Mathematician

Krzysztof Kubacki

** ***** ****** **., **** Suffield, CT 06093 phone: 203-***-****

e-mail: ac8ndv@r.postjobfree.com cell phone: 860-***-**** PROFESSIONAL EXPERIENCE

TEACHING

Audience: Traditional and non-traditional undergraduate students; day, evening, and weekend classes; hybrid courses with 25% on-line component (Poland); graduate students at the Johns Hopkins University, undergraduate students at the University of Connecticut, Lincoln College of New England, Asnuntuck Community College, Holyoke Community College, Central Connecticut State University, University of Hartford, Springfield College Courses: Beginner/Intermediate/College Algebra, Trigonometry, Precalculus, Calculus, Geometry, Linear Algebra, Differential Equations, Introduction to Probability and Statistics; Business Mathematics, Financial Mathematics, Statistics with Excel; Introduction to Computer Concepts, Microcomputer Applications, Excel in Data Analysis, Experimental Design (Poland); Special Topic in Probability: Random Limit Theorems (JHU); Elementary Discrete Mathematics, Precalculus, Calculus 1 and 2, Elementary Differential Equations, Introduction to Probability (UConn); Elementary/College Algebra, Applied Statistics, Elementary Statistics (LCNE); Basic Mathematics, Introductory/ Intermediate/College Algebra (HCC); Precalculus (ACC), Statistics for Behavioral Sciences 1, Business Statistics, Elementary Statistics, Introduction to Real Analysis, Pre-Calculus Mathematics, Number Theory, Linear Algebra & Applied Probability for Engineers, Trigonometry (CCSU), Engineering Probability & Statistics (UH), College Algebra, Introduction to Algebra, Probability and Statistics (Springfield College) RESEARCH (https://scholar.google.com/citations?user=1rkQMhIAAAAJ&hl=en) Maria Curie-Skłodowska University, Institute of Mathematics, Lublin, Poland 1977–1988 Research on probability and stochastic modeling (a list of all publications is provided) Agricultural University, Institute of the Applied Mathematics, Lublin, Poland 1977–2005 Research on probability and mathematical statistics; Research on utilizing graphing calculator and computer technology to enhance mathematics and statistics instruction (Maple, Derive, Excel, R, Minitab, Mathematica); Research on Agricultural Engineering

1. [In] Problemy Inżynierii Rolniczej w aspekcie rolnictwa zrównoważonego. WIP AR Lublin, Committee of Agricultural Technology (Polish Academy of Sciences, Branch in Lublin) and Polish Agricultural Technology Society, 2005:

(1a) Some remarks on simulation of random variables. pp. 314-316; (1b) Remarks on mixtures of normal distributions. pp. 317-319; (1c) Reliability characteristics of selected tractor engines. pp. 84-86 2. Should we always use the mean value? Teka – Commission of Motorization and Power Industry in Agriculture (Polish Academy of Sciences, Branch in Lublin). Vol. 6, 2006, 55-66 Polish Academy of Sciences, Institute of Agrophysics, Department of Physical and Technological Properties of Agricultural Materials, Lublin, Poland (consultant in statistical data analysis) 2005–2007 Research on mechanical properties of the seeds and pods of rape 3. Influence of application of plant growth regulators and desiccants on a yield and quality of winter oilseed rape (with N.Pits, J.Tys), International Agrophysics 22, 2008, 67-70. 4. [In] Problemy Agrofizyczne kształtowania środowiska rolniczego i jakość surowców żywnościowych. Scientific Conference in Lublin 15-15.05.2007. Agrophysics Committee Pol Ac Sc, Institute of Agrophysics in Lublin, Pol Ac Sc Branch in Lublin

(4a) The impact of plant aging regulators on mechanical properties of pods and stems of rape. (In Polish: Wpływ regulatorów dojrzewania na właściwości mechaniczne łuszczyn i łodyg rzepaku.) (4b) Effect of application of desiccants’ and controls ripening on the quality of rape seed (In Polish: Wpływ stosowania desykantów i regulatorów dojrzewania na jakość nasion rzepaku.) (with N.Pits, J.Tys)

EMPLOYMENT

Springfield College, Springfield, MA

Adjunct Faculty: Mathematics, Physics, Computer Science 2018 -- present Central Connecticut State University, New Britain, CT Adjunct Faculty: Mathematics 2012 – present

Holyoke Community College, Holyoke, MA

Adjunct Faculty: Mathematics 2011 – present

University of Hartford, West Hartford, CT

Adjunct Faculty: Mathematics 2017 – present

Lincoln College of New England (formerly Briarwood College), Southington, CT Fall 2012 Kubacki’s resume — page 2

Lincoln College of New England (formerly Clemens College), Suffield, CT 2011 – 2012 Adjunct Faculty: Mathematics and Statistics

University of Connecticut, Storrs, CT

Assistant Professor-in-Residence of Mathematics 2008 – 2010 Self-employment – Consultant in Statistical Data Analysis 2005 – 2007 National Veterinary Research Institute, Puławy, Poland – Research Associate Spring 2006 University of Information Technology and Management, Rzeszów, Poland Adjunct Faculty: Statistics 2005 – 2006

Agricultural University (currently Life Sciences University), Lublin, Poland Instructor 1977 – 1981; Lecturer 1981 – 1986

Professor of Mathematics and Statistics 1986 – 2005 Johns Hopkins University, Baltimore, MD

Visiting Assistant Professor Spring 1990

COMMITTEE WORK (Agricultural University, Lublin, Poland) Committee for Entrance Examinations (1978, 1983, 1986-1988, 1992-1994, 2002-2004) Mathematics Curriculum Committee (1986-1988, 1996-2000) Faculty Development Committee (1990-1995)

Organizing Committee for the National and International Meetings (1997, 1998) Advisory Scientific Board and Search Committee Chairperson (1997-1999) HONORS

Recipient of the Agricultural University President Teaching Excellence Award (1982, 1984, 1986) Recipient of the Polish Academy of Sciences award for an outstanding doctoral dissertation (1986) Recipient of a grant awarded by the Kosciuszko Foundation to conduct research on random sums limit theorems (1989)

Recipient of the Minister of National (Polish) Education Award for achievement in research and in scientific and technological progress (1989)

Recipient of the Agricultural University President’s Award for achievement in year 2002 (2003) RELATED EXPERIENCE

Instructor utilizing Distance Learning Technology (on-line quizzes and grades) in Poland; utilizing HuskyCT and WebAssign at UConn, Blackboard Vista at ACC, Blackboard Learn at CCSU, MyMathLab at HCC, WileyPlus and LaunchPad at CCSU.

Author or co-author of 18 publications in peer-reviewed journals and 20 in conference proceedings. Reviewer for the AMS Mathematical Review. Presented at the international and national mathematical

/statistical meetings; Investigator or co-Investigator on numerous grants focusing on stochastic processes and its applications; editor of the conference proceedings/materials. Proficient in the statistical data analysis (Statistica, Excel, R, Minitab, SPSS, JMP, CrunchIt!); Expert in Microsoft Office and Open Office (Linux: SuSe, Fedora), desktop as well as web publishing (TeX / LaTeX, HTML) - Author of a manual illustrating use of LaTeX for a proper document formatting. PROFESSIONAL AFFILIATIONS

Mathematical Association of Two Year Colleges of Connecticut (MATYCONN) and New England Mathematical Association of Two Year Colleges (NEMATYC) EDUCATION

Ph. D. in Mathematical Sciences, Polish Academy of Sciences, Warsaw, Poland (1986)

(Ph.D. Thesis: On Necessary and Sufficient Conditions for Weak Convergence of Randomly Indexed Sequences of Random Variables, partially published in Theory Probab. Appl., Acta Math. Hungarica, PAMS) Certificate of the post-graduate study at College of Didactics and Pedagogy, Maria Curie-Skłodowska University, Lublin, Poland (1979); M.A. in Mathematics / Mathematics Education, Maria Curie-Skłodowska University, Lublin, Poland (1977) (M.S. Thesis: On a Bernstein’s Inequality and Its Application) Kubacki’s resume — page 3

COURSES TAUGHT IN THE UNITED STATES (73 sections)

Springfield College, Springfield, MA (2 sections)

Spring 19 – Probability and Statistics Fall 18 – Intro to Mathematics, College Algebra Central Connecticut State University, New Britain, CT (12 sections) Fall 18 – Trigonometry (Blackboard Learn)

Fall 17 – Business Statistics Fall 16 – Elementary Statistics (with LaunchPad) Spring 16 – Elementary Statistics (LaunchPad) Fall 15 – Elementary Statistics, Stats for Behavioral Sci. Spring 15 – Business Statistics Spring 14 – Linear Algebra & Probability for Engineers Fall 2013 – Number Theory Spring 13 – Pre-Calculus Mathematics (with WileyPlus) Fall 2012 – Statistics for Behavioral Sciences I, Introduction to Real Analysis Holyoke Community College, Holyoke, MA (31 sections) Fall 18 – Basic Mathematics

Fall 17 – Basic Mathematics (2 sections) Spring 17 – Basic Mathematics, Intermediate Algebra Spring 16 – Basic Mathematics Fall 2016 – Basic Mathematics (2 sections) Fall 2015 – Basic Math, Intro Algebra, College Algebra Summer 15 – Basic Mathematics Spring 15 – Basic Mathematics, Introductory and Intermediate Algebra Fall 2014 – Basic Mathematics, Introductory Algebra, College Algebra Spring 14 – Introductory Algebra (2) Fall 2013 – Basic Mathematics (2), Introductory Algebra Spring 12 – College Algebra (1) Fall 2012 – Introductory Algebra (2), College Algebra All courses taught with MyMathLab Fall 2011 – Basic Mathematics, Introductory Algebra (2) Lincoln College of New England (formerly Briarwood College), Southington, CT (2 sections) Fall 2012 – Elementary Statistics, Applied Statistics University of Hartford, West Hartford, CT (2 sections - Precalculus, Engineering Prob & Stat, Fall 17) Lincoln College of New England (formerly Clemens College), Suffield, CT (8 sections) Summer 12 – Elementary Algebra, Elementary Statistics Spring 2012 – Elementary Algebra Fall 2011 – Elementary Algebra, College Algebra Summer 11 – College Algebra Spring 2011 – College Algebra, Applied Statistics

Asnuntuck Community College, Enfield, CT (1 section - Precalculus, Fall 2017) University of Connecticut, Storrs, CT (15 sections) Summer 2010 – Elementary Discrete Mathematics

Spring 2010 – Elementary Differential Equations (2 sections), Probability Fall 2009 – Introductory Calculus 2 (and all sections Coordinator), Elementary Differential Equations (2) Summer 2009 – Precalculus, Probability

Spring 2009 – Calculus II, Probability

Intersession (Dec. 2008 – Jan. 2009) – Precalculus Fall 2008 – Calculus I (2), Probability

All courses taught with the WebAssign or Blackboard Vista (HuskyCT) Johns Hopkins University, Baltimore, MD (1 section) Spring 1990 – Advanced Topic in Probability: Random Limit Theorems Kubacki’s resume — page 4

PUBLICATIONS

ARTICLES:

A. In refereed journals

1. Bernstein’s inequality for submartingales, Colloquium Metod. Agrobiometr. 10, 1980, 400-429 2. Bernstein’s inequality for a class of asymptotic martingales, Bulletin of the Polish Academy of Sciences: Mathematics 28(1-2), 1980, 77-80

3. On the convergence in distribution of partial sums with random indices of not necessary independent random variables to infinitely divisible laws, Colloquium Metod. Agrobiometr. 12, 1982, 317-331 4. Estimation of the intensity parameters for some classes of Markov processes, Colloquium Metod. Agrobiometr. 12, 1982, 332-363

5. Weak convergence of martingales with random indices to infinitely divisible laws, Acta Mathematica Hungarica 42(1-2), 1983, 143-151

6. On the limit behavior of random–sums of independent random variables, Probability and Mathematical Statistics 5(2), 1985, 235-249

7. Weak convergence of randomly indexed sequences of random variables, Bull. Pol. Ac.: Math. 33(3-4), 1985, 201-210

8. On a random version of the Anscombe condition and its applications, Probability and Mathematical Statistics 7(2), 1986, 125-147

9. Weak convergence of random-sums to infinitely divisible distributions, Studia Scientiarum Mathematicarum Hungarica 22(1-2), 1987, 275-285

10. On a random central limit theorem of Robbins type, Bulletin of the Polish Academy of Sciences: Mathematics 35(3-4), 1987, 223-231

11. On the rate of convergence in a random version of the central limit theorem, Bulletin of the Polish Academy of Sciences: Mathematics 35(9-10), 1987, 607-616

12. On the rate of convergence in a random central limit theorem, Probability and Mathematical Statistics 9(2), 1988, 95-103

13. The convergence of moments in a random limit theorem of H. Robbins type, Теория Вероятностей и ее Применения 33(1), 1988, 83-93 [translated in Theory Probab. Appl. 33(1), 1988, 75-85] 14. On a Katz-Petrov type theorem, Bulletin of the Polish Academy of Sciences: Mathematics, 36(7-8), 1988, 315-326

15. A note on the convergence of moments in a random central limit theorem, Украинский Математ. Журнал 41(9), 1989, 1282-1286 (translated in Ukrainian Math. J. 41(9), 1989, 110*-****-**. On the convergence of moments in a martingale central limit theorem, Теория. Вероятностей и ее Применения 40(2), 1995, 373 -386 (translated in Theory Probab. Appl. 40(2), 1995, 273-284 17. Equivalence of the criteria of assessing results of tests in legalizing crop sprayers, Electronic Journal of Polish Agricultural Universities, Agricultural Engineering 4 (2), 2001 18. Methodical restrictions in obligatory testing of the sprayers, Problemy Inżynierii Rolniczej 4(38) 2002, 17- 25 (In Polish)

19. Influence of application of plant growth regulators and desiccants on a yield and quality of winter oilseed rape, Int. Agrophysics 22, 2008, 67-70

B. In conference proceedings

20. On a random- sums limit problem. [In] Probability and Statistical Decision Theory. Proc. 4thPannonian Symp. on Math. Statist., Bad Tatzmannsdorf, Austria (1983), Vol. A, pp. 231-263, F.Konecny, J.Mogyoródi, W.Wertz (eds.), Boston: Reidel 1985 [Budapest: Akademiai Kiadó 1985] 21. The convergence of moments in the martingale central limit theorem. [In] Limit Theorems in Probability and Statistics. Colloquia Mathematica Societatis János Bolyai, Vol. 57, Proc. 3rd Hungarian Colloquium:, Pécs, Hungary 1989, pp. 327-348, I.Berkes, E.Csáki, P.Révész (eds.), Dordrecht: Reidel 1990 [and Amsterdam: North-Holland 1990]

22. On the convergence of moments in a martingale central limit theorem. [In] New Trends in Probability and Statistics. Proc. Second Ukrainian-Hungarian Conference, Mukachevo, Ukraine 1992, pp. 106-127, M.Arató, M.I. Yadrenko (eds.), Теория Вероятностей и Математическая Статистика, Kiev (Ukraine) 1995 Kubacki’s resume — page 5

23. Should we always use the mean value? (TEKA – Commision of Motorization and Power Industry in Agriculture) Teka Komisji Motoryzacji i Energetyki Rolnictwa (PAN). Vol. 6, 2006, 55-66 Note: Copies of these publications are available upon request ABSTRACTS (papers presented at the meetings held by professional organizations) 1. On the Bernstein’s Inequality for a Class of Asymptotic Martingales. [In] VI International Conference on Mathematical Statistics in Wisła, Abstracts. Institute of Mathematics Polish Academy of Sciences, 1978, p. 46. 2. A Best Possible Bernstein-type Inequality for Submartingales. [In] VIII International Conference on Mathematical Statistics and Probability, Abstracts. Institute of Mathematics Polish Academy of Sciences, 1980, pp. 57-58.

3. Weak Convergence of Martingales with Random Indices to Infinitely Divisible Laws. 4th Pannonian Symposium on Mathematical Statistics, Abstracts of Lectures, 1983. 4. On necessary and sufficient conditions for weak convergence of randomly indexed sequences of random variables — I Ogólnopolska Konferencja z Rachunku Prawdopodobieństwa “Probabilistyka”, Grybów, May 3- 9, 1984, pp. 26-27.

5. A Note on the Convergence of Moments in the Robbins’ Theorem. 10th Prague Conference on Information Theory, Statistical Decision Functions and Random Processes. Prague, July 7- 11, 1986. 6. On the Convergence of Moments in a Random Limit Theorem of H. Robbins Type. [In] 1st World Congress of the Bernoulli Society for Mathematical Statistics and Probability, Abstracts, vol. 2. Steklov Institute of Mathematics, Russian Academy of Sciences, 1986, p. 825. 7. Notes on rates of convergencein a random central limittheorem (Uwagi o szybkości zbieżności w losowym centralnym twierdzeniu granicznym). II Ogólnopolska Konferencja z Rachunku Prawdopodobieństwa,,Probabilistyka’’. Wilga, May 4-9, 1987.

8. A Note on the Convergence of Moments in the Martingale Random Central Limit Theorem. Third Hungarian Colloquium on Limit Theorems in Probability and Statistics, Abstracts. Janos Bolyai Mathematical Society, 1989, p. 33.

9. On the Convergence of Moments in a Martingale Central Limit Theorem. [In] Zjazd Polskiego Towarzystwa Matematycznego, Materiały konferencyjne, 1993, p. 71-72. 10. On moments convergence in a central limit theorem for martingales (O zbieżności momentów w twierdzeniu granicznym dla martyngałów).,,Probabilistyka’’, IV Konferencja, Streszczenia referatów i komunikatów. Politechnika Warszawska, 1994.

11. Limit laws for randomly indexed sequences of random variables, XXIII Krajowa Konferencja ”Statystyka Matematyczna Wisła” 97”. Program, Komitet Matematyki PAN, IZM AR Lublin, p. 30. 12. Limit Theorems for Randomly Indexed Sequences of Random Variables. The XXXth International Biometric Colloquium, Abstracts. The Polish Biometrical Society, 2000, pp. 27-28. 13. Limit Theorems for Randomly Indexed Sequences of Random Variables. [In] Aktualne Problemy Inżynierii Rolniczej w Aspekcie Integracji Polski z Unią Europejską. WTR AR Lublin, Komitet Techniki Rolniczej PAN, Polskie Towarzystwo Inżynierii Rolniczej,Wydawnictwo Akademii Rolniczej w Lublinie, 2000, pp. 89-90. 14. Some remarks on simulation of random variables. [In] Problemy Inżynierii Rolniczej w aspekcie rolnictwa zrównoważonego. WIP AR Lublin, Komitet Techniki Rolniczej PAN, Polskie Towarzystwo Inżynierii Rolniczej, 2005, pp. 314-316

15. Remarks on mixtures of normal distributions. [In] Problemy Inżynierii Rolniczej w aspekcie rolnictwa zrównoważonego. WIP AR Lublin, Komitet Techniki Rolniczej PAN, Polskie Towarzystwo Inżynierii Rolniczej, 2005, pp. 317-319

16. Reliability characteristics of selected tractor engines. [In] Problemy Inżynierii Rolniczej w aspekcie rolnictwa zrównoważonego. WIP AR Lublin, Komitet Techniki Rolniczej PAN, Polskie Towarzystwo Inżynierii Rolniczej, 2005, pp. 84-86

17. Wpływ regulatorów dojrzewania na właściwości mechaniczne łuszczyn i łodyg rzepaku. And Wpływ stosowania desykantów i regulatorów dojrzewania na jakość nasion rzepaku. [In] Problemy Agrofizyczne kształtowania środowiska rolniczego i jakość surowców żywnościowych. Konferencja naukowa, Lublin 15-15.05.2007. Komitet Agrofizyki PAN, Instytut Agrofizyki w Lublinie, Oddział Lubelski PAN, Fundacja Rozwoju Nauk Agrofizycznych.

18. Analiza wybranych częstotliwości promieniowania bliskiej podczerwieni do określenia cech jakościowych nasion rzepaku. [In] Agrofizyka w inżynierii produkcji i ochronie środowiska, Konferencja Naukowa, Krasiczyn 26-28.09.2007. Referaty i doniesienia, p. 112. Instytut Agrofizyki PAN w Lublinie and Polskie Towarzystwo Agrofizyczne.

Kubacki’s resume — page 6

EDITIORAL WORK

19. Conference materials including conference agenda, abstracts of the papers and names of the participants- Conference on Statistics Wisla ’97, December 8-12, 1997 20. Conference materials including abstracts of papers (ISBN 83-227-1443-2), program agenda and list of the participants (ISBN 83-227-1443-4) XX International Seminar on Stability Problems for Stochastic Models, Lublin-Nałęczów, September 5-11, 1999, UMCS, 1999

21. Bibliotheca Fragmenta Agronomica volume 7, 2000 (containing papers presented during 50th scientific session of the Polish Biometric Society dedicated to the work of Prof. Tadeusz Przybysz) OTHER WORK

22. Writing coll01b.sty – a suggestion for proper formatting of the papers published in the Biometric Colloquium

(a journal of the Polish Biometric Society), 1993

23. Introduction to LATEX. Agricultural University, Institute of the Applied Mathematics, Lublin, Poland. A manual written to illustrate the use of LATEX and the coll01b style. 1993 24. Webmaster for XXIII conference on Mathematical Statistics Wisla’97 1997 25. Webmaster for XX International Seminar on Stability Problems for Stochastic Models, Lublin-Nałęczów, September 5 - 11, 1999 1999

MATHEMATICAL REVIEWS (17)

MR1766082 (2001i:60044) Bo, Zhang . Stable convergence of random sequences with random indices. Proceedings of the 19th Seminar on Stability Problems for Stochastic Models, Part II (Vologda, 1998). J. Math. Sci. (New York) 99 (2000), no. 4, 1515 1526. MR1860522 (2002j:60036) Krajka, Andrzej . The limiting behaviour of randomly indexed sequences. J. Theoret. Probab. 14

(2001), no. 3, 797 811. MR1883770 (2002m:60037) Kruglov, V. M. On the necessity of the Lindeberg condition for the normal convergence of martingales. (Russian) Mat. Zametki 70 (2001), no. 1, 51 58; translation in Math. Notes 70 (2001), no. 1-2, 46 52. MR1937446 (2003i:60038) Kuznetsova, A. Ya. ; Kulikova, A. A. A limit theorem on the convergence to the uniform distribution.

(Russian) Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet. 2002, no. 3, 39-45, 56; translation in Moscow Univ. Comput. Math. Cybernet. 2002, no. 3, 35 43 (2003). MR1937012 (2004b:60067) Kazimirov, N. I. On some conditions for the absence of a giant component in a generalized allocation scheme. (Russian) Diskret. Mat. 14 (2002), no. 2, 107 118; translation in Discrete Math. Appl. 12 (2002), no. 3, 291 302. MR1976516 (2004c:60133) Rásonyi, M. A note on martingale measures with bounded densities. Tr. Mat. Inst. Steklova 237 (2002), Stokhast. Finans. Mat., 212 216; translation in Proc. Steklov Inst. Math. 2002, no. 2 (237), 203 207. MR1996755 (2004m:60048) Vaĭchyulis, M. Convergence of sums of Appell polynomials with infinite variance. (Russian) Liet. Mat. Rink. 43 (2003), no. 1, 80 98; translation in Lithuanian Math. J. 43 (2003), no. 1, 67 82. MR2039935 (2005e:60051) Neumeyer, Natalie. A central limit theorem for two-sample $U$-processes. Statist. Probab. Lett. 67 (2004), no. 1, 73 85. MR2092203

(2005h:60065) Gordin, M. I. A remark on the martingale method for proving the central limit theorem for stationary sequences.

(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 311 (2004), Veroyatn. i Stat. 7, 124 132, 299 300; translation in J. Math. Sci. (N. Y.) 133 (2006), no. 3, 1277 1281. MR2053148 (2005h:60126) Boyarintseva, N. S.; Khametov, V. M. A new theorem on the representation of martingales (discrete time). (Russian) Mat. Zametki 75 (2004), no. 1, 40 54; translation in Math. Notes 75 (2004), no. 1-2, 38 50. MR2110445 (2005j:60088) Ouchti, Lahcen . On the rate of convergence in the central limit theorem for martingale difference sequences. Ann. Inst. H. Poincaré Probab. Statist. 41 (2005), no. 1, 35 43. MR2153126 (2006e:60033) Sung, Soo Hak ; Hu, Tien-Chung ; Volodin, Andrei . On the weak laws for arrays of random variables. Statist. Probab. Lett. 72 (2005), no. 4, 291 298. MR2325551 (2008f:60026) Timushev, D. A. On the rate of convergence in probability of the spectral distribution function of a random matrix. (Russian) Teor. Veroyatn. Primen. 51 (2006), no. 3, 618 622; translation in Theory Probab. Appl. 51 (2007), no. 3, 546 549. MR2331987 (2008g:60127) Gnedenko, B. D. On an extension of the concept of a martingale. (Russian) Teor. Veroyatn. Primen. 50 (2005), no. 4, 763 767; translation in Theory Probab. Appl. 50

(2006), no. 4, 659 662. MR2368747 (2008m:60039) Prakasa Rao, B. L. S. ; Sreehari, M. Limit theorem for maximal segmental score for random sequences of random length. Teor. Ĭmovīr. Mat. Stat. No. 76 (2007), 138 141; translation in Theory Probab. Math. Statist. No. 76 (2008), 155 158. MR2364223 (2009b:60070) El Machkouri, M. ; Ouchti, L. Exact convergence rates in the central limit theorem for a class of martingales. Bernoulli 13 (2007), no. 4, 981 999. MR2434208 (2009m:60080) Lee, Jungick ; de Jong, Robert M. Exponential functionals of integrated processes. Econom. Lett. 100 (2008), no. 2, 181 184.

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