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60F05 Central limit and other weak theorems (58 articles)

• Aimar, Hugo; Gómez, Ivana; Morana, Federico: The dyadic fractional diffusion kernel as a central limit. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 1, pp. 235-255
• Hung, Tran Loc; Kien, Phan Tri; Nhut, Nguyen Tan: On asymptotic behaviors and convergence rates related to weak limiting distributions of geometric random sums. (English). Kybernetika, vol. 55 (2019), issue 6, pp. 961-975
• Hung, Tran Loc; Hau, Tran Ngoc: On the accuracy of approximation of the distribution of negative-binomial random sums by the gamma distribution. (English). Kybernetika, vol. 54 (2018), issue 5, pp. 921-936
• Knobloch, Roman; Mlýnek, Jaroslav; Srb, Radek: The classic differential evolution algorithm and its convergence properties. (English). Applications of Mathematics, vol. 62 (2017), issue 2, pp. 197-208
• Klicnarová, Jana: On weighted U-statistics for stationary random fields. (English). Kybernetika, vol. 53 (2017), issue 2, pp. 220-230
• Ahmadzade, Hamed; Amini, Mohammad; Taheri, Seyed Mahmoud; Bozorgnia, Abolghasem: Maximal inequalities and some convergence theorems for fuzzy random variables. (English). Kybernetika, vol. 52 (2016), issue 2, pp. 307-328
• Heinrich, Lothar: On the strong Brillinger-mixing property of ${\alpha }$-determinantal point processes and some applications. (English). Applications of Mathematics, vol. 61 (2016), issue 4, pp. 443-461
• Beneš, Viktor; Zikmundová, Markéta: Functionals of spatial point processes having a density with respect to the Poisson process. (English). Kybernetika, vol. 50 (2014), issue 6, pp. 896-913
• Kříž, P.; Štěpán, J.: A note on almost sure convergence and convergence in measure. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 1, pp. 29-40
• Prášková, Zuzana; Vaněček, Pavel: On a class of estimators in a multivariate RCA(1) model. (English). Kybernetika, vol. 47 (2011), issue 4, pp. 501-518
• Ferger, Dietmar: On the Argmin-sets of stochastic processes and their distributional convergence in Fell-type-topologies. (English). Kybernetika, vol. 47 (2011), issue 6, pp. 955-968
• Mandel, Jan; Cobb, Loren; Beezley, Jonathan D.: On the convergence of the ensemble Kalman filter. (English). Applications of Mathematics, vol. 56 (2011), issue 6, pp. 533-541
• Knight, Keith: Asymptotics of the regression quantile basic solution under misspecification. (English). Applications of Mathematics, vol. 53 (2008), issue 3, pp. 223-234
• Klicnarová, Jana: Central limit theorem for Hölder processes on $\Bbb R^m$-unit cube. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 83-91
• Wimmer, Gejza; Witkovský, Viktor: Linear comparative calibration with correlated measurements. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 443-452
• Hong, Dug Hun; Kim, Kyung Tae: Weak law of large numbers for i.i.d. fuzzy random variables. (English). Kybernetika, vol. 43 (2007), issue 1, pp. 87-96
• Vaněček, Pavel: Rate of convergence for a class of RCA estimators. (English). Kybernetika, vol. 42 (2006), issue 6, pp. 699-709
• Kačinskaitė, R.; Laurinčikas, A.: Discrete limit theorems for the Laplace transform of the Riemann zeta-function. (English). Acta Mathematica Universitatis Ostraviensis, vol. 13 (2005), issue 1, pp. 19-27
• Pawlas, Zbyněk: Central limit theorem for random measures generated by stationary processes of compact sets. (English). Kybernetika, vol. 39 (2003), issue 6, pp. [719]-729
• Urbaníková, Marta: Limit theorems for $B$-lattice valued random variables. (English). Mathematica Slovaca, vol. 52 (2002), issue 1, pp. 99-108
• Arevalillo, Jorge M.: A second order approximation for the inverse of the distribution function of the sample mean. (English). Kybernetika, vol. 37 (2001), issue 1, pp. [91]-102
• Hušková, Marie: Some invariant test procedures for detection of structural changes. (English). Kybernetika, vol. 36 (2000), issue 4, pp. [401]-414
• Berlinet, Alain: How to get Central Limit Theorems for global errors of estimates. (English). Applications of Mathematics, vol. 44 (1999), issue 2, pp. 81-96
• Sacchetti, Dario: Inverse distributions: the logarithmic case. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 4, pp. 785-795
• Lachout, Petr: Periodic transformations of the sample average reciprocal value. (English). Kybernetika, vol. 32 (1996), issue 5, pp. 511-520
• Lachout, Petr: Weak convergence in Hoffmann-Jorgensen sense. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 37 (1996), issue 1, pp. 3-10
• Volný, Dalibor: Constructions of smooth and analytic cocycles over irrational circle rotations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 4, pp. 745-764
• Sen, Pranab Kumar: The Hájek asymptotics for finite population sampling and their ramifications. (English). Kybernetika, vol. 31 (1995), issue 3, pp. 251-268
• Janžura, Martin: The central limit theorem for random fields. (English). Kybernetika, vol. 30 (1994), issue 1, pp. 77-86
• Kalina, Martin: Expected values in the alternative set theory and their applications to some limit theorems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 169-179
• Mohapl, Jaroslav: Mild law of large numbers and its consequences. (English). Mathematica Slovaca, vol. 43 (1993), issue 3, pp. 277-292
• Krajka, A.; Rychlik, Z.: Necessary and sufficient conditions for weak convergence of random sums of independent random variables. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 465-482
• Lachout, Petr: Linear rescaling of the stochastic process. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 277-289
• Lešanovský, Antonín: Sur la norme de Fourier. IV. (French) [On the Fourier norm. IV.]. Časopis pro pěstování matematiky, vol. 115 (1990), issue 1, pp. 81-84
• Prášková, Zuzana: A note on Sampford-Durbin sampling. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 367-372
• Barakat, Haroon Mohamed; El-Shandidy, Mouhamed A.: Some limit theorems of intermediate term of a random number of independent random variables. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 323-336
• Volný, Dalibor: A central limit theorem for non stationary mixing processes. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 405-407
• Volný, Dalibor: On non-ergodic versions of limit theorems. (English). Aplikace matematiky, vol. 34 (1989), issue 5, pp. 351-363
• Volný, Dalibor: A nonergodic version of Gordin's CLT for integrable stationary processes. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 413-419
• Basu, Adhir Kumar: On the rate of approximation in the random sum CLT for dependent variables. (English). Aplikace matematiky, vol. 32 (1987), issue 3, pp. 169-176
• Lachout, Petr: A martingale central limit theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 2, pp. 371-375
• Volný, Dalibor: The central limit problem for strictly stationary sequences [Abstract of thesis]. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 840-842
• Volný, Dalibor: Determinism and martingale decompositions of strictly stationary random processes. (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the 13th Winter School on Abstract Analysis. Section of Analysis. Circolo Matematico di Palermo, Palermo, 1985. pp. [185]-192
• Lachout, Petr: A note on the martingale central limit theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 637-640
• Volný, Dalibor: On the central limit problem for processes of zero entropy. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 2, pp. 253-258
• Vorlíčková, Dana: Exact slopes of the rank statistics for the two-sample case under discrete distributions. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 426-431
• Kunderová, Pavla: On limit properties of the reward from a Markov replacement process. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 20 (1981), issue 1, pp. 133-146
• Perez, Albert: On Shannon-McMillan's limit theorem for pairs of stationary random processes. (English). Kybernetika, vol. 16 (1980), issue 4, pp. (301)-314
• Hušková, Marie: The Berry-Esseen theorem for rank statistics. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 3, pp. 399-415
• Dvurečenskij, Anatolij: Laws of large numbers and the central limit theorems on a logic. (English). Mathematica Slovaca, vol. 29 (1979), issue 4, pp. 397-410
• Nguyen, van Huu: A limit theorem for functionals of a Poisson process. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 3, pp. 547-564
• Kuklíková, Daniela: Approximation of bivariate Markov chains by one-dimensional diffusion processes. (English). Aplikace matematiky, vol. 23 (1978), issue 4, pp. 267-279
• Štěpán, Josef: Convergence of conditional expectations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 1, pp. 161-166
• Prášková, Zuzana: Asymptotic expansion and a local limit theorem for the signed Wilcoxon statistic. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 2, pp. 335-344
• Lenárt, Cyril: On an Estimate of the Remainder in the Central Limit Theorem. (English). Matematický časopis, vol. 25 (1975), issue 4, pp. 319-331
• Víšek, Jan Ámos: On properties of binary random numbers. (English). Aplikace matematiky, vol. 19 (1974), issue 6, pp. 375-385
• Mandl, Petr: A connection between controlled Markov chains and martingales. (English). Kybernetika, vol. 9 (1973), issue 4, pp. (237)-241
• Kudela, Fr.: La démonstration du second théorème limite du calcul de probabilité par la méthode de Cauchy-Lévy reposant sur la fonction caractéristique. (French) [The proof of the second limit theorem of probability theory by the Cauchy-Levy method based on the characteristic function]. Aktuárské vědy, vol. 6 (1936), issue 4, pp. 155-163