university of copenhagen Fast and accurate calculations for cumulative first-passage time distributions in Wiener diffusion models Blurton, Steven Paul; Kesselmeier, M.; Gondan, Matthias Published in: Journal of Mathematical Psychology DOI: 10.1016/j.jmp.2012.09.002 Publication date: 2012 Document Version Publisher's PDF, also known as Version of record Citation for published version (APA): Blurton, S. P., Kesselmeier, M., & Gondan, M. (2012). Fast and accurate calculations for cumulative firstpassage time distributions in Wiener diffusion models. Journal of Mathematical Psychology, 56(6), 470-475. DOI: 10.1016/j.jmp.2012.09.002 Download date: 18. Jun. 2017 • ! " $ # % ! ! & ' $# ' ( )* + $ • &" , $ $ • &" • ' • -" $ , $ $ & , $ • -" • - " • -" &$ & , & $ $ , , . / $ ( 0 &" &" / $ $0 • $1 -" - , , $ , -" 2 2, $ 3 2 $ 2+ 4 25 2 $3 ,+ -" 6 $ 78 ! " : ! 9 ! & $ + 2 2 ! 9 2 $ ) ; ,3$3 < =2 4 0 9 ! , < =9 < =4 9 $3>? ++ 4 < =4 < =4 < = , 4 < =4 0 @ 71 &" : 0 2 0 A 2 0 0 A 2 0 4 9 4 ! , 49 9 4 4 9 ! 0 A 0 A 9 94 9 9 B 9 4 4 B 9 9 B 9 94 @ 71 &" : 0 2 ; 0 $ C ! / $ 7% 4 , 0 4 4 90 ! 4 , 9 7 &" , ! , 9 9 9 9 * 2 , B 4 4 4 9 4 9 , ! *5 2 $353 9 0 9 B 9 B 9 4 4 *? 2 4 , 0 4 4 90 ! ! * *5 *? 9 9 9 4 $5 4 0 9 9 9 ! 9 94 B 9 9 @ 7' ' 2 : 2 ! , 9 9 9 22 # , , 4 , ; 0 $ , ! 9 9 9 C , $ 7 % 7 @ 7A -" : 2 & -2 ( ' @ & - 2 - , ( 4 9 B (9(9 9 4 4 B 9 4 4 9- 9 ! , 9 9 , 4 9 9 9 , 4 9(9(9 9 4 4 9 9 9(9 7* -" : 2 & ; 0 $ - " C $ 7% & * 2* 2 0 2 0 ( & : * 2* B ! " 9 9 9( , 9 9 9(B 9 B 9 4 0 , ! " , 9 9 9( , 9 9 9 9 9 9(B 9 , 9 4 0 * 2* B ! " , 9 9 9( 9 9 9(, 9 , 9 4 0 , ! " 9 9 9( , 9 9 9 , 9 9 9(, 9 B 9 4 0 @ ' B 9 , 9 9 B 9 40 , ! " , 9 9 9 9 9 , 9 4 0 B* B* @ 7D - " : 2 & -2 ( & -2-, , 9( , B 9 40 B 9@ 7A -" : 2 2 4 0 2 4 0 &" 2 &" &" 2 &" -2 2 &" ; 9&" -< = 2 - " E -<E = 2 - " @ 7F -" : 2 -" @ , , <= <E = ! &" < = ! &" <E = , 9( , 9 40 G8 ! 9 ! 2 ! " 2 ! $9 , 40 2 ) ; ,3$3H 2 $4 0 G1 & + 4 H $9 ! , $9 0 & 2 &" 0 A 2 0 $4 9 4 H 0 A 2 0 ! , $4 9 9 4 4 $9 &2 ! 0 A 0 A H G1 $ $4 $9 $3>? ++ $4 $4 9 9 4 $9 9 B 9 4 4 $4 , $4 B 9 9 B 9 94 4 0 H H 0 & 2 &" ; 0 &2 / G ! G & 2 &" 4 B 0 , % 4 4 9 ! , 9 9 9 9 * 2% B , B 4 4 4 9 *5 2 $353 9 0 9 B 9 B 9 4 4 H *? 2 4 B 0 4 4 $9 9 ! ! 9 94 B 9 9 H &2 ! ! * *5 *? H 9 ! 4 , 9 H H 4 9 , ! 9 9 9 4 $5 $4 0 H 9 9 $9 $$$ G' '2' 2 ! , 9 9 9 , H 22 # '2 H , ; 0 '2 , HG '2 , 4 ! % 9 9 9 , HG GA - 2-" & - 2% H (2& , - 2 - , ( $4 9 B 9 9(9(4 4 - 2' B 9 4 4 9-H 9 ! , 9 9 , 4 9 9 9 , 4 9 9 9(9(4 4 9 9 9(9 H G* - 2- " & ; 0 - 2- " &H * 2% H * 2% H 0 2 0 H (2& , * 2* B ! " ! " * 2* B ! " ! " - 2' B ! " 9 9 9( , 9 9 9(B 9 , 9 9 9( , 9 9 9 9 , 9 9 9( 9 9 9(, 9 9 9 9( , 9 9 9 , 9 9 4 9 , 9 9 9 B 9 $4 0 , $$$ 9 9(B 9 , 9 $4 0 H , 9 $4 0 , $$$ 9 9(, 9 B 9 $4 0 H 9 9 B 9 $4 0 4 0 9 , 9 $4 0 B * B * H 9 G* , $$$ % - 2- " - 2% (2& , - 2- , & H 9( B , 9 $4 0 9 B 9( B 9 $4 0 9 H GA - 2 -" 2 4 0 H 2 4 0 H &" 2 &" &" 2 &" - 2% H 2 &" ; 9&" H H- 2-" I H- I 2- " H H I ! &" H ! &" I H GF - 2 -" - 2 -" & $ ' , , J$ ' ( H *$ ) * ! $ + $K 1 ! 1 $ L 3LM L $ 8 $ 8 N $ K $ *
© Copyright 2026 Paperzz