Mean values and standard deviations estimated from the posterior distributions of the parameters, obtained using the methods described in the text (WinBUGS, MHPT, and MultiNest), for the powerlaw distribution.
|Method||ℓ = 30°||ℓ = 59°|
|HME||0.73 ± 0.03||−9008||0.56 ± 0.02||−1924|
|Laplace||0.73 ± 0.03||−9454||0.56 ± 0.02||−2051|
|MHPT||0.7 ± 0.1||−4753||0.55 ± 0.01||−4985|
|MultiNest||0.73 ± 0.02||−9018||0.56 ± 0.02||−1932|
Notes. Parameter Minf is undetermined by all methods considered. Therefore, in the case of the Laplace method (requiring the posterior means), the mid-value of the priors range was used. Only results obtained using uniform priors are shown (see Table 1).
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