Estate Khmaladze
List of Publications
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"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
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"Estimation of Necessary Sample Size for Discrimination between Close Hypotheses"
Theory Probab. Appl., 1971, v.XVI, N3, 570-572
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"Estimation of Necessary Sample Size for Discrimination between Parametric
Hypotheses" Bulletin of Georgian Acad. Sc., 1972, v.65, 285-288
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"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
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"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
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"Association of Acrocentric Chromosomes Depending on Age" Proc. of 1-st
Conference of Tbilisi State University on Human Cytogenetics, 95-102, Tbilisi,
1974, Metsniereba
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"Estimation of Necessary Sample Size for Discrimination between Close Hypotheses
and Distance in Variation" Theory Probab. Appl., 1975, v.XX, N1, 116-127
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"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
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"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
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"On Errors Related to the Use of Expert Estimates" Internat. J. Bio-Medical
Computing, 1977, v.8, N1, 11-20, with F. Nefedov
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"On Omega-square Tests for Parametric Hypotheses" Theory Probab. Appl.,
1977, v.XXII, N3, 627-629
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"Rank Tests for Hypotheses Concerning Unidentifiable Objects" Theory Probab.
Appl., 1977, v.XXII, N3, 630-631, with E. Parsadanishvili
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"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
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"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
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"The use of Omega-square Tests for Testing Parametric Hypotheses" Theory
Probab. Appl., 1979, v.XXIV, N2, 283-302
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"Rank Tests for Hypotheses Concerning Unidentifiable Objects" Banach Center
Publications, 1980, v.6, 179-182, Polish Acad. Sc.
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"On Asymptotic Theory of Rank Tests" Theory Probab. Appl., 1980, v.XXV,
N3, 661-662
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"A Remark on Weak Convergence of Linear Divisible Statistics" Theory Probab.
Appl., 1980, v.XXV, N3, 622-624
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"On $L_1$ -convergence of Statistical Kernel Density Estimates" Sov. Math.
Doklady, 1981, v.258, N5, 1052-1056, with R. Mnatsakanov
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"Martingale Approach to Nonparametric Goodness of Fit Tests" Theory Probab.
Appl., 1981, v.XXVI, N2, 240-258
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"On the book of B.Mandelbrot "Fractals" Theory Probab. Appl., 1981, v.XXVI,
N2, 436
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"Testing of Statistical Hypotheses on Unidentifiable Objects" Theory Probab.
Appl., 1982, v.XXVII, N1, 175-183, with E. Parsadanishvili
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"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
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"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
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"Some Applications of the Theory of Martingales to Statistics" Russian
Math. Surveys, 1982, v.37/6, 215-237
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"Martingale Limit Theorems for Divisible Statistics" Theory Probab. Appl.,
1983, v.XXVIII, N3, 530-549
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"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
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"Functional Limit Theorems for Linear Statistics of Sequential Ranks" Probab.
Theory. Related Fields, 1986, v.73, 585-595, with A. Parjanadze
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"Innovation Fields and the Problem of Testing a Simple Hypothesis in $R^m$"
Sov. Math. Doklady, 1986, v.290, N2, 301-304
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"On Asymptotic Theory of Statistics Based on Sequential Ranks" Theory Probab.
Appl., 1986, v.XXXI, N4, 669-683, with A. Parjanadze
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"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.
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"On Goodness of Fit Tests in $R^m$ for Parametric Hypotheses" Sov. Math.
Doklady, 1987, v.294, N5, 1058-1061, with A. Nikabadze
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"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.
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"An Innovation Approach to Goodness of Fit Tests in $R^m$" Ann. Statist.,
1988, v.16, N4, 1503-1517
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"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
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"Aneuploidy in Human Lymphocytes in Extreme Old Age" Proc. Japan Acad.,
1988, v.64, B, N5, 128-130, with T. Lezava
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"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
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"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
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"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
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"Goodness of Fit Problem and Scanning Innovation Martingales" Ann. Statist.,
1993, v.21, N2, 798-830
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"On Polynomial Distributions with Large Number of Rare Events" Mathemat.Methods
Statistics, 1993, v.2, N2, 240-247, with Z. Tsigroshvili
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"Asymptotic behavior of a number of repeated records" Statist. Probab.
Letters, 1997, v.35, N2, 49-58, with M. Nadareishvili and A. Nikabadze
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"Goodness of fit tests for ``chimeric'' alternatives" Statistica Neerlandica,
1998, v.51, N1, 90-121.
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"Introduction to mathematical demography and insurance mathematics" GSA,
Tbilisi, 2000, with G. Mirzashvili
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"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
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"Towards Innovation Theory of Spatial Brownian Motion under Boundary Conditions",
Georgian Mathemat. J., 2001, v.8, N2, 365-379.
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"Statistical analysis for large number of rare events" revised version
submitted to the J. Roy. Statist. Soc., B. 7, 2001
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"Calculation of non-crossing probabilities for Poisson process and its
corollaries" Adv. Appl. Prob., 2001, v.33, N3, 702-716,
with E. Shinjikashvili
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"On a.s. coverage property of Voronoi tessellation" Adv. Appl. Prob., 2001,
v.33, N4, 756-764 with N.Toronjadze
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"Zipf's Law", Encyclopaedia of Mathematics, Supplement III, Kluwer Academic
Publishers, Dordrecht, 2002, 460-463
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"Martingale transforms goodness of fit tests in regression models",
accepted to the Ann. Statist., 2002, with H.L.Koul
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``The change set problem and local covering numbers", submitted to the
Ann. Statist., 2002, with R.M.Mnatsakanov and N.Toronjadze
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"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
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"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
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"Martingale Transforms Goodness-Of-Fit tests in Regression Models", Ann.Statist., 2004
(in print), with H.L.Koul
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