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  1. NTU Theses and Dissertations Repository
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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/67480
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor王泓仁(Hung-Jen Wang),陳南光(Nan-Kuang Chen)
dc.contributor.authorPang-Yu Wangen
dc.contributor.author王邦瑜zh_TW
dc.date.accessioned2021-06-17T01:34:03Z-
dc.date.available2020-08-08
dc.date.copyright2017-08-08
dc.date.issued2017
dc.date.submitted2017-08-02
dc.identifier.citation1. Aigner, D., Lovell, C. K., & Schmidt, P. (1977). Formulation and estimation of stochastic frontier production function models. Journal of econometrics, 6(1), 21–37.
2. Battese, G. E., & Coelli, T. J. (1988). Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data. Journal of econometrics, 38(3), 387–399.
3. Battese, G. E., & Coelli, T. J. (1992). Frontier production functions, technical efficiency and panel data: with application to paddy farmers in india. In International appli- cations of productivity and efficiency analysis (pp. 149–165). Springer.
4. Blanco, G. (2017). Who benefits from job placement services? a two-sided analysis. Journal of Productivity Analysis, 47(1), 33–47.
5. Chawla, M. (2002). Estimating the extent of patient ignorance of the health care market. In World bank economists forum (Vol. 2, pp. 3–24).
6. Chen, Y.-Y., Schmidt, P., & Wang, H.-J. (2014). Consistent estimation of the fixed effects stochastic frontier model. Journal of Econometrics, 181(2), 65–76.
7. Colombi, R., Kumbhakar, S. C., Martini, G., & Vittadini, G. (2014). Closed-skew nor- mality in stochastic frontiers with individual effects and long/short-run efficiency. Journal of Productivity Analysis, 42(2), 123–136.
8. Cornwell, C., Schmidt, P., & Sickles, R. C. (1990). Production frontiers with cross- sectional and time-series variation in efficiency levels. Journal of econometrics, 46(1-2), 185–200.
9. Ferona, A., & Tsionas, E. G. (2012). Measurement of excess bidding in auctions. Eco- nomics Letters, 116(3), 377–380.
10. Filippini, M., & Greene, W. (2016). Persistent and transient productive inefficiency: a maximum simulated likelihood approach. Journal of Productivity Analysis, 45(2), 187–196.
11. Gaynor, M., & Polachek, S. W. (1994). Measuring information in the market: An appli- cation to physician services. Southern Economic Journal, 815–831.
12. Gradshteyn, I., & Ryzhik, I. M. (2007). Table of integrals, series, and products (academic, new york, 1965). Google Scholar.
13. Greene, W. (2005a). Fixed and random effects in stochastic frontier models. Journal of productivity analysis, 23(1), 7–32.
14. Greene, W. (2005b). Reconsidering heterogeneity in panel data estimators of the stochas- tic frontier model. Journal of econometrics, 126(2), 269–303.
15. Groot, W., & van den Brink, H. M. (2007). Optimism, pessimism and the compensating income variation of cardiovascular disease: A two-tiered quality of life stochastic frontier model. Social Science & Medicine, 65(7), 1479–1489.
16. Hausman, J. A., & Taylor, W. E. (1981). Panel data and unobservable individual effects. Econometrica: Journal of the Econometric Society, 1377–1398.
17. Jamalizadeh, A., Pourmousa, R., & Balakrishnan, N. (2009). Truncated and limited skew- normal and skew-t distributions: properties and an illustration. Communications in Statistics—Theory and Methods, 38(16-17), 2653–2668.
18. Jondrow, J., Lovell, C. K., Materov, I. S., & Schmidt, P. (1982). On the estimation of technical inefficiency in the stochastic frontier production function model. Journal of econometrics, 19(2-3), 233–238.
19. Kinukawa, S., & Motohashi, K. (2010). Bargaining in technology markets: An empirical study of biotechnology alliances. Discussion papers, 10020.
20. Kumbhakar, S. C. (1990). Production frontiers, panel data, and time-varying technical inefficiency. Journal of econometrics, 46(1-2), 201–211.
21. Kumbhakar, S. C., & Heshmati, A. (1995). Efficiency measurement in swedish dairy farms: an application of rotating panel data, 1976–88. American Journal of Agri- cultural Economics, 77(3), 660–674.
22. Kumbhakar, S. C., Lien, G., & Hardaker, J. B. (2014). Technical efficiency in competing panel data models: a study of norwegian grain farming. Journal of Productivity Analysis, 41(2), 321–337.
23. Kumbhakar, S. C., & Parmeter, C. F. (2009). The effects of match uncertainty and bargain- ing on labor market outcomes: evidence from firm and worker specific estimates. Journal of Productivity Analysis, 31(1), 1–14.
24. Kumbhakar, S. C., & Parmeter, C. F. (2010). Estimation of hedonic price functions with incomplete information. Empirical Economics, 39(1), 1–25.
25. Kumbhakar, S. C., & Wang, H.-J. (2005). Estimation of growth convergence using a stochastic production frontier approach. Economics Letters, 88(3), 300–305.
26. Lee, Y. H., & Schmidt, P. (1993). A production frontier model with flexible temporal vari- ation in technical efficiency. The measurement of productive efficiency: Techniques and applications, 237–255.
27. Meeusen, W., & van Den Broeck, J. (1977). Efficiency estimation from cobb-douglas production functions with composed error. International economic review, 435– 444.
28. Owen, D. (1980). A table of normal integrals: A table. Communications in Statistics- Simulation and Computation, 9(4), 389–419.
29. Owen, D. B. (1956). Tables for computing bivariate normal probabilities. The Annals of Mathematical Statistics, 27(4), 1075–1090.
30. Papadopoulos, A. (2015). The half-normal specification for the two-tier stochastic frontier model. Journal of Productivity Analysis, 43(2), 225–230.
31. Poggi, A. (2010). Job satisfaction, working conditions and aspirations. Journal of Eco- nomic Psychology, 31(6), 936–949.
32. Polachek, S. W., & Yoon, B. J. (1987). A two-tiered earnings frontier estimation of employer and employee information in the labor market. The Review of Economics and Statistics, 296–302.
33. Polachek, S. W., & Yoon, B. J. (1996). Panel estimates of a two-tiered earnings frontier. Journal of applied econometrics, 169–178.
34. Schmidt, P., & Sickles, R. C. (1984). Production frontiers and panel data. Journal of Business & Economic Statistics, 2(4), 367–374.
35. Stevenson, R. E. (1980). Likelihood functions for generalized stochastic frontier estima- tion. Journal of econometrics, 13(1), 57–66.
36. Tomini, S., Groot, W., & Pavlova, M. (2012). Paying informally in the albanian health care sector: a two-tiered stochastic frontier model. The European Journal of Health Economics, 13(6), 777–788.
37. Tsionas, E. G., & Kumbhakar, S. C. (2014). Firm heterogeneity, persistent and transient technical inefficiency: A generalized true random-effects model. Journal of Applied Econometrics, 29(1), 110–132.
38. Wang, H.-J., & Ho, C.-W. (2010). Estimating fixed-effect panel stochastic frontier models by model transformation. Journal of Econometrics, 157(2), 286–296.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/67480-
dc.description.abstract本文在以下兩方面拓展了 Polacheck and Yoon (1996) 的架構,並建構一個六成分追蹤隨機邊界模型 (以下簡稱本模型):一、本模型多包含了具隨機效果 (random effect) 的個人異質性 (individual heterogeneity),二、本模型揭示如何將雙層架構下不隨時間變動的不效率效果 (time-invariant inefficiency effects) 判別 (identify) 出來。Polacheck and Yoon (1996) 雖有包括不隨時間變動的不效率效果,但在估計上卻無法判別出來。
我們採用 Kumbhakar et al. (2014) 的兩階段估計法來估計模型。該法的優點在於易於估計,而且不需要六個隨機變數的卷積 (convoluted) 機率密度函數的封閉解 (closed form)。對於不效率項 (inefficiency terms),我們考慮三種分配假設:截斷常態分佈 (truncated-normal distribution)、半常態分佈 (half-normal distribution),與指數分佈 (exponential distribution)。當分配假設為截斷常態分佈時,本文在文獻中是第一篇推導出關鍵的機率密度函數,並在第二階段的估計中使用;我們也推導了 Jondrow et al. (1982) 的不效率指標 (inefficiency index) 與 Battese and Coelli (1988) 的效率指標 (efficiency index)。
在本模型的架構下,許多其他的隨機邊界模型是本模型的特例。這代表本模型在文獻上可以被看作是較為一般化的情形。
最後,在假設所有的不效率項服從指數分配的形下,我們提供了蒙地卡羅模擬以觀察本模型估計值的誤差與均方差 (mean squared error)。
zh_TW
dc.description.abstractIn this thesis, we propose a six-component panel stochastic frontier (SF) model that extends the two-tier panel SF model of Polacheck and Yoon (1996) in two major ways: (1) It includes individual heterogeneity which is treated as a random effect. (2) It shows how the time-invariant inefficiency effects in both of the tiers can be identified. The model of Polacheck and Yoon (1996) includes the time-invariant inefficiency effects, but they are not identified in the estimation.
We use the two-step estimation approach of Kumbhakar et al. (2014) to estimate the model. The approach is easy to conduct and does not require a closed form of the convoluted density of all the model's six random components. We consider three distributional assumptions on the inefficiency terms: truncated-normal, half-normal, and exponential. For the case of the truncated-normal, we are the first in the literature to derive key density functions which are used in the second step of the estimation; we also derive the (in)efficiency indexes of Jondrow et al. (1982) and Battese and Coelli (1988) for such a model.
Our model nests many of the existing SF models as special cases. This indicates that our model is one of the more general models in the literature.
Finally, we present Monte Carlo simulations to observe biases and mean squared errors of the estimates in our model with two-tier normal-exponential specifications.
en
dc.description.provenanceMade available in DSpace on 2021-06-17T01:34:03Z (GMT). No. of bitstreams: 1
ntu-106-R04323037-1.pdf: 1568311 bytes, checksum: 51b1ff8e06e0830739b8ebf4edcfdf13 (MD5)
Previous issue date: 2017
en
dc.description.tableofcontentsContents
1 Introduction 4
2 Literature Review 8
2.1 One-Tier SF Models 8
2.2 Two-Tier SF Models 9
3 The Model 13
3.1 Step 1: Random-Effect GLS Estimation 14
3.2 Step 2: ML Estimation 14
3.3 Distributional Assumption 1 17
3.3.1 Time-Invariant Components 17
3.3.2 Time-Varying Components 20
3.4 Distributional Assumption 2 24
3.4.1 Time-Invariant Components 24
3.4.2 Time-Varying Components 26
3.5 Distributional Assumption 3 28
3.5.1 Time-Invariant Components 28
3.5.2 Time-Varying Components 29
4 Comparison 31
5 Monte Carlo Simulations 36
5.1 Discussion 1: Increase N only 56
5.2 Discussion 2: Increase T only 66
5.3 Summary 71
6 Conclusion and Future Research 72
References 74
Appendix A Derivations in Distributional Assumption 1 78
A.1 Density of z = −u + w 78
A.2 Density of ε˜ = v − u + w = v + z 82
A.3 Nest the One-Tier SF Models 89
A.4 Conditional Densities 91
A.5 Inefficiency Estimates of Jondrow et al. (1982) 93
A.6 Efficiency Estimates of Battese and Coelli (1988) 95
List of Figures
1 Fix T = 5 58
2 Fix T = 5, More Detailed 59
3 Fix T = 15 60
4 Fix T = 15, More Detailed 61
5 Fix T = 50 62
6 Fix T = 50, More Detailed 63
7 Fix T = 100 64
8 Fix T = 100, More Detailed 65
9 Fix N = 200 67
10 Fix N = 300 68
11 Fix N = 400 69
12 Fix N = 1000 70
List of Tables
1 Distributional Assumptions 16
2 Cross-Sectional Model Comparison (T = 1) 33
3 Panel Model Comparison 34
4 Biases 39
5 MSEs 39
6 Simulation Results with N = 200, T = 5 40
7 Simulation Results with N = 200, T = 15 41
8 Simulation Results with N = 200, T = 50 42
9 Simulation Results with N = 200, T = 100 43
10 Simulation Results with N = 300, T = 5 44
11 Simulation Results with N = 300, T = 15 45
12 Simulation Results with N = 300, T = 50 46
13 Simulation Results with N = 300, T = 100 47
14 Simulation Results with N = 400, T = 5 48
15 Simulation Results with N = 400, T = 15 49
16 Simulation Results with N = 400, T = 50 50
17 Simulation Results with N = 400, T = 100 51
18 Simulation Results with N = 1000, T = 5 52
19 Simulation Results with N = 1000, T = 15 53
20 Simulation Results with N = 1000, T = 50 54
21 Simulation Results with N = 1000, T = 100 55
22 Terms and Estimates 56
dc.language.isoen
dc.subject雙層隨機邊界模型zh_TW
dc.subject截斷常態分佈zh_TW
dc.subject最大概似估計法zh_TW
dc.subject隨機效果zh_TW
dc.subject一般最小平方估計法zh_TW
dc.subject追蹤資料zh_TW
dc.subjectMaximum Likelihood Estimationen
dc.subjectTwo-Tier Stochastic Frontier Modelen
dc.subjectTruncated-Normal Distributionen
dc.subjectRandom Effecten
dc.subjectGeneralized Least Square (GLS) Estimationen
dc.subjectPanel Dataen
dc.title六成分追蹤隨機邊界模型zh_TW
dc.titleSix-Component Panel Stochastic Frontier Modelen
dc.typeThesis
dc.date.schoolyear105-2
dc.description.degree碩士
dc.contributor.oralexamcommittee張勝凱,賴宏彬
dc.subject.keyword雙層隨機邊界模型,截斷常態分佈,最大概似估計法,隨機效果,一般最小平方估計法,追蹤資料,zh_TW
dc.subject.keywordTwo-Tier Stochastic Frontier Model,Truncated-Normal Distribution,Maximum Likelihood Estimation,Random Effect,Generalized Least Square (GLS) Estimation,Panel Data,en
dc.relation.page103
dc.identifier.doi10.6342/NTU201702234
dc.rights.note有償授權
dc.date.accepted2017-08-02
dc.contributor.author-college社會科學院zh_TW
dc.contributor.author-dept經濟學研究所zh_TW
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