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

standard probability factor

standard probability factor sigma deisenroth σd

σd = e^(2∗ln(µari/µgeo))^0¸5 = true standard probability factor sigma deisenroth (wahrer Standardwahrscheinlichkeitsfaktor)

sd = e^(2∗ln(xari/xgeo))^0¸5 = estimated standard probability factor sigma deisenroth (geschätzter Standard Wahrscheinlichkeitsfaktor)

probability limit factor sigma deisenroth σd(ϕd;n)

σd(ϕd;n) = σd^(±ζd(ϕd)/n^0,5)

limit factor distribution deisenroth

ϕd(xgeo;n) = e^(-n*((ln(xgeo/µgeo))/(ln(σd))²)

scattering factors (Streufaktoren)

σd = e^(2∗ln(µari/µgeo))^0¸5 = true standard probability limit factor sigma deisenroth (wahrer Standardstreufaktor)

sd = e^(2∗ln(xari/xgeo))^0¸5 = estimated standard probability limit factor sigma deisenroth (geschätzter Standardstreufaktor)

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)

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 scattering factor sigma Deisenroth

σd (sd) = Standardstreufaktor sigma Deisenroth

σd =TRUE SCATTERING FACTOR SIGMA DEISENROTH (WAHRER STANDARDSTREUFAKTOR DEISENROTH)

sd =ESTIMATED SCATTERING FACTOR SIGMA DEISENROTH (GSCHÄTZTER STANDARDSTREUFAKTOR DEISENROTH)

scattering factor analysis (Streufaktoranalyse)

Study scattering factor noise Deisenroth (Untersuchung Streufaktor Lärm Deisenroth)

Study scattering factor noise Deisenroth (Untersuchung der Streufaktoren von DIN 45645, DIN EN ISO 9612 und TRLV-Lärm)

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

confidence limit exponent zeta deisenroth

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

Impressum

Frank Deisenroth

Seligenstädter Weg 4

63796 Kahl am Main

Tel.: 0179 / 110 3096

deisenroth@gmail.com

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