Selected publications

Tamás F. Móri

  1. On the rate of convergence in the martingale central limit theorem. Studia Sci. Math. Hungar. 12 (1977) 413-417.
  2. On the asymptotic network delay in a model of packet switching. Comp. Math. Appl. 7 (1981) 167-172.
  3. Non-classical central limit theorems for martingales. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Math. 24 (1981) 113-121.
  4. On a Hoeffding-type problem.In: P. Révész et al. (Eds.) The First Pannonian Symposium on Mathematical Statistics (Bad Tatzmannsdorf, Austria, 1979) Lecture Notes in Statistics 8, Springer, Berlin, 1981, 174-181.
  5. (with G. J. Székely) Asymptotic behaviour of symmetric polynomial statistics. Ann. Probab. 10 (1982) 124-131. pdf
  6. On favourable stochastic games. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Comput. 3 (1982) 99-103. pdf
  7. Note on the Cramér-Rao inequality in the non-regular case: The family of uniform distributions. J. Statist. Planning Inf. 7 (1983) 353-358.
  8. (with J. Mogyoródi) Necessary and sufficient condition for the maximal inequality of convex Young functions. Acta Sci. Math. Szeged 45 (1983) 325-332.
  9. (with G. J. Székely) On the Erdős-Rényi generalization of the Borel-Cantelli lemma. Studia Sci. Math. Hungar. 18 (1983) 353-358. pdf
  10. Favourable stochastic games. In: H. Caeyers, P. Embrechts (Eds.) 3rd European Young Statisticians Meeting (Leuven, Belgium, 1983) 125-128.
  11. I-divergence geometry of distributions and stochastic games.In: J. Mogyoródi et al. (Eds.) Statistics and Probability (Proceedings of the 3rd PSMS, Visegrád, Hungary, 1982), Reidel, Dordrecht, 1984, 231-238.pdf
  12. (with G. J. Székely) Asymptotic independence of 'pure head' stopping times. Statist. Probab. Lett. 2 (1984) 5-8.
  13. (with G. J. Székely) How to win if you can? In: P. Révész et al. (Eds.) Limit Theorems in Probability and Statistics (Veszprém, Hungary, 1982) Vol.2, Colloq. Math. Soc. J. Bolyai 36, North-Holland, Amsterdam, 1984, 791-806.pdf
  14. Asymptotic properties of the empirical strategy in favourable stochastic games. In: P. Révész et al. (Eds.) Limit Theorems in Probability and Statistics (Veszprém, Hungary, 1982) Vol.2, Colloq. Math. Soc. J. Bolyai 36, North-Holland, Amsterdam, 1984, 777-790.pdf
  15. The random secretary problem with multiple choice. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Comput. 5 (1984) 91-102. pdf
  16. (with F. Göndöcs, Gy. Michaletzky and G. J. Székely) A characterization of infinitely divisible Markov chains with finite state space. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Math. 27 (1985) 137-141.
  17. Large deviation results for waiting times in repeated experiments. Acta Math. Hungar. 45 (1985) 213-221. pdf
  18. (with G. J. Székely) An extremal property of rectangular distributions. Statist. Probab. Lett. 3 (1985) 107-109.
  19. The secretary problem with hesitating candidates. In: W. Grossmann et al. (Eds.) Mathematical Statistics and Applications (Proceedings of the 4th PSMS, Bad Tatzmannsdorf, Austria, 1983) Vol.B, Akadémiai Kiadó, Budapest, and Reidel, Dordrecht, 1985, 209-226.
  20. (with G. J. Székely) A note on the background of several Bonferroni-Galambos type inequalities. J. Appl. Probab. 22 (1985) 836-843. pdf
  21. Is the empirical strategy optimal? J. Statist. Decisions 4 (1986) 45-60.pdf
  22. A studentized Chebyshev inequality. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Comput. 6 (1985) 3-9. pdf
  23. On the expectation of the maximum waiting time. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Comput. 7 (1987) 111-115. pdf
  24. Hitting a small group of middle-ranked candidates in the secretary problem. In: W. Grossmann et al. (Eds.) Probability Theory and Mathematical Statistics with Applications (Proceedings of the 5th PSMS, Visegrád, Hungary, 1985), Akadémiai Kiadó, Budapest, and Reidel, Dordrecht, 1987, 155-169.
  25. (Székely J. Gáborral, szerk.) Többváltozós statisztikai analízis. Műszaki Könyvkiadó, Budapest, 1986.
  26. Max-arithmetic of aging distributions. In: J. L. Jensen, M. Sorensen (Eds.) 5th European Young Statisticians Meeting (Aarhus, Denmark, 1987), Dept. Theor. Statist., Inst. Math., Aarhus Univ., 1987, 17-21.
  27. Maximum waiting time when the size of the alphabet increases. In: P. Bauer et al. (Eds.) Mathematical Statistics and Probability Theory (Proceedings of the 6th PSMS, Bad Tatzmannsdorf, Austria, 1986) Vol.B., Reidel, Dordrecht, 1987, 169-178.
  28. On the number of different patterns preceding a given one. Studia Sci. Math. Hungar. 24 (1989) 355-364.
  29. On the waiting time till each of some given patterns occurs as a run. Probab. Th. Rel. Fields 87 (1991) 313-323. pdf
  30. More on the waiting time till each of some given patterns occurs as a run. Can. J. Math. 42 (1990) 915-932. pdf
  31. (with I. Berkes and H. Dehling) Counterexamples related to the a.s. central limit theorem. Studia Sci. Math. Hungar. 26 (1991) 153-164.
  32. Random walks on de Bruijn graphs. Th. Probab. Appl. 37 (1992) 158-160.
  33. Essential correlatedness and almost independence. Statist. Probab. Lett. 15 (1992) 169-172.
  34. (with A. Kováts) Aging properties of certain dependent geometric sums. J. Appl. Probab. 29 (1992) 655-666. pdf
  35. Arithmetic of aging distributions: convolution. Studia Sci. Math. Hungar. 29 (1994) 279-294.
  36. Arithmetic of aging distributions: maximum. Acta Math. Hungar. 64 (1994) 27-40. pdf
  37. (with A. Kováts) Aging solutions of certain renewal type equations. In: J. Galambos, I. Kátai (Eds.) Probability Theory and Applications, Essays to the Memory of József Mogyoródi. Kluwer, Dordrecht, 1992, 125-141. pdf
  38. Maximum waiting times are asymptotically independent. Combinatorics, Probability and Computing 1 (1992) 251-264.
  39. Asymptotic independence of maximum waiting times for increasing alphabet. Periodica Math. Hungar. 25 (1992) 95-104. pdf
  40. How homogeneous can the last appearing pattern be? Random Structures and Algorithms 4 (1993) 59-70.
  41. Asymptotic joint distribution of cover times. In: A. P. Godbole and S. G. Papastavridis (Eds.) Runs and Patterns in Probability: Selected Papers. Kluwer, Dordrecht, 1994, 307-327.
  42. The a.s. limit distribution of the longest head run. Canad. J. Math. 45 (1993) 1245-1262. pdf
  43. On the strong law of large numbers for logarithmically weighted sums. Annales Univ. Sci. Budapest. R. Eötvös Nom., Sect. Math. 36 (1993) 35-46. pdf
  44. (with A. K. Gupta and G. J. Székely) Testing for Poisson-normal vs. other infinitely divisible distributions. Statist. Probab. Lett. 19 (1994) 245-248.
  45. On long runs of heads and tails. Statist. Probab. Lett. 19 (1994) 85-89.
  46. Covering with blocks in the non-symmetric case. J. Theor. Probab. 8 (1995) 139-164.
  47. On long runs of heads and tails II. Periodica Math. Hungar. 28 (1994) 89-97.pdf
  48. (with V. K. Rohatgi and G. J. Székely) On multivariate skewness and kurtosis. Publ. Inst. Stat. Univ. Paris 38, No.2 (1994) 101-108. pdf
  49. Large deviation results for cover times. Studia Sci. Math. Hungar. 31 (1996) 225-236.
  50. Cover times for words in symmetric and non-symmetric cases: a comparison. J. Math. Sci., 76 (1995) 2288-2298. pdf (slightly incomplete)
  51. Bonferroni inequalities and deviations of discrete distributions. J. Appl. Prob., 33 (1996) 115-121. pdf
  52. (with B. Kodaj) On the number of comparisons in Hoare's algorithm FIND. Studia Sci. Math. Hungar., 33 (1997) 185-207.
  53. Asymptotics of periodic permanents. Studia Sci. Math. Hungar., 34 (1998) 333-344.
  54. (Zempléni Andrással és Szeidl Lászlóval) Matematika statisztika példatár. ELTE Eötvös Kiadó, Budapest, 1997.
  55. Diszkrét paraméterű martingálok. Egyetemi jegyzet, ELTE, 1999.
  56. Futamokkal kapcsolatos határeloszlás-tételek. In: Közgyűlési Előadások 1999, I. kötet, Akadémiai Műhely, MTA, Budapest, 2001, 111–122. pdf
  57. Separating systems of random subsets, In: I. Berkes, E. Csáki, M. Csörgő (Eds) Limit Theorems in Probability and Statistics (Balatonlelle, 1999), Vol. II., J. Bolyai Math. Soc., Budapest, 2002, 405–425. pdf
  58. Heads vs Tails. Theor. Probab. Appl., 45 (2000) 815–816.
  59. On the multiplicity of the sample maximum and the longest head run. Periodica Math. Hungar., 41 (2000) 195-212. pdf
  60. (with A. K. Gupta and G. J. Székely) How to transform correlated random variables into uncorrelated ones. Appl. Math. Lett., 13 (2000), no. 6, 31-33.
  61. (with G. J. Székely) A characteristic measure of asymmetry and its application for testing diagonal symmetry. Communications in Statistics, Theory and Methods, 30 (2001), 1633–1639.
  62. (with G. J. Székely) Independence and atoms. Proc. Amer. Math. Soc., 130 (2002), 213-216. pdf
  63. On stochastic orders. Publ. Inst. Math. (Beograd), Nouvelle Série, 70(84), (2001), 59-62. pdf
  64. On the distribution of sums of overlapping products. Acta Sci. Math. (Szeged), 67 (2001), 883–891. pdf
  65. On random trees. Studia Sci. Math. Hungar., 39 (2002), 143–155. pdf
  66. (with B. Székely) Almost sure convergence of weighted partial sums. Acta Math. Hungar., 99 (2003), 285-303. pdf
  67. The maximum degree of the Barabási-Albert random tree. Comb. Probab. Computing, 14 (2005), 339­–348. pdf
  68. (with V. Csiszár) The convexity method of proving moment-type inequalities. Statist. Probab. Lett., 66 (2004), 303–313. pdf
  69. (with V. Csiszár and G. J. Székely) Chebyshev-type inequalities for scale mixtures. Statist. Probab. Lett., 71 (2005), 323­–335. pdf
  70. A surprising property of the Barabási–Albert random tree. Studia Sci. Math. Hungar. 43 (2006), 265–273. pdf
  71. (with Z. Katona) A new class of scale free random graphs. Statist. Probab. Lett.76 (2006), 1587–1593. pdf
  72. On a 2-parameter class of scale free random graphs. Acta Math. Hungar., 114 (2007), 37–48. pdf
  73. Exact integral inequalities for convex functions. J. Math. Inequalities 1 (2007), 105–116. pdf
  74. Degree distribution nearby the origin of a preferential attachment graph. Electron. Comm. Probab., 12 (2007), 276–282.
  75. (with V. Csiszár) Sharp integral inequalities for products of convex functions. JIPAM. J. Inequal. Pure Appl. Math. 8/4 (2007), Art. 94. (electronic) pdf
  76. On an inequality of Feng Qi. JIPAM. J. Inequal. Pure Appl. Math. 9/3 (2008), Art. 87 (electronic) pdf
  77. Deviation of discrete distributions - positive and negative results. Statist. Probab. Lett. 79 (2009), 1089–1096. pdf
  78. A general inequality of Ngô-Thang-Dat-Tuan type. JIPAM. J. Inequal. Pure Appl. Math. 10/1 (2009), Art. 10 (electronic) pdf
  79. Random multitrees. Studia Sci. Math. Hungar.47 (2010), 59–80. pdf
  80. (with V. Csiszár) A Bienaymé–Chebyshev inequality for scale mixtures of the multivariate normal distribution. Math. Inequal. Appl. 12 (2009), 839–844. pdf
  81. Sharp inequalities between centered moments. JIPAM. J. Inequal. Pure Appl. Math. 10/4 (2009), Art. 99. (electronic) pdf
  82. (with J. Garay) When is predator's opportunism remunerative? Community Ecology 11 (2010), 160–170.
  83. (with L. Antal) How large can the coefficients of a power series be? Annales Univ. Sci. Budapest. Sect. Comput. 34 (2011), 25–32. pdf
  84. (with V. Csiszár, P. Hussami, J. Komlós, L. Rejtő, G. Tusnády) When the degree sequence is a sufficient statistic. Acta Math. Hungar. 134 (2012), 45–53. pdf
  85. (with Á. Backhausz) Local degree distribution in scale free random graphs. Electron. J. Probab., 16 (2011), 1465–1488.
  86. (with J. Garay) Is envy one of the possible evolutionary roots of charity? BioSystems 106 (2011), 28–35.
  87. Élettartamadatok elemzése. Typotex Kft., Budapest, 2011.
  88. Statisztikai hipotézisvizsgálat. Typotex Kft., Budapest, 2011.
  89. Diszkrét paraméterű martingálok. Typotex Kft., Budapest, 2011.
  90. (with A. Iványi, L. Lucz, P. Sótér) On Erdős-Gallai and Havel-Hakimi algorithms. Acta Univ. Sapientiae, Informatica, 3 (2011) 230–268. pdf
  91. (with Á. Backhausz) A random graph model based on 3-interactions. Annales Univ. Sci. Budapest., Sect. Comput. 36 (2012), 41–52. pdf
  92. (with Á. Backhausz) Degree distribution in the lower levels of the uniform recursive tree. Annales Univ. Sci. Budapest., Sect. Comput. 36 (2012), 53–62. pdf
  93. (with J. Garay) Monogamy Has a Fixation Advantage Based on Fitness Variance in an Ideal Promiscuity Group. Bull. Math. Biol. 74 (2012), 2676–2691. pdf
  94. (with V. Csiszár, P. Hussami, J. Komlós, L. Rejtő, G. Tusnády) Testing Goodness of Fit of Random Graph Models. Algorithms 5 (2012), 629–635. pdf
  95. (with J. Garay and V. Csiszár) Under multilevel selection:“When shall you be neither spiteful nor envious?” J. Theor. Biol. 340 (2014), 73–84. pdf
  96. (with Á. Backhausz) A random model of publication activity. Discrete Appl. Math. 162 (2014), 78–89. pdf
  97. (with Á. Backhausz) Weights and degrees in a random graph model based on 3-interactions. Acta Math. Hungar. 143 (2014), 23–43. pdf
  98. (with V. Csiszár, T. Fegyverneki) Explicit multivariate bounds of Chebyshev type. Annales Univ. Sci. Budapest., Sect. Comput. 42 (2014), 109–125. pdf
  99. (with Á. Backhausz) Asymptotics of a renewal-like recursion and an integral equation. Appl. Anal. Discrete Math. 8 (2014), 200–223. pdf
  100. (with Á. Backhausz) Asymptotic properties of a random graph with duplications. J. Appl. Probab. 52 (2015), 375–390. pdf
  101. (with Á. Backhausz) Further properties of a random graph with duplications and deletions. Stoch. Mod. 32 (2016), 99–120. pdf
  102. Accuracy of Approximation for Discrete Distributions. J. Probab. Statist. 2016 (2016), Article ID 6212567.
  103. (with J. Garay and V. Csiszár) Evolutionary stability for matrix games under time constraints. J. Theor. Biol. 415 (2017), 1–12. pdf
  104. (with J. Garay and V. Csiszár) Survival Phenotype, Selfish Individual versus Darwinian Phenotype. J. Theor. Biol. 430 (2017), 86–91.
  105. (with G. J. Székely) Representations by uncorrelated random variables. Math. Methods Statist. 26 (2017), 149–153.
  106. (with S. Rokob) A random graph model driven by time dependent branching dynamics. Annales Univ. Sci. Budapest., Sect. Comput. 46 (2017), 191–213.
  107. (with J. Garay, R. Cressman, T. F. Móri, T. Varga) The ESS and replicator equation in matrix games under time constraints. J. Math. Biol. 76(7) (2018), 1951–1973.
  108. (with J. Garay, Z. Varga, I. López, M. Gámez, J. R. Gallego, T. Cabello) Opportunistic random searcher versus intentional search image user Scientific Reports 8(1) (2018), Article number 3336.
  109. (with J. Garay, V. Csiszár, A. Szilágyi, Z. Varga, Sz. Számadó) Juvenile honest food solicitation and parental investment as a life history strategy: A kin demographic selection model. PLoS ONE 13(3) (2018), e0193420.
  110. (with S. Rokob) Further properties of a random graph model driven by time-dependent branching dynamics. Annales Univ. Sci. Budapest., Sect. Comp. 48 (2018), 105–115.
  111. (with G. J. Székely) Four simple axioms of dependence measures. Metrika, 82(1) (2019), 1–16
  112. (with S. Rokob) Random cherry graphs. Publ. Math. Debrecen 95(1–2) (2019), 93–114.
  113. (with J. Garay, B. M. Garay, Z. Varga, V. Csiszár) To save or not to save your family member's life? Evolutionary stability of self-sacrificing life history strategy in monogamous sexual populations. BMC Evolutionary Biology 19 (2019), Article Number: 147
  114. (with S. Rokob) Moments of general time dependent branching processes with applications. Acta Math. Hungar.159(1) (2019), 131–149
  115. (with G. J. Székely) Pseudorandom processes. Stoch. Proc. Appl. (2019)
  116. (with T. Varga and J. Garay) The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics. J. Math. Biol. 80(3) (2020), 743–774.