Some families of increasing planar maps.
Some Invariance Principles for Stochastic Processes and Their Inverse and Supremum Processes.
Some invariant test procedures for detection of structural changes
Regression and scale invariant -test procedures are developed for detection of structural changes in linear regression model. Their limit properties are studied under the null hypothesis.
Some LIL type results on the partial sums and trimmed sums with multidimensional indices.
Some limit properties of random transition probability for second-order nonhomogeneous Markov chains indexed by a tree.
Some limit theorems for -pairwise negative quadrant dependent random variables
The authors first establish the Marcinkiewicz-Zygmund inequalities with exponent () for -pairwise negatively quadrant dependent (-PNQD) random variables. By means of the inequalities, the authors obtain some limit theorems for arrays of rowwise -PNQD random variables, which extend and improve the corresponding results in [Y. Meng and Z. Lin (2009)] and [H. S. Sung (2013)]. It is worthy to point out that the open problem of [H. S. Sung, S. Lisawadi, and A. Volodin (2008)] can be solved easily...
Some limit theorems of intermediate term of a random number of independent random variables
Some local asymptotic laws for the Cauchy process on the line.
Some mean convergence and complete convergence theorems for sequences of -linearly negative quadrant dependent random variables
The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of -linearly negative quadrant dependent random variables (). For a sequence of -linearly negative quadrant dependent random variables and (resp. ), conditions are provided under which in (resp. in ). Moreover, for , conditions are provided under which converges completely to . The current work extends some results of Pyke and Root (1968) and it extends and improves some...
Some new Chacon-Edgar-type inequalities for stochastic processes, and characterizations of Vitali-conditions
Some recent results on the law of the iterated logarithm for Banach space valued random variables
Some remarks on Fourier seminorms
Some remarks on stable sequences of random variables
Some results on convergence rates for probabilities of moderate deviations for sums of random variables.
Some results on the convergence of weighted sums of random elements in separable Banach spaces
Some strong limit theorems for weighted product sums of -mixing sequences of random variables.
Sous-espaces symétriques des espaces d'Orlicz
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices.
Spontaneous clustering in theoretical and some empirical stationary processes*
In a stationary ergodic process, clustering is defined as the tendency of events to appear in series of increased frequency separated by longer breaks. Such behavior, contradicting the theoretical “unbiased behavior” with exponential distribution of the gaps between appearances, is commonly observed in experimental processes and often difficult to explain. In the last section we relate one such empirical example of clustering, in the area of marine technology. In the theoretical part of the paper...