林正炎檢視原始碼討論檢視歷史
林正炎,1941年1月出生,杭州人。1986年任教授,1990年被批准為博士生導師,國際數理統計研究院(IMS)Fellow。長期從事概率論與數理統計學科的教學和研究。在概率極限理論、隨機過程軌道理論和統計大樣本理論等領域有系統的研究,在應用統計等方向也有一定的工作。 中文名 林正炎 國 籍 中國 出生日期 1941年1月 職 業 教授、博士生導師 代表作品 《概率論》、《概率極限理論基礎》、《強極限定理》等 籍 貫 浙江杭州 目錄 1 成就 2 主要著作 成就編輯 已在國內外出版專著九部,在國內《中國科學》、《數學學報》、《數學年刊》等重要期刊和美加德俄澳荷匈韓等國著名雜誌發表論文200餘篇。曾獲國家自然科學三等獎(1997),又曾獲教育部科技進步二等獎三項(2003,1993,1988),浙江省政府、科委、教委科技進步獎多項。長期主持國家自然科學基金、教育部博士點基金等項目。已培養博士24名,碩士約一百名,不少學生已是國內外知名學者,有的曾獲國家級百篇優秀博士論文獎。為研究生和本科生編寫過多本教材,為本科生開設過多門(專業)基礎課。被評為首屆浙江省特級專家(2005),首屆國家級高校名師(2003),首屆浙江省功勳教師(1998)。獲浙江省優秀教學成果一等獎(1993),教育部優秀教材一等獎(2002)、二等獎(1990),寶鋼優秀教學特等獎(2000),浙江大學竺可楨獎(2005)等。被評為國家級有突出貢獻中青年專家(1995),獲全國五一勞動獎章(1999),2008年當選為國際性的The Institute of Mathematical Statistics(數理統計研究院)的Fellow。曾兼任中國概率統計學會副理事長,現任浙江大學數學中心副主任,浙江省現場統計學會理事長、浙江省數學會理事長、《高校應用數學學報》主編、《應用概率統計》副主編等職。 [1] 主要著作編輯 [1] 林正炎, 白志東, 概率不等式, 科學出版社, 2006. [2] 林正炎,蘇中根, 概率論, 浙江大學出版社, 2002. [3] 林正炎,陸傳榮, 張立新, 高斯過程的樣本軌道性質, 科學出版社 (現代數學基礎叢書), 2001. [4] 林正炎,陸傳榮, 張立新, Path Properties of Gaussian Processes, 浙江大學出版社, 2001. [5] 林正炎, 陸傳榮, 蘇中根, 概率極限理論基礎, 科學出版社, 1999. [6] 林正炎,陸傳榮, Limit Theory on Mixing Dependent Random Variables, Science Press and Kluwer Academic Publishers, 1997. [7] 陸傳榮,林正炎, 混合相依變量的極限理論, 科學出版社,純粹數學與應用數學專著叢書, 1997. [8] 林正炎,陸傳榮, Strong Limit Theorems, Science Press and Kluwer Academic Publishers, 1992. [9] 林正炎,陸傳榮, 強極限定理, 科學出版社,純粹數學與應用數學專著叢書, 1992. [10] 林正炎,陸傳榮, 概率極限理論引論, 高教出版社, 1989. [11] Lin Z.Y. et al, Some path properties of generalized Levy sheet, Science in China, 49(12), 2006.(SCI) [12] Lin Z.Y. et al, Precise asymptotics for a new kind of complete moment convergence, Statist. Probab. Lett., 76(16), 2006.(SCI) [13] 林正炎等, 廣義Levy單的樣本軌道性質, 中國科學, 36(10), 2006. [14] Lin Z.Y. et al, A note on strong law of large numbers of random variables, J.Zhejiang Univ. Science A, 7(6), 2006.(EI) [15] Lin Z.Y. et al, Precise rates in the law of the logarithm under minimal conditions, 應用概率統計, 22(3), 2006. [16] Lin Z.Y. et al., Results on local times of a class of multiparameter Gaussian processes, Acta Math. Appl. Sinica, English Series, 22(1), 2006. [17] Lin Z.Y.e t al., Precise rates in the law of logarithm for i.i.d. random variables, Inter. J. Compt. Math. Appl., 49, 2005. [18] Lin Z.Y., The law of iterated logarithm for R/S statistics, Acta Math. Sci., 25(2), 2005.(SCI) [19] Lin Z. Y. et al., 一類Markov鏈的強逼近, 數學年刊, 4, 2005. [20] Lin Z.Y.e t al., Some limit theorems on the increments of $l^p$-valued multi-parameter Gaussian processes, Acta Math. Sinica, English Series 20, 20(6), 2004.(SCI) [21] Lin Z.Y. et al., The modulus of non-differentiability of a Brownian motion in $l_p$, Acta Math. Hungar., 105(3), 2004.(SCI) [22] 林正炎等, 完全收斂性中的Paley不等式, 數學年刊, 25A(4), 2004. [23] Lin Z.Y. et al., The functional central limit theorem for strong near-epoch dependent random variables, Prog. Natur. Sci., 14(1), 2004. [24] 林正炎, 最優Logistic總體的選擇, 數學學報, 47(1), 2004. [25] Lin Z.Y. et al., Adaptive designs for sequential experiments, J. Zhejiang Univ. SCI, 4(2), 2003. [26] Lin Z. Y., The strong laws for the rescaled R/S statistics , Stoch. Ana. Appl., Nova Sci. Pub., 3, 2003. [27] 林正炎等, 基於馬氏鏈的自適應設計(II), 生物數學學報, 18(5), 2003. [28] 林正炎等, 基於馬氏鏈的自適應設計(I), 生物數學學報, 18(5), 2003. [29] 林正炎, 強近鄰相依性, 中國科學, 33(6), 2003. [30] Lin Z.Y. et al., Some functional limit theorems for the infinite series of OU processes, Chin. Ann. Math. 24B, 24B(2), 2003. [31] Lin Z.Y. et al., Limit results on the increments of a (N-d)-Gaussian process, Acta Math. Hungar., 99(1-2), 2003. [32] Lin Z.Y. et al., A note on weak laws of large numbers for arrays of rowwise negatively quadrant dependent random variables, Prog. Natur. Sci. 13, 13(6), 2003. [33] Lin Z.Y., Asymptotic normality of kernel estimates of a density function under association dependence, Acta Math. Sci., 23(3), 2003. [34] 林正炎, The large increments of a multifractional Brownian, Stoch. Ana. Appl., Nova Sci. Pub., 2003.(ISTP) [35] 林正炎, 線性模型誤差方差學生氏估計的 Berry-Esseen 不等式, 數學年刊, 23A(2), 2002. [36] Lin Z.Y., Markov chain adaptive designs., Stoch. Ana. Appl., 2002. [37] Lin Z.Y., Path properties of the primitives of a Brownian motion, Stoch. Ana. Appl., 2002. [38] Lin Z.Y., The Berry-Esseen inequality for studentized error variance estimates in linear models, Chin. J. Contemporary Math., 23(2), 2002. [39] Lin Z.Y., Sample path properties of Gaussian processes, Geom. Nonlin. PDE, AMS/IP Stud. Adv. Math., 29, 2002. [40] Lin Z.Y., On a selection procedure for selecting the best logistic population compared with a control, Advances on Theoret. and Metho. Aspects of Probab., 2002. [41] 林正炎等, 隨機過程序列部分和的收斂性的註記, 高校應用數學學報, 17(3), 2002. [42] Lin Z.Y., How big are the increments of a multifractional Brownian motion?, Science in China, 45, 2002. [43] Lin Z.Y., Strong limit theorems for U-statistics generated by a segment of a sample, Chin. J. Contemporary Math., 22(4), 2001. [44] Lin Z.Y., Path properties of the primitives of a Brownian motion, J. Austral. Math. Soc., 70, 2001. [45] 林正炎, 由一類樣本產生的 U-統計量的強極限定理, 數學年刊, 22A(5), 2001. [46] Lin Z.Y. et al., Some limit theorems on the increments of a multi-parameter fractional Brownian motion, Stoch. Ana. Appl., 19(4), 2001. [47] Lin Z.Y. et al., On the large and small increments of Gaussian random fields, J. Korean Math. Soc., 38(3), 2001. [48] Lin Z.Y., The Berry-Esseen bound for studentized U-statistics., Science in China, 43, 2000. [49] 林正炎, Student U-統計量的 Berry-Esseen 界, 中國科學, 30, 2000. [50] Lin Z.Y., Increment theory on Gaussian processes, Stoch. Ana. Appl., 2000. [51] Lin Z.Y., The moduli of continuity and large increments of a class of Gaussian processes, Stoch. Ana. Appl., 2000. [52] Lin Z.Y., Levy's moduli of continuity of primitives of a Brownian motion, 浙江大學學報, 27, 2000. [53] Lin Z.Y. et al., Increments and sample path properties of Gaussian processes, Science Bull., 44(9), 1999. [54] Lin Z.Y. et al., Some limit theorems for fractional Levy Brownian fields, Stoch. Proc. their Appl., 82, 1999. [55] 林正炎等, Gauss過程的增量與軌道性質, 科學通報, 44(3), 1999. [56] Lin Z.Y., The invariance principle for some class of Markov chains, Probab. Theory Appl., 44(1), 1999. [57] Lin Z.Y., On the increments of $l^{\infty}$-valued Gaussian processes, Asymptotic Methods in Probab. and Statist., 1998. [58] 林正炎, 學生化 U-統計量的中心極限定理, 數學學報, 41(5), 1998. [59] Lin Z.Y., Convergence on randomly trimmed sums with a dependent sample, Chin. Ann. Math., 19B, 19B(3), 1998. [60] Lin Z.Y., On central limit theorem for studentized U-statistics, Acta Math. Sinica, New Series, Supp., 1998. [61] Lin Z.Y. et al., A version of Fernique lemma for Gaussian processes, East Asian Math. J., 14(1), 1998. [62] Lin Z.Y., On large increments of $l^$-valued Gaussian processes, Chin. Ann. Math., 18B(2), 1997. [63] Lin Z.Y., How big are the increments of $l^$-valued Gaussian processes, Science in China, 40(4), 1997. [64] Lin Z.Y., An invariance principle for negatively associated random variables, Science Bull., 42(5), 1997. [65] Lin Z.Y., 負相伴隨機變量的不變原理, 科學通報, 42(3), 1997. [66] Lin Z.Y., Convergence on randomly trimmed sums with a $\varphi$-miximg sample, Science Bull., 41(18), 1996. [67] 林正炎, Ornstein-Uhlenbeck 過程產生的 $l^2$-模平方過程的增量, 科學通報, 41(1), 1996. [68] Lin Z.Y., A self-normalized Chung type law of the iterated logarithm, Probab. Theory Appl., 41(4), 1996. [69] Lin Z.Y., An invariance principle for positive dependent random variables, Chinese J. Contemporary Math., 17(3), 1996. [70] Lin Z.Y., On moduli of non-differentiability for a two-parameter O-U process, Acta Math. Sci., 16, 1996. [71] 林正炎, $l^$ 值 Gauss 過程的增量有多大, 中國科學, 26(10), 1996. [72] 林正炎, 正相依隨機變量的不變原理, 數學年刊, 17(4A), 1996. [73] Lin Z.Y., On moduli of continuity for a two-parameter Ornstein-Uhlenbeck process, Acta Math. Hungar., 66(4), 1995. [74] Lin Z.Y., On large increments of infinte series of Ornstein-Uhlenbeck processes, Stoch. Proc. their Appl., 60, 1995. [75] Lin Z.Y.e t a l., On moduli of continuity for local times of Gaussian process, Stoch. Proc. their Appl., 58(1), 1995. [76] Lin Z.Y., On large increments of a two-parameter O-U process, Acta Math. Sinica, New Series 11, 11, 1995. [77] Lin Z.Y.e t.a l, Limit theorems on multi-state Markov Chains, Chin. J. Contemporary Math., 15(4), 1994. [78] 林正炎等, 多狀態馬氏鏈的極限定理, 數學年刊, 15A(5), 1994. [79] Lin Z.Y.e t.a l, Kernel generated two-time parameter Gaussian processes and some of their path properties, Canad. J. Math., 46(1), 1994. [80] Lin Z.Y.e t.a l, Path properties for $l^{\infty}$-valued Gaussian processes, Proc. Amer. Math. Soc., 121(1), 1994. [81] Lin Z.Y.e t.a l, Studentized increments of partial sums, Science in China, 37(3), 1994. [82] Lin Z.Y.e t.a l, Randomization moduli of continuity for $l^2$-norm squared Ornstein-Uhlenbeck processes, Canad. J. Math., 45(2), 1993. [83] Lin Z.Y.e t.a l, A general form of the increments of a two-parameter Wiener process, Appl. Math. J. Chinese Univ., 8B(1), 1993. [84] Lin Z.Y.e t.a l, On the limiting behavior of increments of random variables without moment conditions, Chinese Ann. Math., 14B(3), 1993. [85] 林正炎, 關於一個複合 Poisson 定理, 數學學報, 34(2), 1991. [86] Lin Z.Y.e t al., On infinite series of independent O-U processes, Stoch. Proc. their Appl., 39(1), 1991. [87] Lin Z.Y., Continuity of path of a kind of processes generated by infinite dimensional O-U processes, Chin. J. Contemporary Math., 12(2), 1991. [88] 林正炎, 兩參數帶核過程, 數學學報, 34(1), 1991. [89] Lin Z.Y., On increments of partial sums of $\varphi$-mixing sequence, Probab. Theory Appl., 36(2), 1991. [90] Lin Z.Y.e t.a l, Contribution to the limit theorems, Contemporary Math. Amer. Math. Soc., 118, 1991. [91] Lin Z.Y.e t.a l, Path properties of kernel generated two-time parameter Gaussian proecsses, Probab. Theory Rel. Fields, 89(4), 1991. [92] 林正炎, 一類由無窮 O-U 過程生成的過程的軌道性質, 數學年刊, 12A(2), 1991. [93] 林正炎, 關於部分和增量的下極限, 數學年刊, 11A(4), 1990. [94] 林正炎, 不加矩假設時的隨機變量和的增量, 中國科學, 20(5), 1990. [95] Lin Z.Y., On the increments of sums of random variables without moment hypotheses, Science in China, 33(9), 1990. [96] Lin Z.Y., On the increments of partial sums of dependent sequence when moment generating functions do not exist, Acta Math. Sinica, 6(2), 1990. [97] Lin Z.Y., On inferior lilmit about increments of partial sums, Chin. J. Contemporary Math., 11(3), 1990. [98] Lin Z.Y.e t.a l, On moduli of continuity for Gaussian and $l^2$-norm squared processes generated by Ornstein-Uhlenbeck processes, Canad. J. Math., 42(1), 1990. [99] Lin Z.Y.e t.a l, Path properties of infinite dimensional O-U processes, Coll. Math. Soc. J. Bolyai, Limit Theorems of Prob, 1990. [100] Lin Z.Y., The Erdos-Renyi laws of large number for non-identically distributed random variables, Chinese Ann. Math., 11B(3), 1990. [101] Lin Z.Y., Laws of large numbers for weighted sums of random variables and random elements, Acta Math. Sinica., 5(2), 1989. [102] 林正炎等, 獨立與相依變量和的強逼近, 應用概率統計, 4(1), 1988. [103] Lin Z.Y., On increments of sums of independent non-identically distributed random variables, Scientia Sinica, 31(8), 1988. [104] 林正炎, 關於 C-R 增量的一個注, 高校應用數學學報, 3(4), 1988. [105] Lin Z.Y.e t.a l, A law of the iterated logarithm for infinite dimensional Ornstein-Uhlenbeck processes, C. R. Math. Rep. Acad. Sci. Canada., 10(2), 1988. [106] 林正炎, 獨立不同分布的隨機變量部分和的增量, 中國科學, 18(5), 1988. [107] Lin Z.Y.e t.a l, On moduli of continuity for Gaussian and $\chi^2$ processes generated by Ornstein-Uhlenbeck processes, C. R. Math. Rep. Acad. Sci. Canada., 10, 1988. [108] Lin Z.Y., On Csorgo-Revesz's increments of sums of non-i.i.d. random variables, Scientia Sinica, 30(9), 1987. [109] 林正炎, 獨立不同分布的隨機變量和的 Csorgo-Revesz 增量, 中國科學, 17(5), 1987. [110] 林正炎, 平穩弱相關過程的積分的收斂, 數學研究與評論, 7(4), 1987. [111] Lin Z.Y.e t.a l, Answers to some questions about increments of a Wiener process, Ann. Probab., 14(4), 1986. [112] 林正炎, 隨機指標和序列的完全收斂性, 數學年刊, 7A(3), 1986. [113] 林正炎, 關於隨機變量序列部分和的增量的一個問題, 應用概率統計, 2(2), 1986. [114] 林正炎, 關於部分和增量的一個結果, 高校應用數學學報, 1(1), 1986. [115] 林正炎, 隨機中止的線性模型中參數估計的一些性質, 數學研究與評論, 6(2), 1986. [116] 林正炎, 隨機足標隨機元序列的弱收斂, 數學進展, 14(4), 1985. [117] Lin Z.Y., On increments of 2-parameter Wiener process, Scientia Sinica, 28(6), 1985. [118] 林正炎, On a conjecture of an invaiance principle for sequences of associated random variables, Acta Math. Sinica, New Series, 1(4), 1985. [119] Lin Z.Y., Asymptotic normality of kernel regression function estimations, Science Bull., 30(11), 1985. [120] 林正炎, 樣本均值函數的不變原理, 數學研究與評論, 5(4), 1985. [121] 林正炎, U-統計量和 von-Mises 統計量的 Esseen 不等式, 數學學報, 27(2), 1984. [122] 林正炎, 兩參數 Wiener 過程的增量有多大, 中國科學, 14(12), 1984. [123] 林正炎, 相依樣本時線性模型中誤差估計的不變原理, 科學通報, 29(10), 1984. [124] Lin Z.Y., Invariance principle for error variance estimation in linear models with dependence sample, Science Bull., 29(7), 1984. [125] 林正炎, U-統計量漸近展式的一個注, 數學學報, 27(5), 1984. [126] Lin Z.Y.e t.a l, Functional strong invariance principle, Scientia Sinica, 27(5), 1984. [127] 林正炎, 密度估計的不變原理, 數學年刊, 5A(5), 1984. [128] 林正炎等, 隨機足標 U-統計量的正態逼近的階, 數學研究與評論, 4(1), 1984. [129] 林正炎, 某些統計量用 Wiener 過程強逼近, 杭州大學學報, 11(3), 1984. [130] 林正炎, U-統計量 Berry-Esseen 不等式的推廣, 應用數學學報, 6(4), 1983. [131] 林正炎等, 浙江岱巨洋夏汛水溫類型劃分及預報方法的研究, 海洋通報, 2(2), 1983. [132] 林正炎等, 泛函型強不變原理, 中國科學, 13(11), 1983. [133] 林正炎, 相依樣本情形的密度的核估計, 科學通報, 28(12), 1983. [134] 林正炎等, 函數空間中功率和極限定理, 應用數學學報, 6(4), 1983. [135] 林正炎, 方差可能無界的弱相依序列的弱收斂性, 數學年刊, 3(1), 1982. [136] 林正炎, 弱不變原理的某些結果, 科學探索, 2, 1982. [137] 林正炎, 兩元函數加權和的不變原理, 科學探索, 1, 1982. [138] 林正炎, 一類弱相依隨機變量序列的極限定理, 數學年刊, 2(2), 1981. [139] 林正炎, 一類泛函極限定理, 杭州大學學報, 8(3), 1981. [140] 林正炎等, 平穩過程隨機和的中心極限定理, 數學學報, 23(4), 1980. [141] 林正炎等, 一類鞅的隨機中心極限定理, 杭州大學學報, 7(2), 1980. [142] 林正炎等, 馬氏過程可加泛函的中心極限定理, 杭州大學學報, 6(3), 1979. [143] 林正炎, 相關係數的穩定性, 數學的認識與實踐, 3, 1979. [144] 林正炎, 關於鞅的隨機中心極限定理, 杭州大學學報, 5(4), 1978. [145] 林正炎, 一類可加隨機函數的隨機中心極限定理, 杭州大學學報, 5(3), 1978. [146] 林正炎, 平穩過程的一類隨機中心極限定理, 杭州大學學報, 5(2), 1978. [147] 林正炎等, 聚類分析在天氣預報中的應用(II), 杭州大學學報, 4(4), 1977. [148] 林正炎等, 聚類分析在天氣預報中的應用(I), 杭州大學學報, 4(2), 1977. [149] 林正炎, 馬氏鏈在降水預報中的應用, 杭州大學學報, 4(2), 1977. [150] 林正炎, 一類相依隨機變量的精確極限定理, 杭州大學學報, 2(4), 1965.