International Scholarly Research Notices / 2011 / Article / Fig 3

Research Article

Comparison of Two Approaches for Detection and Estimation of Radioactive Sources

Figure 3

Inference of the parameters of the three radiological point sources obtained from samples drawn from the posterior distribution 𝑝 ( 𝜽 ∣ πœ‡ 𝑏 , π‘Ÿ , 𝐳 , 𝐼 ) for 𝜏 = 4 8  s and π‘Ÿ = 3 using the importance sampling algorithm with PC correction. (a, b, c) Histograms for the three parameters, namely, π‘₯ 𝑠 -coordinate of source, 𝑦 𝑠 -coordinate of source, and source intensity rate 𝑄 𝑠 that characterize sources 1, 2, and 3. In each frame, the solid vertical line indicates the true value of the parameter and the dashed vertical line corresponds to the best estimate of the parameter obtained as the posterior mean of the marginal posterior distribution for the parameter.
(a) Source 1
(b) Source 2
(c) Source 3

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