List of papers

of Bero Roos

(Send me an email for pre- or reprints. There may be essential changes between preprint and published paper. Preprints often contain less misprints in comparison with the published papers!)

[24]	Closeness of convolutions of probability measures. Bernoulli, accepted. Preprint.
[23]	Poisson type approximations for the Markov binomial distribution. (Jointly with Vydas Čekanavičius). Stochastic Processes and their Applications, 119(1), 190−207, 2009. Preprint.
[22]	Maximal probabilities of convolution powers of discrete uniform distributions. (Jointly with Lutz Mattner). Statistics and Probability Letters, 78(17) 2992−2996, 2008. Preprint.
[21]	A shorter proof of Kanter's Bessel function concentration bound. (Jointly with Lutz Mattner). Probability Theory and Related Fields,139(1-2), 191−205, 2007. Preprint. The original publication is available at springerlink.
[20]	Binomial approximation to the Markov binomial distribution. (Jointly with Vydas Čekanavičius). Acta Applicandae Mathematicae, 96(1-3), 137−146, 2007. Preprint. The original publication is available at springerlink.
[19]	On variational bounds in the compound Poisson approximation of the individual risk model. Insurance: Mathematics and Economics, 40(3), 403−414, 2007. Preprint.
[18]	An expansion in the exponent for compound binomial approximations. (Jointly with Vydas Čekanavičius). Lietuvos Matematikos Rinkinys, 46(1), 67−110, 2006. (See also in: Lithuanian Mathematical Journal, 46(1), 54−91, 2006). Preprint.
[17]	Compound binomial approximations. (Jointly with Vydas Čekanavičius). Annals of the Institute of Statistical Mathematics, 58(1), 187−210, 2006. Preprint. The original publication is available at springerlink.
[16]	On Hipp's compound Poisson approximations via concentration functions. Bernoulli, 11(3), 533−557, 2005. Preprint.
[15]	Two-parametric compound binomial approximations. (Jointly with Vydas Čekanavičius). Lietuvos Matematikos Rinkinys, 44(4), 443−466, 2004. (See also in: Lithuanian Mathematical Journal, 44(4), 354−373, 2004). Preprint.
[14]	Poisson approximation via the convolution with Kornya-Presman signed measures. Teoriya Veroyatnostei i ee Primeneniya, 48(3), 628−632, 2003. (See also in: Theory of Probability and its Applications, 48(3), 555−560, 2003). Preprint.
[13]	On error bounds for the approximation of random sums. (Jointly with Dietmar Pfeifer). Presented at the XXXIV ASTIN Colloquium 2003 of the International Actuarial Association, 24−27 August 2003, Berlin, Germany. Preprint.
[12]	Kerstan's method for compound Poisson approximation. The Annals of Probability, 31(4), 1754−1771, 2003. Preprint. ('Best Paper Award', 2003 Annual Conference of the German Mathematical Society (DMV)).
[11]	Poisson approximation of multivariate Poisson mixtures. Journal of Applied Probability, 40(2), 376−390, 2003.
[10]	On the distance between the distributions of random sums. (Jointly with Dietmar Pfeifer). Journal of Applied Probability, 40(1), 87−106, 2003.
[9]	Improvements in the Poisson approximation of mixed Poisson distributions. Journal of Statistical Planning and Inference, 113(2), 467−483, 2003. Preprint.
[8]	Kerstan's method in the multivariate Poisson approximation: an expansion in the exponent. Teoriya Veroyatnostei i ee Primeneniya, 47(2), 397−402, 2002. (See also in: Theory of Probability and its Applications, 47(2), 358−363, 2002). Preprint.
[7]	Multinomial and Krawtchouk approximations to the generalized multinomial distribution. Teoriya Veroyatnostei i ee Primeneniya, 46(1), 117−133, 2001. (See also in: Theory of Probability and its Applications, 46(1), 103−117, 2001). Preprint.
[6]	Sharp constants in the Poisson approximation. Statistics and Probability Letters, 52(2), 155−168, 2001. Preprint.
[5]	Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion. Teoriya Veroyatnostei i ee Primeneniya, 45(2), 328−344, 2000. (See also in: Theory of Probability and its Applications, 45(2), 258−272, 2000). Preprint.
[4]	Asymptotics and sharp bounds in the Poisson approximation to the Poisson-binomial distribution. Bernoulli, 5(6), 1021−1034, 1999.
[3]	On the rate of multivariate Poisson convergence. Journal of Multivariate Analysis, 69(1), 120−134, 1999.
[2]	Metric multivariate Poisson approximation of the generalized multinomial distribution. Teoriya Veroyatnostei i ee Primeneniya, 43(2), 404−413, 1998. (See also in: Theory of Probability and its Applications, 43(2), 306−315, 1998). Preprint.
[1]	A semigroup approach to Poisson approximation with respect to the point metric. Statistics and Probability Letters, 24(4), 305−314, 1995.
[0]	Metrische Poisson-Approximation (Metric Poisson Approximation). Doctoral thesis.(In German). Department of Mathematics, University of Oldenburg, 186 p., 1996.
[00]	Contributions to the approximation of some important distributions in the risk theory. Habilitation thesis. Department of Mathematics, University of Hamburg, 2002. (Contains the articles 2, 3, 5, 7−12, see above).

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