| 研究生: |
趙志錦 |
|---|---|
| 論文名稱: |
高爾頓華特生過程及其在人口預估上的應用 無 |
| 指導教授: | 盧敦義 |
| 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: | 1978 |
| 畢業學年度: | 67 |
| 語文別: | 中文 |
| 論文頁數: | 80 |
| 中文關鍵詞: | 無 |
| 相關次數: | 點閱:96 下載:0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
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第一章:導論1
第二章:高爾頓華特生過程4
第一節:簡單型高爾頓華特生過程4
2.1.1意義與基本假設4
2.1.2機率母函數5
2.1.3 Xn的期望數與變異數
第二節:雙類型高爾頓華特生過程9
2.2.1意義9
2..2.2機率母函數10
2.2.3.Z¦∼ n期望數與互變異數矩陣13
第三節:多類型高爾頓華特生過程17
2.3.1意義17
2.3.2機率母函數17
2.3.3. Z¦∼ n的期望數與互變異數矩陣20
第三章:單性主宰的成長模型24
第一節:定常生育率、死亡率、生存率的模型24
3.1.1基本假設24
3.1.2期望人口數25
3.1.3期望人口數的互變異數矩陣27
3.1.4.期望生育值30
第二節:變量生育率、死亡率、生存率的模型32
3.2.1.基本假設32
3.2.2符號說明33
3.2.3期望人口數35
3.2.4.期望人口數的互變異數矩陣38
3.2.5.穩定情況的人口成長40
3.2.6穩定情況下的女性生育值46
第四章:兩性主宰的成長模型48
第一節:定常生育率、死亡率、生存率的模型49
第二節:變量生育率、死亡率、生存率的模型51
第五章:今後十年台灣地區人口結構59
第六章:結論72
參考書目74
1.鄭堯柈編著,數理統計學,下冊,台北:自印,民國六十六年一月初版。
2. Bailery, N. T. J. (1964): “The elements of stochastic process with application to the natural sciences.”. New York: Wiley.
3. Feller, W.:(民國六+二年): ”An introduction to probability theory and its applications”, Vol. 1.台北,美亞。
4. Gantmacher, F. R. (1959): “The theory of matrics “ Vol 2. New York: Chelsea Publishing Co.
5. Goodman, L.A. (1953): “Population growth of the sexes”. Biometrics 9, p 212-225.
6. Goodman, L.A. (1967): “On the age-sex composition of the population that would result from given fertility and mortality condition” Demography 4, p.423-441.
7. Goodman, L.A. (1967): “On the reconciliation of mathematical theories of population growth” J. R. S. S., A130, p. 541-554.
8. Goodman, L.A. (1968): “An elementary approach to the population projection- - matrix, to the population reproductive value, and to related topics in the mathematical theory of population growth” Demography 5, p. 382- 409.
9. Goodman, L. A. (1969): “Stochastic models for the population growth of sexes” Biometrika, 55, p. 469-489.
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11. Hoel, Port, Stone(民國六十四年)“Introduction to stochastic processes”.台北:美亞。
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13. Kendall, D.G. (1949): “Stochastic processes and population growth”. J. R. Statist. Soc., B. 11, p. 230-264.
14. Kendall, D. G. (1966): “ Branching processes since 1873”. J. Lond. Math. Soc 41. p.385-406.
15. Keyfitz, N. (1964): “The intrinsic rate of natural increase and the dominant latent root of the projection matrix.” Popul. Stud. 18, p. 293-308.
16. Keyfitz, N. (1964): ”The population projection as a matrix operator”. Demography 1, p. 56-73.
17. Keyfitz, N. (1965): “On the interaction of populations” Demography 2, p. 276-288.
18. Keyfitz, N. & Murphy, E. M. (1967): ”Matrix and multiple decrement in population analysis” Biometrics 23, p. 485-504.
19. Keyfitz,, N. (1968): “Introduction to the mathematics of population” Reading, Mass: Addison-Wesley.
20. Leslie, P.H. (1945): “On the use of matrics in population mathematics” Biometrika 33, p. 183-212.
21. Leslie, P.H. (1948): “Some further notes on the use of matrics in population mathematics” Biometrika 35, p. 213-245.
22. Murphy, E. M. (1966): “The latent roots of the population projection matrix” Demography 3, p. 259-275.
23. Parzen, E.(民國六十四年): “Stochastic processes” 台北:協進。
24. Pollard, J.H. (1966): ”On the use of the direct matrix product in analysing certain stochastic population models Biometrika 53, p. 397-415.
25. Pollard, J.H. (1948): “The measurement of reproductivity J. Inst. Act. 74, p. 288-318.
26. Pollard, J.H. (1975): “Models for human populations” London: Cambridge university Press.
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