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Estate Khmaladze

List of Publications

  1. "Probabilistic Model of Consumption of Durable Goods" Proc. III Conference of the Institute of Applied Mathematics, Tbilisi, 1971, Tbilisi University Pbl., 29-31, with L. Todua
  2. "Estimation of Necessary Sample Size for Discrimination between Close Hypotheses" Theory Probab. Appl., 1971, v.XVI, N3, 570-572
  3. "Estimation of Necessary Sample Size for Discrimination between Parametric Hypotheses" Bulletin of Georgian Acad. Sc., 1972, v.65, 285-288
  4. "Use of the Mathematical Satellite Model of determining Frequencies of Association of Acrocentric Chromosomes Depending on Human Age" Internat. J. Bio-Medical Computing, 1972, v.3, N3, 181-199, with R. Chitashvili and T. Lezava
  5. "On Detection of Systematically Larger Chromosomes among B Human Chromosomes" Proc.of 1-st Conference of Tbilisi State University on Human Cytogenetics, 14-16, Tbilisi, 1974, Metsniereba, with E. Parsadanishvili
  6. "Association of Acrocentric Chromosomes Depending on Age" Proc. of 1-st Conference of Tbilisi State University on Human Cytogenetics, 95-102, Tbilisi, 1974, Metsniereba
  7. "Estimation of Necessary Sample Size for Discrimination between Close Hypotheses and Distance in Variation" Theory Probab. Appl., 1975, v.XX, N1, 116-127
  8. "Mathematical and Physical Modelling of the Bioelectrical Rythm 55 c/sec" Internat. J. Bio-Medical Computing, 1974, v.5, N1, 17-21, with D. Gedevani and R. Chitashvili
  9. "Occurrence of acrocentric chromosomes with expressed satellites in the presence of associations and without them in respect to the age" Trudi Tbilisi University (Russ.), 1977, 192, 93-95, with R. Chitashvili and T. Lezava
  10. "On Errors Related to the Use of Expert Estimates" Internat. J. Bio-Medical Computing, 1977, v.8, N1, 11-20, with F. Nefedov
  11. "On Omega-square Tests for Parametric Hypotheses" Theory Probab. Appl., 1977, v.XXII, N3, 627-629
  12. "Rank Tests for Hypotheses Concerning Unidentifiable Objects" Theory Probab. Appl., 1977, v.XXII, N3, 630-631, with E. Parsadanishvili
  13. "Frequencies of Association of Acrocentric Chromosomes in Extreme Old Age" Proc. Tbilisi State University, 1977, v.192, 68-79, with R. Chitashvili and T. Lezava
  14. "Spontaneous Level of Qualitative Changes of Chromosomes in Extreme Old Age" Proc. Georgian Acad. Sc., Ser. Biology 1978, v.24, N2, 162-170, with T. Lezava
  15. "The use of Omega-square Tests for Testing Parametric Hypotheses" Theory Probab. Appl., 1979, v.XXIV, N2, 283-302
  16. "Rank Tests for Hypotheses Concerning Unidentifiable Objects" Banach Center Publications, 1980, v.6, 179-182, Polish Acad. Sc.
  17. "On Asymptotic Theory of Rank Tests" Theory Probab. Appl., 1980, v.XXV, N3, 661-662
  18. "A Remark on Weak Convergence of Linear Divisible Statistics" Theory Probab. Appl., 1980, v.XXV, N3, 622-624
  19. "On $L_1$ -convergence of Statistical Kernel Density Estimates" Sov. Math. Doklady, 1981, v.258, N5, 1052-1056, with R. Mnatsakanov
  20. "Martingale Approach to Nonparametric Goodness of Fit Tests" Theory Probab. Appl., 1981, v.XXVI, N2, 240-258
  21. "On the book of B.Mandelbrot "Fractals" Theory Probab. Appl., 1981, v.XXVI, N2, 436
  22. "Testing of Statistical Hypotheses on Unidentifiable Objects" Theory Probab. Appl., 1982, v.XXVII, N1, 175-183, with E. Parsadanishvili
  23. "On Computing the Probability of an Empirical Process not Crossing a Curvelinear Boundary" Theory Probab. Appl., 1982, v.XXVII, N3, 640-649, with V. Kotel'nikova
  24. "One Approximation of Distribution of Positively Defined Quadratic Form of Normal Random Variables" Bulletin of Georgian Acad. Sc., 1982, v.107, N2, 211-216, with V. Felker and G. Mania
  25. "Some Applications of the Theory of Martingales to Statistics" Russian Math. Surveys, 1982, v.37/6, 215-237
  26. "Martingale Limit Theorems for Divisible Statistics" Theory Probab. Appl., 1983, v.XXVIII, N3, 530-549
  27. "Nonparametric Tests for Hypotheses on Unidentifiable Objects" in "Stochastic Analysis and Asymptotic Problems of Probab. Theory and Math. Statistics", 45-56, 1984, Tbilisi, Metsniereba, with E. Parsadanishvili
  28. "Functional Limit Theorems for Linear Statistics of Sequential Ranks" Probab. Theory. Related Fields, 1986, v.73, 585-595, with A. Parjanadze
  29. "Innovation Fields and the Problem of Testing a Simple Hypothesis in $R^m$" Sov. Math. Doklady, 1986, v.290, N2, 301-304
  30. "On Asymptotic Theory of Statistics Based on Sequential Ranks" Theory Probab. Appl., 1986, v.XXXI, N4, 669-683, with A. Parjanadze
  31. "Comments on A.N.Kolmogorov's Paper "Sulla Determinazione di Una Legge di Distribuzione" of 1933", 514-520, in A.N. Kolmogorov "Theory of Probability and Mathematical Statistics. Selected Papers", 1986, Moscow, Nauka Pbl.
  32. "On Goodness of Fit Tests in $R^m$ for Parametric Hypotheses" Sov. Math. Doklady, 1987, v.294, N5, 1058-1061, with A. Nikabadze
  33. "Comments on L.N.Bol'shev's Papers "Chi-square Goodness of Fit Tests for Poisson, Binomial and Negative Binomial Distributions" and "One Solution of Two-sample Problem", 279-281 in L.N. Bol'shev "Probability Theory and Mathematical Statistics. Selected Papers", 1987, Moscow, Nauka Pbl.
  34. "An Innovation Approach to Goodness of Fit Tests in $R^m$" Ann. Statist., 1988, v.16, N4, 1503-1517
  35. "Characteristics of Cis- and Trans- Orientation Chromatid Types of Association in Human Lymphocytes in Extreme Old Age" Proc. Japan Acad., 1988, v.64, B, N5, 131-134, with T. Lezava
  36. "Aneuploidy in Human Lymphocytes in Extreme Old Age" Proc. Japan Acad., 1988, v.64, B, N5, 128-130, with T. Lezava
  37. "Characteristics of Cis- and Transorientation Chromatid Types of Association in Human Extreme Old Age" Proc. Japan Acad.,1988, v.64, B, N5, 131-134, with T. Lezava
  38. "The Statistical Analysis of a Large Number of Rare Events and Related Topics" in "Probability Theory and Mathematical Statistics", Proc. A.M. Razmadze Mathemat. Inst., 1989, 196-245, with R. Chitashvili
  39. "Characterization of Gis- and Transposition of Chromatids of the Association Type at Human Extreme Old Age" Genetika (Russ.), 1989, 15, 4, 727-733, with T. Lezava
  40. "Goodness of Fit Problem and Scanning Innovation Martingales" Ann. Statist., 1993, v.21, N2, 798-830
  41. "On Polynomial Distributions with Large Number of Rare Events" Mathemat.Methods Statistics, 1993, v.2, N2, 240-247, with Z. Tsigroshvili
  42. "Asymptotic behavior of a number of repeated records" Statist. Probab. Letters, 1997, v.35, N2, 49-58, with M. Nadareishvili and A. Nikabadze
  43. "Goodness of fit tests for ``chimeric'' alternatives" Statistica Neerlandica, 1998, v.51, N1, 90-121.
  44. "Introduction to mathematical demography and insurance mathematics" GSA, Tbilisi, 2000, with G. Mirzashvili
  45. "Two-sample problem in R^m and scanning martingales" IMS Monographs / Lecture Notes, 2001, v.36, "State of the Art in Statistics and Probability Theory; Festschrift for Willem R. van Zwet",  434-464, with J.H.J. Einmahl
  46. "Towards Innovation Theory of Spatial Brownian Motion under Boundary Conditions", Georgian Mathemat. J., 2001, v.8,  N2, 365-379.
  47. "Statistical analysis for large number of rare events" revised version submitted to the J. Roy. Statist. Soc., B. 7, 2001
  48. "Calculation of non-crossing probabilities for Poisson process and its corollaries" Adv. Appl. Prob., 2001, v.33,  N3, 702-716, with E. Shinjikashvili
  49. "On a.s. coverage property of Voronoi tessellation" Adv. Appl. Prob., 2001, v.33, N4, 756-764 with N.Toronjadze
  50. "Zipf's Law", Encyclopaedia of Mathematics, Supplement III, Kluwer Academic Publishers, Dordrecht, 2002, 460-463
  51. "Martingale transforms goodness of fit tests in regression models",  accepted to the Ann. Statist., 2002, with H.L.Koul
  52. ``The change set problem and local covering numbers", submitted to the Ann. Statist., 2002, with R.M.Mnatsakanov and N.Toronjadze
  53. "Analysis of bank failure using published financial statements: the case of Indonesia (Part 1)", J. Data Analysis, 2003, v1, N2, 199-230, with L.Judijanto
  54. "Analysis of bank failure using published financial statements: the case of Indonesia (Part 2)", J. Data Analysis, 2003, v1, N3, 313-336, with L.Judijanto
  55. "Martingale Transforms Goodness-Of-Fit tests in Regression Models", Ann.Statist., 2004 (in print), with H.L.Koul
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