Fit data with the Elbert model


handy version (zenith angle dependence is somewhat simplified)

The chi square map

for Npe distribution

for zenith angle distribution

90 % C.L.
red: Npe, blue: Zenith angle

The chi square Vs alpha (with fixed Eth) and the Npe and the zenith angle distributions

for Npe distribution (Eth=1TeV)

for zenith angle distribution (Eth=1TeV)

for Npe distribution (alpha=1.92, Eth=1TeV)
black: obs. data, red: MC data
chi2/ndof = 18.4/19

for zenith angle distribution (alpha=1.92, Eth=1TeV)
chi2/ndof = 21.6/19

for Npe distribution (Eth=2TeV)

for zenith angle distribution (Eth=2TeV)

for Npe distribution (alpha=1.98, Eth=2TeV)
chi2/ndof = 14.5/19

for zenith angle distribution (alpha=1.98, Eth=2TeV)
chi2/ndof = 23.2/19

for Npe distribution (Eth=3TeV)

for zenith angle distribution (Eth=3TeV)

for Npe distribution (alpha=2.01, Eth=3TeV)
chi2/ndof = 16.3/19

for zenith angle distribution (alpha=2.01, Eth=3TeV)
chi2/ndof = 23.8/19

More precise version (using filled weights)

The chi square map

for Npe distribution

for zenith angle distribution

90% C.L.
red: Npe, blue: Zenith angle

The chi square Vs alpha (with fixed Eth) and the Npe and the zenith angle distributions

for Npe distribution (Eth=1TeV)

for zenith angle distribution (Eth=1TeV)

for Npe distribution (alpha=1.94, Eth=1TeV)
chi2/ndof = 15.8/19

for zenith angle distribution (alpha=1.94, Eth=1TeV)
chi2/ndof = 16.0/19

for Npe distribution (Eth=2TeV)

for zenith angle distribution (Eth=2TeV)

for Npe distribution (alpha=1.99, Eth=2TeV)
chi2/ndof = 17.5/19

for zenith angle distribution (alpha=1.99, Eth=2TeV)
chi2/ndof = 14.5/19

for Npe distribution (Eth=3TeV)

for zenith angle distribution (Eth=3TeV)

for Npe distribution (alpha=2.02, Eth=3TeV)
chi2/ndof = 19.4/19

for zenith angle distribution (alpha=2.03, Eth=3TeV)
chi2/ndof = 14.5/19

Best fit

for Npe distribution (alpha=1.97, Eth=1505 GeV)
chi2/ndof = 14.3/19

Best fit

for zenith angle distribution (alpha=1.97, Eth=1505 GeV
chi2/ndof = 15.1/19

chi square map for npe distribution (no fluctuation)

chi square map for zenith angle distribution (no fluctuation)

90% C.L.
red: Npe, blue: Zenith angle

Summary at this point


Keiichi Mase
Last modified: Thu Jul 10 03:11:46 JST 2008