Janos Galambos

       PUBLICATIONS


BOOKS PUBLISHED OR IN PRESS

  • Representations of real numbers by infinite series. Springer Verlag, Lecture Notes in Mathematics Series, Vol. 502, 1976.
  • The asymptotic theory of extreme order statistics. Wiley, New York, 1978.
  • Characterizations of probability distributions (J. Galambos and S. Kotz)Springer Verlag, Lecture Notes in Mathematics Series,Vol. 675, 1978.
  • The Russian Edition (translation with minor modifications) of the Wileybook, Nauka, Moscow, 1984.
  • Introductory probability theory. Marcel Decker, New York, 1984.
  • The asymptotic theory of extreme order statistics, 2nd ed., Krieger, Melbourne, Florida, 1987
  • Advanced probability theory. Marcel Dekker, New York, 1988
  • Advanced Probability theory, 2nd edition, Marcel Dekker, New York, 1995
  • Bonferroni - type Inequalities with Applications (J.Galambos and Italo Simonelli), Springer, New York, 1996.
  • Products of random variables - Janos Galambos and Italo Simonelli. Marcel Dekker, New York, 2004

EDITED BOOKS PUBLISHED OR IN PRESS

  • Probability Theory and Applications - (editors; Janos Galambos and Imre Katai) Kluwer, Dordrecht, 1992.
  • Extreme Value Theory and Applications Vol. I-III, (eds.: Janos Galambos, James Lechner and Emil Simiu)
    • Vol. I: Kluwer, Dordrecht, 1994
    • Vol. II: Journal of Special Research, NIST, Gaithersburg, Maryland, 1994
    • Vol. III Special Publications, NIST, Gaithersburg, 1994
  • Studies in Applied Probability, eds.: J. Galambos and J. Gani, Applied Probability Trust, Sheffield, England, 1994

TEXTBOOKS PUBLISHED OR IN PRESS

  • Introductory probability theory. Marcel Dekker, New York, 1984

RESEARCH ARTICLES PUBLISHED OR IN PRESS

  1. Egy szamelmeleti eloszlasproblema ( A distribution problem in the theory of numbers). Matematikai Lapok, 14 (1963), 88-97.
  2. On the distribution of number theoretical functions. Annales Universitetas Scientiarium Budapest., Sectio Math., 7 (1964), 25-31
  3. On the sieve methods in probability theory I. Studia Scientiarum Math. Hungar. 1 (1966), 39-50.
  4. On the distribution of prime-independent number theoretical functions. Archiv der Mathematik, 19 (1968), 296-299
  5. On quadratic inequalities in the theory of probability (J. Galambos and A. Renyi). Studia Scientiarum Math. Hungar., 3 (1968), 351-358.
  6. Quadratic inequalities among probabilities. Annales Universitetas Sci. Budapest., Sectio Math., 12 (1969),11-16
  7. A probabilistic approach to mean values of multiplicative functions. Journal of the London Math. Soc. (2), 2 (1970), 405-419
  8. Distribution of arithmetical functions. A survey, Annales de l'Institut Henri Poincare, Section B, 6 (1970), 281-305.
  9. The ergodic properties of the denominators in the Oppenheim expansion of real numbers into infinite series of rationals. The Quarterly Journal of Math., Oxford Second Series, 21 (1970), 177-191.
  10. On the sieve methods in probability theory II. Ghana Journal of Science, 10 (1970), 11-15
  11. Limit distribution of sums of dependent random variables with applications to arithmetical functions. Zeitschrift fur Wahrschein lickeitstheorie und verwandte Gebiete 18 (1971), 261-270
  12. A generalization of a theorem of Borel concerning the distribution of digits in dyadic expansions. American Mathematical Monthly 18 (1971), 774-779
  13. Some statistical problems leading to sequential methods. Bulletin of the International Statistical Institute, Contributed Papers, 38th Session (Washington, D.C.),(1971), 141-145
  14. Some probabilistic aspects of majorization. Annales Universitetas Sci. Budapest., Sectio Math., 14(1971),11-17
  15. On the speed of convergence of the Oppenheim series.Acta Arithmetica 19 (1971), 681-690
  16. On the distribution of strongly multiplicative functions. Bulletin of the London Mathematical Society 3 (1971),307- 312
  17. Distribution of additive and multiplicative functions. In: The Theory of Arithmetic Functions (eds.: A.A. Gioia and D.L. Goldsmith), Lecture Notes in Mathematics, Springer Verlag, 251 (1971), 127-139.
  18. Characterization of certain populations be independence of order statistics. Journal of Applied Probability, 9 (1972), 224-230.
  19. Some remarks on the Luroth expansion, Czechoslovak Mathematical Journal, 22 (1972), 266-271
  20. On the distribution of the maximum of random variables. Annals of Mathematical Statistics, 43 (1972), 516-521
  21. The distribution of the largest coefficient in continued fraction expansions.The Quarterly Journal of Mathematics, Oxford Second Series, 23 (1972), 147-151
  22. The Hausdorff dimension of sets related to g-expansions. Acta Arithmetica 20 (1972), 385-392
  23. On the asymptotic distribution of values of arithmetical functions. Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Mathematiche e Naturali, 52 (1972), 126-131
  24. A constructive uniqueness theorem on representing integers. Fibonacci Quarterly 10 (1972), 569-570 and 598
  25. The role of graph theory in some sieve arguments of probability theory. In: Graph Theory and Applications (ed.: Y. Alavi et al), Lecture Notes in Math., Springer, 303 (1972), 81-87
  26. The largest coefficient in continued fractions and related problems. In: Diophantine Approximations and its Applications (ed.: C.F. Osgood), Academic Press, New York, pp. 101-109, 1973
  27. Integral limit laws for additive functions. Canadian Journal of Mathematics, 25 (1973), 194-203
  28. Probabilistic theorems concerning expansions of real numbers. Periodica Mathematica Hungar. 3 (1973), 101-113
  29. The distribution of the maximum of a random number of random variables with applications. Journal of Applied Probability 10 (1973), 122-129
  30. Approximations of arithmetical functions by additive ones. Proceedings of the American Mathematical Society 39 (1973), 19-25
  31. A general Poisson limit theorem of probability theory. Duke Mathematical Journal 40 (1973), 581-586
  32. Regularly varying sequences (J. Galambos and E. Seneta). Proceedings of the American Mathematical Society, 41 (1973), 110-116
  33. On infinite series representations of real numbers. Compositio Mathematica 27 (1973), 197-204
  34. A limit theorem with applications in order statistics. Journal of Applied Probability 11 (1974), 219-222
  35. Sums of reciprocals of additive functions (J.M. De Koninck and J. Galambos) Acta Arithmetica 25 (1974), 159-164
  36. An iterated logarithm type theorem for the largest coefficient in continued fractions. Acta Arithmetica 25 (1974), 359-364
  37. Further ergodic results on the Oppenheim series. The Quarterly Journal of Mathematics, Oxford Second Series, 25 (1974), 135-141
  38. Asymptotic distribution of normalized arithmetical functions.(P. Erdos and J. Galambos). Proceedings of the American Mathematical Society 46 (1974), 1-8
  39. The asymptotic theory of concomitants of order statistics (H.A. David and J. Galambos). Journal of Applied Probability 11 (1974), 762-770
  40. Methods for proving Bonferroni type inequalities. Journal of the London Mathematical Society (2), 9 (1975), 561-564
  41. Characterizations in terms of properties of the smaller of two observations. Communications in Statistics 4 (1975), 239-244
  42. Characterizations of probability distributions by properties of order statistics II (discrete distributions). Statistical Distributions in Scientific Work 3 (1975), 89-102
  43. Record times (J. Galambos and E. Seneta). Proceedings of the American Mathematical Society 50 (1975), 383-387
  44. Order statistics of samples from multivariate distributions. Journal of the American Statistical Association 70 (1975), 674-680
  45. Limit laws for mixtures with applications to asymptotic theory of extremes.Zeitschrift fur Wahrscheinlichkeits- theorie und verwandte Gebiete 32 (1975), 197-207.
  46. A remark on the theory of sums with random size. Mathematical Proceedings of the Cambridge Philosophical Society 79 (1976), 531-532
  47. On a problem of Erdos on large prime divisors of n and n+1. Journal of the London Mathematical Society 58 (1976),263-266
  48. The rate of growth of the denominators in the Oppenheim series. Proceedings of the American Mathematical Society 58 (1976), 9-13
  49. The density of a sequence defined in terms of additive functions. Publicationes Mathematicae Debrecen 23 (1976), 263-266
  50. Uniformly distributed sequences mod 1 and Cantor's series representation. Czechoslovak Mathematical Journal 26 (1976), 636-641
  51. The sequence of prime divisors of integers. Acta Arithmetica 31 (1976/77), 9-14
  52. The asymptotic theory of extreme order statistics.In: The theory and applications of reliability (ed.Ch.Tsokos et al), Academic Press, 1977, pp.151-164
  53. The number of large prime divisors of consecutive integers. Journal of Number Theory 9 (1977), 338-341
  54. The absolute continuity of a limit law for Sylvester series. Compositio Mathematica 35 (1977), 125-128
  55. Exchangeable variates. Limit laws for exchangeable variables. In: Urn models and their applications (ed.: N.L. Johnson et al). Wiley, New York, 1977, pp. 97-105
  56. Bonferroni inequalities. Annals of Probability 5 (1977), 577-581
  57. Inequalities for linear combinations of binomial moments (J. Galambos and R. Mucci).Publicationes Mathematicae Debrecen 27 (1980), 263-268
  58. Extreme value theory in applied probability. The Mathematical Scientist 6 (1981), 13-26
  59. Failure time distributions: estimates and asymptotic results. Statistical Distributions in Scientific Work 5 (1981), 309-318
  60. The role of exchangeability in the theory of order statistics. In: Exchangeability in Probability and Statistics (ed.: G. Koch et al), North Holland, Amsterdam, 1982, pp.75-86
  61. The role of functional equations in stochastic model building. Aequationes Mathematicae 25 (1982), 21-41
  62. Characterizations of distributions. Encyclopedia of Statistical Sciences (Wiley) 2 (1982), 583-587
  63. Exponential distribution. Encyclopedia of Statistical Sciences (Wiley) 2 (1982), 583-587
  64. A statistical test for extreme value distributions. In: Non-parametric methods in statistics (ed.: B.V. Gnedenko et al),North Holland, Amsterdam, 1982, pp. 221-230
  65. Exchangeability. Encyclopedia of Statistical Sciences (Wiley) 2 (1982), 573-577
  66. Some characterizations of the exponential distribution via properties of the geometric distribution (J. Galambos and S. Kotz). In: Contributions to Statistics: Essays in Honour of Norman L. Johnson (ed.: P.K. Sen), North Holland, Amsterdam, 1983, pp. 159-163
  67. Order statistics. In: Handbook of Statistics, Vol. 4 (ed.: P.R. Krishnaiah et al), North Holland, Amsterdam, 1984, pp. 359-382
  68. Introduction, Order statistics, Exceedances. In: Statistical Extremes and Applications (ed.:J. Tiago de Oliveira), Reidel, Dordrecht, 1984, pp. 3-17
  69. Asymptotics, Stable laws for extremes, Tail properties.In: Statistical Extremes and Applications (ed.: J. Tiago de Oliveira), Reidel, Dordrecht, 1984, pp. 19-29
  70. Rates of convergence in extreme value theory. In: Statistical Extremes and Applications (ed.: J. Tiago de Oliveira), Reidel, Dordrecht, 1984, pp 347-352.
  71. A new bound on multivariate extreme value distributions. Annales Univ. Sci. Budapest, Sectio Math., 27 (1985), 37-41
  72. Multivariate order statistics. Encyclopedia of Statistical Sciences (Wiley) 6 (1985), 100-104
  73. Multivariate stable distributions. Encyclopedia of Statistical Sciences (Wiley) 6 (1985), 125-129
  74. A note on random walks in multidimensional time (J. Galambos and Imre Katai). Mathematical Proceedings of the Cambridge Philosophical Society 99 (1986), 163-170
  75. On a conjecture of Katai concerning weakly composite numbers. Proceedings of the American Mathematical Society 96 (1986), 215-216
  76. Probabilistic number theory. Encyclopedia of Statistical Sciences (Wiley) 7 (1986), 199-204
  77. Raikov's theorem. Encyclopedia of Statistical Sciences (Wiley) 7 (1986), 503
  78. On the distribution of multiplicative arithmetical functions (J. Galambos and P. Szusz). Acta Arithmetica 47 (1986),57-62
  79. Lifetime regression models based on a functional equation of physical nature (E. Castillo and J. Galambos). Journal of Applied Probability 24 (1987), 160-169
  80. Some remarks on random walks in multidimensional time (J. Galambos and Imre Katai). In: Proceedings of the Fifth Pannonian Symposium on Mathematical Statistics (ed.: J. Mogyorodi et al), Reidel, Dordrecht, 1987, pp. 65-74.
  81. A renewal theorem for random walks in multidimensional time (J. Galambos, K.H. Indlekofer and Imre Katai). Transactions of the American Mathematical Society 300 (1987), 759-769
  82. Bivariate distributions with normal conditionals (E. Castillo and J. Galambos). In: Simulation, Modelling and Development (ed.: M.H. Hamza), Acta Press, Anaheim, 1987, pp. 59-62
  83. The intermediate prime divisors of integers (J.M. De Koninck and J. Galambos). Proceedings of the American Mathematical Society 101 (1987), 213-216
  84. Restricted domains of attraction of exp(-e(-x)).(J. Galambos and A. Obretenov). Stochastic Processes and their applications 25 (1987), 265-271
  85. The gaps in a particular sequence of integers of positive density (J. Galambos and Imre Katai). Journal of the London Mathematical Society (2) 36 (1987), 429-435.
  86. Truncation methods in probability theory. Encyclopedia of Statistical Sciences (Wiley) 9 (1988), 355-357
  87. On randomly selected arithmetical sums (J.M. De Koninck and J. Galambos) Acta Mathematica Hungarica 52 (1988), 37-43
  88. Variants of the graph dependent model in extreme value theory. Communications in Statistics: Theory and Methods 17 (1988),2211-2221
  89. A simple proof for the continuity of infinite convolutions of binary random variables (J. Galambos and Imre Katai). Statistics and Probability Letters, 7 (1989), 369-370.
  90. Two series theorem. Encyclopedia of Statistical Sciences (Wiley) 9 (1988) 372-373.
  91. The selection of the domain of attraction of an extreme value distribution based on a set of data (E. Castillo, J. Galambos and J.M. Sarabia). In: Extreme Value Theory (ed.: J. Husler et al), Lecture Notes in Statistics, Springer, Vol. 51, pp. 181-190, 1989.
  92. Conditional distributions and the bivariate normal distribution (E. Castillo and J. Galambos). Metrika 36 (1989), 209-214.
  93. A new method for generating Bonferroni-type inequalities by iteration (J. Galambos and Y. Xu). Mathematical Proceedings of the Cambridge Philosophical Society 107 (1990), 601-607.
  94. Bivariate distributions with Weibull conditionals (E. Castillo and J. Galambos). Analysis Mathematica 16 (1990),3-9.
  95. Characterizations of the logistic distribution. In: The Logistic Distribution (ed.: N. Balakrishnan). Marcel Dekker, 1991, 169-188.
  96. The continuity of the limiting distribution of a function of two additive functions (J. Galambos and Imre Katai). Mathematische Zeitschrift, 204(1990), 247-252.
  97. Regularly varying expected residual life and domains of attraction of extreme value distributions (J. Galambos and Y. Xu). Annales Univ. Sci. Budapest, Sectio Math. 33 (1990), 105-108.
  98. Characterization of bivariate models with gamma conditionals (in Spanish) (E. Castillo, J. Galambos and J.M. Sarabia). Estadistica Espanola 32(1990), 439-450.
  99. Additive functions vanishing outside a given set of primes. (J. Galambos and K.H. Indlekofer). Publ. Math. Debrecen 39(1992), 40:(1992), 1-8.
  100. Extensions of some extremal properties of prime divisors to Poisson limit Theorems. In The Grosswald Memorial Volume published by The Amer. Math. Soc., ed.: M. Knopp. Contemporary Math., 143(1993), 363-369.
  101. The extension of Williams's method to the metric theory of general Oppenheim expansions. Studia Sci. Math. Hungar. 26 (1991),321 - 327
  102. The charatenzation of a distribution function by second moment of the residual life(J. Galambos and Ch. Hagwood). Communications in Statistics, 21(1992), 1463-1468.
  103. Some optimal bivariate Bonferroni-type bounds,(J. Galambos and Y. Xu). Proc. Amer. Meth. Soc., 117(1993), 523-528
  104. Random sample sizes: limit theorems and charactenzations. In: Probability Theory and Applications (eds.; J. Galambos and I. Katai Kluwer, Dordrecht. 1992, pp. 107 - 123.
  105. Extensions of some univariate Bonferroni- type inequalities to multivariate setting ( Janos Galambos and M.-Y. Lee).In: Probability Theory and Applications (eds.: J. Galambos and I. Katai), Kluwer, Dordrecht, 1992, pp. 143 - 154.
  106. Univarviate and multivariate Bonferroni - type inequalities: Methods for proof and questions of optimality (Janos Galambos and Yuan Xu). In: Probability Theory and Applications (eds.: J. Galambos and I. Katai),Kluwer,Dordrecht,1992, pp.155-164.
  107. Bonferroni-type and related inequalities in statistics: A survey.Journal of Applied Statistical Science, 2(1994),195- 209.
  108. An unreliable server characterization of the exponential distribution(J. Galambos and Ch. Hagwood). Journal of Applied Probability, 31(1994), 274-279.
  109. Further studies of bivariate Bonferroni-type inequalities (J. Galambos and Min-Young Lee). Journal of Applied Probability, 31 A (1994), 63-69.
  110. Extreme value theory for applications. In: Extreme Value Theory and Applications (eds.: J. Galambos et al) Kluwer, Dordrecht, 1994, pp. 1-14.
  111. Analytical and empirical study of the tails of probability distribution (J. Galambos and N. Macri). In: Extreme Value Theory and Applications (eds.: J. Galambos et al.) Kluwer, Dordrecht, 1994, pp. 199-209.
  112. The development of the mathematical theory of extremes in the past half century (in Russian). Theory of Probability and its Applications, 39 (1994), 272-293.
  113. Bivariate extensions of the method of polynomials for Bonferroni - type inequalities. (J. Galambos and Y. Xu) Journal of Multivatiate Analysis, 52 (1995), 131-139.
  114. Two sets of multivariate Bonferroni-type inequalities. (J. Galambos and Y. Xu) In: Statistical Theory and Application (eds.: H.N. Nagaraja et al) Springer, New York, 1995, 29-36.
  115. Univariate extreme value theory and applications. In.: Handbook of Statistics, Vol. 16: Order Statistics and Their Application (eds.: N. Balakrishnan and C.R. Rao). North Holland, Amsterdam, 1996, pp. 315-333.
  116. An extension of the method of polynomials and a new reduction formula for Bonferroni-type inequalities. (With Italo Simonelli). Statistics and Probability Letters, 28 (1996), 147-151.
  117. Moments, Binomial Moments and Combinatorics. In: Advances in Combinatorial Methods and Applications to Probability and Statistics (ed.: N. Balakrishnan) Birkhauser, Boston, 1997, pp. 275-284.
  118. Further metrical results on series expansions. Publ. Math. Debrecen 52 (1998),377-384.
  119. Approximation of real numbers by rationals via series expansions. Ann.Univ. Sci. Budapest, Sectio Comput.18 (1999),89-93.
  120. Classical extreme value model and prediction of extreme winds. (Janos Galambos and Nicholas Macri).J.of Structural Engineering, 125 (#7) (1999), 792-794.
  121. The life length of humans does not have a limit. (Janos Galambos and Nicholas Macri).J. of Applied Statist. Sci. 9 (2000), pp. 253-263.
  122. The classical extreme value model: mathematical results versus statistical inference. In: Statistics for the 21st Century (eds.: C.R.Rao and Gabor J. Szekely), Marcel Dekker, New York, (2000), pp. 173-187.
  123. A purely probabilistic proof for a theorem of Bakstys on multiplicative functions. (Janos Galambos and Italo Simonelli). Annales Univ.Sci. Budapest, Sectio Computatorica 21, (2002), pp. 177-186
  124. The odd number of occurrences in a sequence of events.(Janos Galambos and Italo Simonelli). Intern. Math. Jornal 3, (2003), pp. 497-502
  125. Metric properties of alternating Oppenheim series.(Janos Galambos, Imre Katai, and Min-Young Lee).Acta Arithm. 109.2, (2003), pp. 151-158
  126. Comments on a recent limit theorem of Quine.(Janos Galambos and Italo Simonelli). Statist. & Probability Letters 63, (2003), pp. 89-95
  127. Once more about Wirsing's Theorem of multiplicative functions: a simple probabillistic proof.(Janos Galambos and Italo Simonelli). Annales Univ. Sci. Budapest, Sectio Computatorica 22, (2003), pp. 103-112
  128. Distribution of multiplicative functions: the symmetric case.(Janos Galambos and Italo Simonelli).Annales Univ. Sci. Budapest, Sectio Computatorica 23, (2004), pp. 83-94
  129. Characterizations of probability distributions by properties of products of random variables. (Janos Galambos and Italo Simonelli). J. of Applied Statist. Sci. 13, number1, (2004), pp. 1-10.