在過去文獻中多有討論遷徙行為者，但少有對家戶的居住時間進行分析，本研究首先檢視自有者與租賃者之居住時間，其次為瞭解家戶對實質住宅的經濟需求較大，還是對已建立的社會關係網絡需求較大，提出居住時間的時間相依性問題，即隨著居住時間的增加，家戶會因為對住宅需求改變而愈容易遷徙？還是在累積惰性下愈不易遷徙？最後則是探討家戶居住時間的影響因素，藉由不同的住宅與家戶特徵來瞭解家戶可能的居住時間，以作為住宅遷徙、流動性及其他住宅政策分析之參考。 本研究在實證方法上採取存活分析法，並利用華人家庭動態資料庫的橫斷面跨時資料進行研究。實證結果顯示，自有者的存活函數明顯大於租賃者，且自有家戶之居住時間為租賃家戶的3.11倍。另外，家戶遷徙機率具有正時間相依性，反應出家戶隨著居住時間的增加，遷徙機率會增加，然而自有家戶模型的遷徙機率卻呈現負時間相依性。居住時間影響因素實證結果，每人坪數較大，居住時間會較短，而年齡愈大與居住人數愈多者，居住時間會較長。 / Although there are lots of studies exploring migration, few of them focus on analysis household duration of residence. Duration of residence is an important source of information for a variety of private and pubic decisions and for the understanding of various social and economic phenomena. This study makes a residence duration comparison between owners and tenants. Due to cumulative stress and inertia, moving probability will be increased or decreased. We attempt to describe the duration of residence is positive or negative time dependent. This study also provides the evidence that house and household characteristics determine the duration of residence. This empirical study employs the survival analysis and uses the data from Panel Study of Family Dynamics. The result indicates that the survival function of owners is larger than of tenant. Duration of owner residence is 3.11 times longer than that of tenants. Generally, household moving probability is positive while the owner’s is negative. Research finding further reveals that ping per person is negatively related to residence duration. Age and household size are positively related to residence duration.

土地開發決策行為具備不可回復性及可延遲性等特色，於未來情況不確定市場下，土地開發決策包含了選擇權價值。根據Titman（1985）等人將實質選擇權理論應用於土地開發方面之研究指出，土地開發決策中所內含之實質選擇權，將影響土地所有人的開發決策。而根據實質選擇權理論，未來情況的不確定性乃是實質選擇權價值來源，隨著不確定性提高，將延後土地開發時機並增加未開發土地價值。過去二十餘年來，將實質選擇權應用於土地開發之相關理論研究已獲得豐碩成果，然而於臺灣地區，相關實證研究相當稀少，甚至若干分析結果呈現實質選擇權適用程度不顯著的情況。唯過去分析方式多採靜態之迴歸模型進行，且未將不同市場情況區域分開探討，因而導致估計結果可能的不準確，而曲解實質選擇權理論於臺灣地區之應用。針對上述情況，本研究採動態之存活分析方式針對同樣亦屬動態之土地開發決策行為進行分析；並利用迴歸分析方式觀察未來房價不確定性如何影響未開發土地價值。藉由上述分析，探究實質選擇權理論於臺灣地區土地開發市場之適用程度。 本研究利用臺灣地區大規模開發地區土地開發及未開發土地價格資料進行實證分析。結果顯示，於不確定性程度高且變化程度大之地區，房價不確定性的提高將延後土地開發時機並增加未開發土地價值，符合實質選擇權理論所預測。然於不確定性程度低且變化幅度小之地區，由於選擇權價值的淡化，導致其他因素影響了房價不確定性與土地開發時機及未開發土地價值間之關係，使得分析結果未如實質選擇權理論所預期。此外，本研究於土地開發時機方面採存活分析方式進行，並將不同市場情況之地區分開探討，而得出實質選擇權理論於臺灣地區適用之顯著成果，與過去之相關實證研究指出之不顯著情況不符。表示在進行實證研究時，必須選擇最適當之分析方式，並儘可能就不同市場情況加以探討，方能獲得最符合實際情況之分析結果。 / Recent theoretical research suggests that land development exercises a real option. Option pricing theory has been successfully applied in the valuation of real investments in the last two decades. According to Option pricing theory, the real option in undeveloped land will effect the development decision of land developer. Because the uncertainty of future condition is the source of real option, this research use the data set of land development and undeveloped land price in Taiwan area to test two predictions of real options with respect to land markets: greater price uncertainty should delay the timing of development and raise vacant land prices. Different from other empirical studies, this research uses the survival analysis method to test the prediction of real option theory. The result of our research is consistent with the prediction of the real option theory. It shows that greater price uncertainty lowers the likelihood of development and raises vacant land prices in the area of higher price uncertainty. This finding suggests that in the area of high uncertainty, we would expect land developer in the property market to be more prudent and decreasing the current investment activities compared with the area of a relatively stable market environment.

本研究利用DEA的效率衡量工具，分析球隊可能的解散因素，推論台灣職業棒球之市場機制。根據效率估計的結果約略可將台灣職業棒球二十年的發展分成三個時點，1990年至1997年—第一次簽賭爆發前：效率值呈現遞減的現象；1998年至2002年—兩聯盟共存期：多數的球隊呈現經營績效不佳；2003年至2009年—兩聯盟合併後時期：球隊普遍的經營績效均拉升。 Tobit迴歸分析結果顯示兩聯盟共存對經營績效有負向影響，二軍制度則對球隊的經營績效有正向影響，但令人訝異的是觀眾數對經營績效有負向的影響。存活分析結果推論觀眾數、球隊經營績效為影響球隊存續最重要的兩個因素。資料比對的結果符合上述Tobit迴歸及存活分析之結論，強化在DEA、Tobit、存活分析的推論結果。總而言之，台灣職業棒球市場經營機制尚未健全，本研究將其稱為「半人為市場機制」。台灣職棒必須進行改革，避免非市場因素介入市場運作，台灣棒球產業的未來才有發展性。 關鍵字：職業棒球、DEA效率分析、績效分析、Tobit迴歸分析、存活分析 / In this study, we use DEA efficiency measurement as a tool to analyze the survival of teams in the Taiwanese professional baseball market. According to the efficiency measurement results, one can divide the development of the Taiwanese professional baseball teams in the last twenty years into the following three periods: first, from 1990 to 1997—the outbreak of the first gambling scandal, overall efficiency performance was falling; second, from 1998 to 2002—when two professional leagues coexisted, overall efficiency performance was at the lowest; third, from 2003 to 2009—after two leagues were merged, significant improvement in terms of efficiency performance was observed. Tobit regression results suggest that the coexistence of two professional leagues has negative impact to the efficiency performance of teams while the introduction of the minor league system has positive impact to the efficiency performance. Surprisingly, the number of audience who attended baseball games has negative effect on the efficiency performance. The results from survival analysis identified the number of audience who attended baseball games and efficiency performance are the two main factors for the survival of a baseball team. A detailed data analysis confirms the Tobit regression and survival study results. In general, the market mechanism is yet well-developed. Non-market factors often affect the development of baseball teams and their survival. Drastic reforms and changes are required for the future development of the professional baseball market. Keywords: Professional Baseball, DEA Efficiency Analysis, Performance Analysis, Tobit Regression Analysis, Survival Analysis

本研究欲以存活分析方式了解女性在結束最高學歷後，逐年進入初婚的可能性。台灣女性的初婚狀況在1980年後，逐漸由普遍成婚轉為遲婚、甚至不婚，尤其以高等教育女性的晚婚現象最為嚴重。一般來說，年輕的在學女性由於尚未具備獨立成家的經濟能力，進入初婚的比例相當的低。因此要等到結束最高學歷後才會進入初婚市場、考慮進入初婚。然而女性的初婚可能性會受到年齡帶來的社會規範與壓力影響，年齡越長，潛在的結婚對象也就越少，進入初婚的可能性越低。本研究想了解因為就學延後結束最高學歷年齡，而延遲進入初婚市場年齡的女性，她們的初婚可能性會有什麼變化？初婚可能性的年齡模式又是如何？透過存活分析，本研究結果發現：一、初婚可能性的分布形狀主要受到年齡影響，不同教育程度的分布形狀沒有明顯差異。二、進入初婚的年齡受到結束最高學歷時的年齡影響，結束最高學歷的年齡越晚，越晚進入初婚。三、受高等教育的女性在剛結束最高學歷教育後三年間進入婚姻的可能性，較未受高等教育的女性高。四、不論何種教育程度，初婚可能性將於30歲左右一致地下降，顯示女性進入初婚的可能性仍受到適婚年齡的限制。五、越晚近出生的女性，初婚可能性越低。最晚近出生的女性，初婚可能性不論教育程度呈現普遍皆低的狀態。 / This study foucuses on the women who were born in 1960-1980 in Taiwan and demonstrates the probability of these women's first marriage after finishing their highest educational degrees. In Taiwan, after 1980, women's marital status gradually changes from general married become delayed, or even not married. The marital situations of women who have higher education are in particular serious. Because young women in the school do not have independent economic ability, they do not consider entering first marriage untill they have completed highest educational degrees. However, due to the age norm and social pressure, women's probability of entering into first marriage will decline when they grow older. This study intends to figure out what the probabilitiy of women's first marriage is when they delay the timing of entering into the marriage market due to prolonging the years of education. Through survival analysis, this study found that: First, women's age determines the main shape of the probability distribution of the age at first marriage no matter what educational degrees they have. Second, women's age at first marriage is mainly affected by the age of her finishing highest education. Third, the probability of first marriage of the women who have higher educational degrees is higher than the others in the first five years after finishing education. Fourth, no matter what level of educational degrees, the hazard rate of entering into first marriage will decline rapidly after 30-year-old. Fifth, the more recent birth cohort is the lower the probability of first marriage no mater what educational degrees they have.

Stacy (1962)首先提出廣義伽瑪分配 (generalized gamma distribution)，此分布被廣泛應用於存活分析 (survival analysis) 以及可靠度 (reliability) 中壽命時間的資料描述。事實上，像是指數分配 (exponential distribution)、韋伯分配 (Weibull distribution) 以及伽瑪分配 (gamma distribution) 都是廣義伽瑪分配的一個特例。 Bologna (1987)提出一個特殊的雙變量廣義伽瑪分配 (bivariate generalized gamma distribution) 可以經由雙變量常態分配 (bivariate normal distribution) 所推得。我們根據他的想法，提出多變量廣義伽瑪分配可以經由多變量常態分配所推得。在過去的研究中，學者們做了許多有關雙變量伽瑪分配。當我們提到雙變量常態分配，由於其分配的型式為唯一的，所以沒人任何人對其分配的型式有疑問。然而，雙變量伽瑪分配卻有很多不同的型式。 在這篇論文中的架構如下。在第二章中，我們介紹並討論雙變量廣義伽瑪分配可以經由雙變量常態分配所推得，接著推導參數估計以及介紹模擬的程序。在第三章中，我們介紹一些對稱以及非對稱的雙變量伽瑪分配，接著拓展到雙變量廣義伽瑪分配，有關參數的估計以及模擬結果也將在此章中討論。在第三章最後，我們建構參數的敏感度分析 (sensitivity analysis)。最後，在第四章中，我們陳述結論以及未來研究方向。 / The generalized gamma distribution was introduced by Stacy (1962). This distribution is useful to describe lifetime data when conducting survival analysis and reliability. In fact, it includes the widely used exponential, Weibull, and gamma distributions as special cases. Bologna (1987) showed that a special bivariate genenralized gamma distribution can be derived from a bivariate normal distribution. Follow his idea, we show that a multivariate generalized gamma distribution can be derived from a multivariate normal distribution. In the past, researchers spend much time in working on a bivariate gamma distribution. When a bivariate normal distribution is mentioned, no one feels puzzled about its form, since it has only one form. However, there are various forms of bivariate gamma distributions. In this paper is as following. In Chapter 2, we introduce and discuss the bivariate generalized gamma distribution, then the multivariate generalized gamma distribution is derived. We also develop parameters estimation and simulation procedure. In Chapter 3, we introduce some symmetrical and asymmetrical bivariate gamma distributions, then they are extended to the bivariate generalized gamma distributions. Problems of parameters estimation and simulation results are also discussed in Chapter 3. Besides, sensitivity analyses of parameters estimation are conducted. Finally, we state conclusion and future work in Chapter 4.

本研究延續Shumway (2001) 從存活分析(Survival Analysis)觀點切入，利用離散型風險模型(Discrete-time Hazard Model)──亦即Shumway 所稱之多期邏輯斯迴歸模型(Multi-period Logistic Regression Model)，建立企業財務危機預警模型。研究選取1986 年至2008 年間718 家上市公司，其中110 家發生財務危機事件，共計6,782 公司/年資料 (firm-year)。有別於Shumway 提出的Log 基期風險型式，本文根據事件發生率圖提出Quadratic 基期風險型式，接著利用4組（或基於會計測量，或基於市場測量）時間相依共變量 (Time-dependent Covariate)建立2 組離散型風險模型(Log 與Quadratic)，並與傳統僅考量單期資料的邏輯斯迴歸模型比較。實證結果顯示，離散型風險模型的解釋變數與破產機率皆符合預期關係，而傳統邏輯斯迴歸模型則有時會出現不符合預期關係的情況；研究亦顯示離散型風險模型預測能力絕大多數情況下優於傳統邏輯斯迴歸模型，在所有模型組合中，以Quadratic 基期風險型式搭配財務變數、市場變數的解釋變數組合而成的離散型風險模型，擁有最佳預測能力。 / Based on the viewpoint of survival analysis from Shumway (2001), the presentthesis utilizes discrete-time hazard model, also called multi-period logistic regression model, to forecast corporate financial distress. From 1986 to 2008, this research chooses 718 listed companies within, which includes 110 failures, as the subjects, summing to 6,782 firm-year data. Being different from Shumway’s log baseline hazard form,we proposed to use quadratic baseline hazard form according to empirical evidence. Then, four groups of time-dependent covariates, which are accounting-based measure or market-based measure, are applied to build two sets of discrete-time hazard model, which is compared with the single-period logistic regression model. The results show that there exists the expected relationship between covariates and predict probability in discrete-time hazard model, while there sometimes lacks it in single-period logistic regression model. The results also show that discrete-time hazard model has better predictive capability than single-period logistic regression model. The model, which combines quadratic baseline hazard form with market and accounting variables, has the best predictive capability among all models.

購屋與生育同為家庭生命周期重大事件，在高房價低生育率時代，家庭行為的改變，受到政府機關及社會、經濟學者的關注。過去研究指出，購屋及生育行為的連結建立在對家庭的資源與需求，彼此不僅存在資源競爭關係，亦因家庭生命周期的穩定效果，而提高家庭對另一事件的需求。考量家戶對於擁有房子與孩子的次序偏好相異，其家庭資源分配及需求亦不盡相同，故本研究從家庭資源、需求及家庭偏好探討高房價背景下家戶購屋與生育行為的關係；運用中央研究院調查之華人家庭動態資料庫(PSFD)，針對1934~1984年出生之受訪者資料，建立存活模型進行分析。 探討主題有三：一、探討資源排擠效果與生命周期穩定效果對於購屋及生育行為的影響以及影響程度隨時間變化的情形。二、探討購屋對家戶生育行為的影響途徑。三、探討家戶生育事件對購屋年齡影響之世代差異。實證結果，家庭資源及需求對購屋及生育事件的影響為一動態過程。在高房價時期，先生育家戶婚後購屋機率增加，卻有較年長的男性購屋年齡。而先購屋家戶有較年輕的男性購屋年齡，生育機率卻較低。購屋年齡存在世代差異，先生育家戶的購屋年齡隨世代先提前後增加，先購屋家戶的購屋年齡則呈年輕化趨勢。 本研究成果有助於瞭解家庭購屋及生育行為的關係，作為住宅及衛生福利單位於制定獎勵生育、安親托育或住宅福利政策參考。為讓家庭安心培育下一代，建議政策研擬制定應考量家庭偏好差異性、住宅政策及獎勵生育政策關聯性等，並使房價回歸合理及健全安親托育制度，以有效解決高房價、低生育率的社會問題。

在此篇論文中，我們提出一個慢性Ｂ型肝炎病毒感染病程之數學模型。因為在病症間的轉移機率(Transition probability)是隨著患者的年齡變動，所以在過去的文獻中，已經有學者提出，在疾病轉移機率模型中，應加入國民生命表(Life table)，藉此讓機率模型更符合Ｂ型肝炎病患的生命歷程。但是過去的文獻中，學者並沒有利用加入國民生命表之後疾病模型做進一步的病程分析。在這篇論文當中，我們假設原始的疾病轉移模型是符合馬可夫鏈的性質，並且提出一種加入國民生命表的方法，賦予疾病有年齡相關特性之模型。根據文獻數據和類馬可夫機率性質，我們使用著名的Chapman-Kolmogorov公式計算Ｂ型肝炎的自然病程機率，並畫出病人的生存機率曲線(Survival curve)。文章最後將會藉由兩個例子來介紹此篇論文提出的模型。實驗數據結果證實，此模型不僅提供了一個更精確的方法去分析在病症與死亡間的轉移機率、平均餘命(Life expectancy)、以及在不同年齡的存活機率(Survival probability)，並且可以更進一步的分析且瞭解病情狀態之間的轉移狀況。 / In this thesis, we propose a new mathematical model extending the natural history of hepatitis B virus (HBV) prognosis progression on chronic HBV infection. Since the actual transition probabilities between symptoms are dependent of ages, it has been proposed that the life table should be accommodated to the HBV prognosis progression model so that it can more properly explain the disease progression of the HBV patients. But in the literature, no further disease analysis and applications of it with the life table are discussed. In this thesis, we assume that the original disease progression is described by a Markov model, and propose a new method to combine the HBV progression with the life table so that the proposed model integrates data from the life table and allows the accommodation of age-dependent properties of the target disease. With clinical data based on annual incidence rates, the entire model is Semi-Markov based in nature. Computation methods similar to the celebrated Chapman-Kolmogorov equation can be applied to study the associated probability of each likely trajectory with desired initial ages and health states under the scenarios of natural history and various treatment policies. This method provides a more accurate way to analyze the transitions between symptoms, such as the mean life expectancy or the survival probabilities at different ages. We will give examples to demonstrate the proposed method in this thesis. Numerical results show the proposed model not only provides a more accurate method to analyze the mean life expectancy, the survival probabilities at different ages, and the transition probabilities from symptoms to death but also helps us to understand the transitions between symptoms.

本研究主要在建立1996-2008年間建商的存活預警模型，探討眾多危機事件中對於建商存活的影響力分析。研究所稱建商包括「建設公司」以及有從事建設業的相關公司。在台灣地區位屬火車頭角色的建設業具有舉足輕重的影響力，但其營運的財務槓桿較其他產業高，營運狀況易受景氣波動的影響，因此在事件的產生時對於投資者、銀行的應變處理便顯得相對重要。 危機事件所指除了證管會、台灣經濟新報資料庫的危機認定外，另加入財務之外的事件研究並加以定義。存活預警模型的建立是先以各種事件的相關性分析以了解各種事件的顯著性，並且量化分類後的影響事件，再進行羅吉特分析與存活分析的比對，選擇較適模型與影響力較大的危機事件進行實證分析。研究實證結果如下： 一 危機事件越多，建商經營越不穩定，存亡事件產生機率越高；影響公司存活的共通因子對於公司危機產生的共同預警變數有一定程度上的共通性，且都具有顯著性。 二 本研究將危機事件分類為財務面、監理面、經營面，存亡事件選定有終止上市、全額交割股、掏空三種。經實證後得知，財務面之外的預警變數亦能提供投資人及銀行產業了解公司經營的穩定度。在眾多預警變數中，又以重整、紓困跳票違約、董監事改選對於終止上市影響較大；對全額交割股的影響則以董監事改選、警示股、景氣因素以及利益輸送影響較大；對掏空的影響則以重整、警示股、財務結構較具顯著性。 三 存活期間與存活機率相關性比較中，以景氣預警變數而言，若產生全額交割事件，則產生存亡事件的機率非常高，公司得以存活期間較短。以重整預警變數而言，公司重整後，產生存亡事件的機率非常高，也就是說公司得以存活的期間較其他預警變數短。 四 景氣循環對於建商經營有非常大的影響，不景氣時產生具顯著性的危機事件，將會在較短期間後產生存亡事件。 / The goal of our study is establishing the survival model in the building construction companies during 1996-2008. The real estate developers in this study included “building construction companies” and the “property stock companies” which operate building construction businesses. Building construction companies are common known as a pivotal role in the power of influence by the general public, but the financial leverage is higher than other industries. Operating condition of construction companies is effected by the real estate cycle; in hence it is relative importance of the investers, banks, which the crisis events occurred. The crisis events in this study are not only the definition of Taiwan Stock Exchange and Taiwan Economic Journal Data Bank but also the events besides financial side. The study of survival model, in the beginning, is to analyze the correlation of crisis events to understand the significance of events, quantify the classified of the entire crisis event, and then to compare the results between the Logistic Analysis and the Survival Analysis. Finally, choose the appropriate model and the more influence crisis events to do the empirical analysis. The empirical analysis results of our study are as follows: 1. The more the crisis events occurred, the more the probability of failure events will occur. 2. Our study classified the crisis events into three different species, financial side, supervision side, business side. We choose company delisting, full delivery stock company, and company emptied as the failure events. 3. Compare the correlation of survival period with survival probability. In terms of company reorganized variable, for example, after reorganizing the building construction company, the probability of failure events are getting higher, and the survival duration get shorter than other crisis events. 4. The real estate cycle impact the building construction companies a lot. If significant crisis events occurred during downturn of the real estate cycle, the failure events will be generated in such a short time.

可轉換公司債為複合式證券，除了具有債券性質外，並給予持有者於債券流通期間內行使轉換為股票之權利。以存活分析方法探討可轉債之研究尚屬少見，本論文乃以台灣上市櫃公司發行之5年期可轉債為研究資料，先整理出與公司經營有關的變數，再分別以Cox模式與再發事件之兩種邊際模型(marginal model)：A-G (Anderson-Gill) 模式、PWP-TT (Prentice-Williams-Petersen)模式為研究分析方法，探討可轉債之流通時間及大量交易時間的問題。本論文並將可轉債分類為債券類型、混合類型和權益類型，且由於不同類型可轉債之流通時間有所差異，因此以其為分層條件加入模式中進行分析。研究結果發現，資產總額、總負債率、TCRI評等及董監持股率等變數，具有顯著解釋可轉債流通時間的能力，可見公司財務負債狀況與穩定性與流通期間有關；而最高差價(當月最高股價與轉換價之相對差價)、長期負債率、總負債率及股價報酬率等變數，則可顯著解釋大量交易的發生時間，表示公司財務負債狀況與股價利潤差與大量交易發生之快慢有關，其中資產總額、最高差價、TCRI評等及股價報酬率之係數均顯著為正，長期負債率、總負債率及董監持股率之係數則顯著為負。由於平均表現之存活曲線與經驗存活曲線相當接近，以Kolmogorov-Smirnov檢定多無顯著差異，顯示這些模式有不錯的配適能力；至於對個別公司估計出之存活曲線，則或有與經驗存活曲線相差較多的現象，顯示所建立的模式可對個別公司提供可轉債即將結束流通或發生大量交易之預警。 / Convertible bonds are hybrid securities that possess the properties of bonds and the right to convert bonds into shocks. Few articles employed survival analysis to analyze the characteristics of convertible bonds. To investigate the effects of the issuer’s financial information to the duration of circulation and the timing of the massive trading about convertible bonds, Taiwan’s 5-year convertible bonds were collected, and three methods of survival analysis were employed：Cox model、A-G (Anderson-Gill) model and PWP-TT(Prentice-Williams-Petersen) model. We classified convertible bonds as debt-like, equity-like, and hedge-like, and then make the classification as a stratification condition later. In summary, total Assets, total debt ratio, TCRI, and the proportion of holding share in supervisors and directors are significant variables on circulation period of convertible bonds. Apparently, the extent of debt and financial stability of issuers have significant effects on circulation period; the difference between stock price and conversion price, long-term debt ratio, total debt ratio and stock return rate contribute significantly on the timing of massive trading of convertible bonds. While the extent of debt and the return of stock hasten the hazard of the timing of massive trading. Furthermore, there are no significant differences between the survival curves evaluated at the average performance levels and the corresponding empirical survival curves, according to the results of Kolmogorov-Smirnov test. However, the differences between individual survival probabilities and overall empirical survival probabilities might be large, which indicates that the models incorporate companies’ performance overtime may provide a warning message for the termination of circulation or the timing of massive trading for a particular convertible bond.