The expected number of zeros of a random system of -adic polynomials.
The expected variation of random bounded integer sequences of finite length.
The extreme gap in the multivariate Poisson process
The failure rate in reliability: Approximations and bounds.
The failure rate in reliability. Numerical treatment.
The falling apart of the tagged fragment and the asymptotic disintegration of the brownian height fragmentation
We present a further analysis of the fragmentation at heights of the normalized brownian excursion. Specifically we study a representation for the mass of a tagged fragment in terms of a Doob transformation of the 1/2-stable subordinator and use it to study its jumps; this accounts for a description of how a typical fragment falls apart. These results carry over to the height fragmentation of the stable tree. Additionally, the sizes of the fragments in the brownian height fragmentation when it is...
The fBm Itô's formula through analytic continuation.
The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion.
The fermion number processes as a functional central limit of quantum hamiltonian models
The Feynman-Kac formula for a system of parabolic equations
The first exit of almost strongly recurrent semi-Markov processes
Let , n ∈ N, be a sequence of homogeneous semi-Markov processes (HSMP) on a countable set K, all with the same initial p.d. concentrated on a non-empty proper subset J. The subrenewal kernels which are restrictions of the corresponding renewal kernels on K×K to J×J are assumed to be suitably convergent to a renewal kernel P (on J×J). The HSMP on J corresponding to P is assumed to be strongly recurrent. Let [; j ∈ J] be the stationary p.d. of the embedded Markov chain. In terms of the averaged...
The first passage problem for generalized Ornstein-Uhlenbeck processes with non-positive jumps
The foundations of probability with black swans.
The fractional mixed fractional brownian motion and fractional brownian sheet
We introduce the fractional mixed fractional Brownian motion and fractional Brownian sheet, and investigate the small ball behavior of its sup-norm statistic. Then, we state general conditions and characterize the sufficiency part of the lower classes of some statistics of the above process by an integral test. Finally, when we consider the sup-norm statistic, the necessity part is given by a second integral test.
The Fréchet transform.
The functional central limit theorem for strongly mixing processes
The functional moderate deviations for Harris recurrent Markov chains and applications
The fuzzy hyperbolic inequality index of fuzzy random variables in finite populations.
This paper presents an approach to the problem of quantifying the inequality of a finite population with respect to a (social, economical, etc.) fuzzy-valued attribute. For this purpose, the fuzzy hyperbolic inequality index is introduced, and some properties extending the basic ones for real-valued attributes are examined.
The fuzzy metric space based on fuzzy measure
In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
The gamma-uniform distribution and its applications
Up to present for modelling and analyzing of random phenomenons, some statistical distributions are proposed. This paper considers a new general class of distributions, generated from the logit of the gamma random variable. A special case of this family is the Gamma-Uniform distribution. We derive expressions for the four moments, variance, skewness, kurtosis, Shannon and Rényi entropy of this distribution. We also discuss the asymptotic distribution of the extreme order statistics, simulation issues,...