On an asymptotic distribution connected with a loss queueing system
On an Estimate of the Remainder in the Central Limit Theorem
On an estimation problem for type I censored spatial Poisson processes
In this paper we consider the problem of estimating the intensity of a spatial homogeneous Poisson process if a part of the observations (quadrat counts) is censored. The actual problem has occurred during a court case when one of the authors was a referee for the defense.
On an exponential inequality and a strong law of large numbers for monotone measures
An exponential inequality for Choquet expectation is discussed. We also obtain a strong law of large numbers based on Choquet expectation. The main results of this paper improve some previous results obtained by many researchers.
On an Extendability Problem for Measures.
On an extension of jump-type symmetric Dirichlet forms.
On an identity in law obtained by A. Földes and P. Révész
On an inequality and the related characterization of the gamma distribution
In this paper we derive conditions upon the nonnegative random variable under which the inequality holds for a fixed nonnegative constant and for any absolutely continuous function . Taking into account the characterization of a Gamma distribution we consider the functional and establishing some of its properties we show that and that iff the random variable has a Gamma distribution.
On an inequality of P. Erdös, J. Neveu, A. Rényi and S. Zubrzycki
On an interval-partitioning scheme
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four different procedures to randomly partition the interval [0,1] into m intervals. The present paper presents some new theoretical results on one of the partitioning schemes. That scheme is called Random Interval (RI); it starts with a first random point in [0,1] and places the kth point at random in a subinterval randomly picked from the current k subintervals (1
On an invariance principle for phase separation lines
On an Invariant Borel Measure in Hilbert Space
An example of a nonzero σ-finite Borel measure μ with everywhere dense linear manifold of admissible (in the sense of invariance) translation vectors is constructed in the Hilbert space ℓ₂ such that μ and any shift of μ by a vector are neither equivalent nor orthogonal. This extends a result established in [7].
On an queueing system.
On an Morgenstern-Type Bivariate Gamma Distribution.
On an optimum principle for partially observed controlled jump Markovian processes
On an Ordering for Probability Measures and a Corresponding Integral Representation.
On an orthonormal polynomial basis in the space C[-1,1]
We show that in the space C[-1,1] there exists an orthogonal algebraic polynomial basis with optimal growth of degrees of the polynomials.
On an oscillating random walk
On analytic continuation of summability transforms.
On analytical properties of generalized convolutions
The paper is, for the most part, devoted to a survey of the analytical properties of generalized convolution algebras and their realizations. This issue appears to be the state of the art until now because intensive research on the generalized convolution and the related models still persists.