Theory of Probability and its Applications http://scitation.aip.org/ Theory of Probability and its Applications News of Scientific Life http://link.aip.org/link/?TPR/55/730/1&agg=rss V. A. Vatutin<br/> Details are given about the Bernoulli Society for Mathematical Statistics and Probability, including the Society's history, organization, member benefits, and past and present activities. Reports are given on the International Conference Modern Stochastics: Theory and Applications II held September ... [Theory Probab. Appl. 55, 730 (2011)] published Thu Nov 10, 2011. Large Deviations of Shepp Statistics http://link.aip.org/link/?TPR/55/722/1&agg=rss A. V. Shklyaev<br/> For random walk $S_n$ with independent identically distributed steps $X_i$ with $MX\ge 0$, satisfying the right-hand Cramer condition, asymptotical behavior of the Shepp statistics in the case of it large deviations is studied: $\bar\rho_{m,n}:=\max_{k\le m}\max_{i\le n} (S_{k+i}-S_k)\ge\theta n$, ... [Theory Probab. Appl. 55, 722 (2011)] published Thu Nov 10, 2011. Limit Distribution of the Hamming Distance from the Random Boolean Function to the Set of Affine Functions http://link.aip.org/link/?TPR/55/717/1&agg=rss A. A. Serov<br/> The limit theorem for a Hamming distance from a random Boolean function of $n$ Boolean variables with uniform distribution to the set of affine functions is proved. Results are compared to a similar theorem proved by Ryazanov for the distance to the set of linear functions. ... [Theory Probab. Appl. 55, 717 (2011)] published Thu Nov 10, 2011. Conditional Entropy for Infinite-Dimensional Quantum Systems http://link.aip.org/link/?TPR/55/709/1&agg=rss A. A. Kuznetsova<br/> In this paper a general definition of conditional entropy for infinite-dimensional quantum systems is given based on the recent work of Holevo and Shirokov [Problems Inform. Transmission, 46 (2010), pp. 201218] devoted to quantum mutual and coherent information in the infinite-dimensional case. Pro ... [Theory Probab. Appl. 55, 709 (2011)] published Thu Nov 10, 2011. On Estimates of the Convergence Rate in the Strong Law of Large Numbers for Stationary Sequences (in Some Classes $S_w$ and $R_\Phi$) http://link.aip.org/link/?TPR/55/699/1&agg=rss V. F. Gaposhkin<br/> In the paper we obtain new estimates for the convergence rate in the strong law of large numbers for classes of stationary sequences satisfying certain restrictions on spectral measure or correlation function. ... [Theory Probab. Appl. 55, 699 (2011)] published Thu Nov 10, 2011. Factorization Property of Generalized $s$-Selfdecomposable Measures and Class $L^f$ Distributions http://link.aip.org/link/?TPR/55/692/1&agg=rss A. Czyzewska-Jankowska and Z. J. Jurek<br/> The classes of selfdecomposable and $s$-selfdecomposable probability measures are known to have representations as the distributions of random integrals. In this paper we provide such random integral representations for the class of generalized $s$-selfdecomposable and the class of selfdecomposable ... [Theory Probab. Appl. 55, 692 (2011)] published Thu Nov 10, 2011. On the Scaling Property in Fluctuation Theory for Stable Levy Processes http://link.aip.org/link/?TPR/55/683/1&agg=rss F. Cordero<br/> We find an expression for the joint Laplace transform of the law of $(T_{[x,+\infty[},X_{T_{[x,+\infty[}})$ for a Levy process $X$, where $T_{[x,+\infty[}$ is the first hitting time of $[x,+\infty[$ by $X$. When $X$ is an $\alpha$-stable Levy process, with $1<\alpha<2$, we show how to recover from ... [Theory Probab. Appl. 55, 683 (2011)] published Thu Nov 10, 2011. Criteria of Exponential Growth for the Numbers of Particles in Models of Branching Random Walks http://link.aip.org/link/?TPR/55/661/1&agg=rss E. B. Yarovaya<br/> We consider two models of continuous-time branching random walk on ${\bf Z}^d$ with one source of branching. The first model assumes that the random walk is symmetric over the entire lattice. In the second model, an additional parameter is introduced for artificial strengthening of the degree of do ... [Theory Probab. Appl. 55, 661 (2011)] published Thu Nov 10, 2011. Polling Systems and Multitype Branching Processes in Random Environment with Final Product http://link.aip.org/link/?TPR/55/631/1&agg=rss V. A. Vatutin<br/> Using methods of multitype branching processes in random environment counted by random characteristics, we study the tail distribution of busy periods and some other characteristics of the branching-type polling systems in which the service disciplines, input parameters, and service time distributi ... [Theory Probab. Appl. 55, 631 (2011)] published Thu Nov 10, 2011. Dual Characterization of the Value Function in the Robust Utility Maximization Problem http://link.aip.org/link/?TPR/55/611/1&agg=rss A. A. Gushchin<br/> We consider the problem of maximizing the robust utility of terminal wealth in the framework of a market characterized only by the set of terminal wealths corresponding to all admissible strategies of an investor. Attention is mainly paid to the case where the utility function is finite on a half-l ... [Theory Probab. Appl. 55, 611 (2011)] published Thu Nov 10, 2011. Sharp Large Deviations for the Fractional OrnsteinUhlenbeck Process http://link.aip.org/link/?TPR/55/575/1&agg=rss B. Bercu, L. Coutin, and N. Savy<br/> We investigate the sharp large deviation properties of the energy and the maximum likelihood estimator for the OrnsteinUhlenbeck process driven by a fractional Brownian motion with Hurst index greater than one half. ... [Theory Probab. Appl. 55, 575 (2011)] published Thu Nov 10, 2011. Invariance Principle for a Critical GaltonWatson Process Attaining a High Level http://link.aip.org/link/?TPR/55/559/1&agg=rss V. I. Afanasyev<br/> An invariance principle is established for a critical GaltonWatson process attaining a high level. The limiting process is the limit, as $\varepsilon \to 0$ of the continuous Feller branching process given it starts from the level $\varepsilon>0$ and attains level $1$. An iterative procedure is out ... [Theory Probab. Appl. 55, 559 (2011)] published Thu Nov 10, 2011.