deisenroth i
probability phi deisenroth
ϕd(ζd) = e^-ζd² = true probability phi deisenroth
Pd(Zd) = e^-Zd² = estimated probability phi deisenroth
probability limit phi deisenroth ij
ϕdij(ζdij) = e^-ζdij² = true probability limit phi deisenroth
Pdij(Zdij) = e^-Zdij² = estimated probability limit phi deisenroth
probability exponent zeta deisenroth
ζd(ϕd) = ±√(-ln(ϕd)) = true probablitiy exponent zeta deisenroth
Zd(Pd) = ±√(-ln(Pd))= estimated probablitiy exponent zeta deisenroth
probability limit exponent zeta deisenroth ij
ζdij(ϕdij) = ±√(-ln(ϕdij))= true probablitiy limit exponent zeta deisenroth
Zdij(Pdij) = ±√(-ln(Pdij))= estimated probablitiy limit exponent zeta deisenroth
Frank Deisenroth
Seligenstädter Weg 4
63796 Kahl am Main
Tel.: 0179 / 110 3096
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