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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/32926


    Title: 逐次分析在樂透上的應用
    Other Titles: Applying sequential analysis in lottery
    Authors: 沈昀;Shen, Yun
    Contributors: 淡江大學數學學系碩士班
    王國徵;Wang, Kui-jang
    Keywords: 逐次概似比例檢定;Sequential Likelihood Ratio Test
    Date: 2008
    Issue Date: 2010-01-11 02:58:54 (UTC+8)
    Abstract: 在台灣現在中信銀行經營的樂透彩票系統上,我們針對「6/49大樂透」這部份做討論,試圖去探討每顆球的出現的是否符合理論上計算出來的機率,如果沒有,那又是以怎樣的形式在出現。
    依照「6/49大樂透」固定時間每期開獎的形式,我嘗試以逐次概似比例檢定(Sequential Likelihood Ratio Test) 來做分析,分成1.以最近一期為初始值去計算接下來的Lemda值;2.以近49期為初始值去計算接下來的Lemda值;3.以持有所有期數為初始值去計算接下來的Lemda值三個部份。觀察並討論每個部份得到的結果,進而嘗試去做模擬來驗證結果。
    In the lottery system of Taiwan CITIC BANK, our discussion focus on 「6/49 BIG LOT」.We try to test if the probabilities of ball`s appearance are agree with the theoretical counting probability ? If not , what is the form of ball`s appearance ?
    According to the form that lottery run in fix time of 「6/49 BIG LOT」, we try to make analysis by using 「Sequential Likelihood Ratio Test」. We make analysis in three parts:
    1.Using the nearest run to calculate the first lemda value .
    2.Using the nearest 49 runs to calculate the first lemda value .
    3.Using all the runs I collect to calculate the first lemda value .
    Scanning the result of every part and make of discussion of it .
    Finally , making simulation to verify the result .
    Appears in Collections:[應用數學與數據科學學系] 學位論文

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