assume the drunk guy follows brownian motion, then to find E[\tau], we just need to solve a differential equation, since it is just one-dimension, the equation is just ODE:
-1/2 u_xx=0
u(0)=u(100)=0
E[\tau]=E[1]=99
a continuous versio of Quant麵試題:喝醉了(2.5星)
所有跟帖:
• a mistake:-1/2 u_xx=0 should be -1/2 u_xx=1 -雪山飛魚- ♂ (0 bytes) () 08/08/2009 postreply 09:26:34
• 用計算機模擬了一下 -haobanfa- ♂ (0 bytes) () 08/15/2009 postreply 16:23:49
• 1,000,000次 iteration 的結果是 98.6 步,你的答案因該是對的,隻不過 -haobanfa- ♂ (59 bytes) () 08/15/2009 postreply 16:27:31
• 回複:1,000,000次 iteration 的結果是 98.6 步,你的答案因該是對的,隻不過 -雪山飛魚- ♂ (478 bytes) () 08/18/2009 postreply 10:00:58
• 回複:a continuous versio of Quant麵試題:喝醉了(2.5星) -tianxing- ♂ (4 bytes) () 10/24/2009 postreply 23:48:32