[機統] 一則指數分析的問題!

看板Math作者 (秘密客)時間13年前 (2012/09/16 12:34), 編輯推噓2(205)
留言7則, 2人參與, 最新討論串1/1
Let T1; :::; Tn denote the times that the first buy limit orders for n different stocks arrive at an exchange after opening on a given day. Suppose that all of the stocks trade independently, and that Ti can be modeled as an exponential distribution with parameter i, i = 1; :::; n. Let T denote the time at which the first buy limit order for any of the n stocks reaches the exchange on the specified day. What is the distribution of T? -- -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 204.52.215.1

09/16 18:54, , 1F
Ti~iid~EXP(入) => T=T(1):first order ~ EXP(n入)
09/16 18:54, 1F

09/16 18:55, , 2F
假如我英文沒會錯意的話,是這樣.@@
09/16 18:55, 2F

09/16 19:37, , 3F
是入/n
09/16 19:37, 3F

09/16 19:40, , 4F
如果beta是1/入是1/n入吧?
09/16 19:40, 4F

09/16 23:20, , 5F
忘了說我let E(Ti)=1/入=beta.看是頻率還週期.指數分
09/16 23:20, 5F

09/16 23:22, , 6F
配.If Ti~iid~Exp(a),then nT~Exp(a),T:first order
09/16 23:22, 6F

09/16 23:23, , 7F
a=參數,看你取單位週期或是單位頻率.答案建議寫pdf式
09/16 23:23, 7F
文章代碼(AID): #1GLLR6qK (Math)