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研究生: 陳琬珊
Chen, Wan-Shan
論文名稱: 應用Conway-Maxwell-Poisson分配預測非契約型顧客之終身價值
Predicting Customer Lifetime Value for Non-Contractual Relations with Application of Conway-Maxwell-Poisson Distribution
指導教授: 陳麗霞
Chen, Li-Shya
口試委員: 陳麗霞
Chen, Li-Shya
黃子銘
Huang, Tzee-Ming
林千代
Lin, Chien-Tai
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 77
中文關鍵詞: 顧客終身價值非契約型關係過度離散不足離散Conway-Maxwell-Poisson分配
外文關鍵詞: Customer lifetime value (CLV), Non-contractual relations, Overdispersion, Underdispersion, Conway-Maxwell-Poisson (CMP) distribution
DOI URL: http://doi.org/10.6814/NCCU202101152
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  • 隨著商業競爭加劇,企業不再單純依靠產品本身差異以維持競爭力,進而將焦點轉向個人化之服務,然而在顧客數眾多的情況下,如何評估個別顧客為企業帶來的終身價值 (customer lifetime value, 簡稱CLV或LTV) 已儼然成為重要的課題。若企業可明確知道顧客流失時點則稱為契約型關係 (contractual relations),反之則稱為非契約型關係 (non-contractual relations)。本論文探討的是非契約型關係,考慮顧客在企業中存續時間為不可觀測之下,分別建構交易次數與顧客存續時間模型及交易金額模型之後,再依據CLV的計算公式,以預測個別顧客的CLV。不少實證研究顯示,交易次數相較於卜瓦松分配有過度離散 (overdispersion) 或不足離散 (underdispersion) 的現象,本論文乃延續 Mzoughia et al. (2018) 的做法,以Conway-Maxwell-Poisson (CMP) 分配為交易次數之分配,但修正Mzoughia et al. (2018) 的公式,納入顧客間交易次數離散現象之異質性,並進一步推導及計算出兩種CLV估計值,可分別評估顧客未來於一定期間內及至其流失為止的價值。


    As business competition intensifies, companies no longer rely solely on the superior products to maintain their competitive edge. Instead, they turn their focuses to personalized services. When having thousands of customers, how to evaluate individual customer’s customer lifetime value (CLV or LTV) is undoubtedly a significant issue. If a company can observe exactly the time of customer dropout, then it belongs to “contractual relations”. Otherwise, it belongs to “non-contractual relations”. This thesis discusses the non-contractual relationship. Considering that the customer's lifetime in the business is unobservable, models for the number of transactions, the customer’s lifetime and the transaction amount are constructed separately, and then the CLV formula is applied to predict the CLV of each individual customer. Several empirical studies have already shown that the numbers of transactions are sometimes being overdispersion or underdispersion compared to Poisson distribution. This thesis continues the work of Mzoughia et al. (2018) and constructs the model of number of transactions by Conway-Maxwell-Poisson (CMP) distribution, but modifies the formula of Mzoughia et al. (2018), and considers heterogeneous dispersion of the number of transactions among customers. Moreover, we derive and compute two CLV estimates, which can be used to evaluate each individual customer’s future value within a certain period and until customer dropout.

    第一章 緒論 1
    1.1 研究背景與動機 1
    1.2 研究目的 2
    第二章 文獻回顧 4
    2.1 CLV計算公式 4
    2.2 交易次數與顧客存續時間模型 7
    2.2.1 Pareto/NBD模型 7
    2.2.2 BG/NBD模型 9
    2.2.3 BG/GaCMP模型與Pareto/GaCMP模型 11
    2.3 交易金額機率分配模型 17
    2.3.1 常態分配模型 17
    2.3.2 對數常態分配模型 18
    2.3.3 Gamma-Gamma分配模型 19
    第三章 研究方法 20
    3.1 Pareto /GaCMP模型之概似函數與相關公式推導 20
    3.2 模型參數估計方法: MCMC法 25
    3.3 CLV之計算 30
    3.4 預測指標 31
    第四章 模擬驗證 32
    4.1 模擬資料 32
    4.2 模型估計結果 37
    4.3 模型預測結果 40
    第五章 實證分析 49
    5.1 資料介紹 49
    5.2 Pareto/GaCMP模型參數估計結果 56
    5.3 交易次數模型預測結果 59
    5.4 CLV 預測結果 66
    第六章 結論與建議 73
    參考文獻 75

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