成就
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。曾兼任中國機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、《高校套用數學學報》主編、《套用機率統計》副主編等職。
主要著作
[1]
林正炎, 白志東, 機率不等式, 科學出版社, 2006.
[2]
林正炎，蘇中根, 機率論, 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, 機率極限理論基礎, 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, 混合相依變數的極限理論, 科學出版社，純粹數學與套用數學專著叢書, 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，純粹數學與套用數學專著叢書, 1992.
[10]
林正炎，陸傳榮, 機率極限理論引論, 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, 套用機率統計, 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, 隨機過程式列部分和的收斂性的註記, 高校套用數學學報, 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., 負相伴隨機變數的不變原理, 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, 正相依隨機變數的不變原理, 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數和的增量, 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, 獨立與相依變數和的強逼近, 套用機率統計, 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, 高校套用數學學報, 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數部分和的增量, 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數和的 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, 關於隨機變數序列部分和的增量的一個問題, 套用機率統計, 2(2), 1986.
[114]
林正炎, 關於部分和增量的一個結果, 高校套用數學學報, 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, 樣本均值函式的不變原理, 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, 套用數學學報, 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, 函式空間中功率和極限定理, 套用數學學報, 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, 兩元函式加權和的不變原理, 科學探索, 1, 1982.
[138]
林正炎, 一類弱相依隨機變數序列的極限定理, 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, 一類可加隨機函式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套用(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套用(I), 杭州大學學報, 4(2), 1977.
[149]
林正炎, 馬氏鏈在降水預報中的套用, 杭州大學學報, 4(2), 1977.
[150]
林正炎, 一類相依隨機變數的精確極限定理, 杭州大學學報, 2(4), 1965.
