Research Article

# Comparison of Two Approaches for Detection and Estimation of Radioactive Sources

## Algorithm 1

Importance sampling with progressive correction algorithm.
 (1) π  = 0 , πΊ 0 = 0 , π π = π β π , π = π β ; (2) for π = 1 , β¦ , π do (3)ββ Draw π½ 0 , π ( π ) βΌ π ( π½ ( π ) β£ π , πΌ ) ; (4)ββ Compute π ( π³ β£ π π , π , π½ 0 , π ( π ) ) ; (5) end for (6) while πΊ π  < πΌ and π  < π do (7)ββ π  β π  + 1 ; (8)ββ Select πΎ π  ; (9)ββ πΊ π  = πΊ π  β 1 + πΎ π  ; (10)ββfor π = 1 , β¦ , π do (11)ββββWeights: π€ π  , π = π ( π³ β£ π π , π , π½ π  β 1 , π ( π ) ) πΎ π  / β π π = 1 π ( π³ β£ π π , π , π½ π  β 1 , π ( π ) ) πΎ π  ; (12)ββend for (13)ββResample { π½ π  β 1 , π ( π ) } π π = 1 with weights { π€ π  , π } π π = 1 to give { π½ π β } π π = 1 with uniform weights (14)ββfor π = 1 , β¦ , π do (15)ββββ π½ π  , π ( π ) = π½ π β + π π  , π , where π βΌ π π  ; (16)ββend for (17) end while

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