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Occupation times for spectrally negative Levy processes on the last exit time

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 175 ()

In this paper, adopting the Poisson approach and the perturbation approach for spectrally negative Levy processes (often abbreviated as SNLP), we cons......

Strong orthogonal arrays of strength two-plus based on the Addelman-Kempthorne method

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 175 ()

Based on nonregular orthogonal arrays via the Addelman-Kempthorne method, we propose a novel construction of strong orthogonal arrays of strength 2+. ......

Supports for degenerate stochastic differential equations with jumps and applications

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 177 ()

In the paper, we are concerned with degenerate stochastic differential equations with jumps. We first establish two theorems about supports for the so......

Estimation of all parameters in the reflected Ornstein-Uhlenbeck process from discrete observations

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 174 ()

Assuming that a reflected Ornstein-Uhlenbeck process is observed at discrete time instants, we propose generalized moment estimators to estimate all t......

The rate of complete consistency for recursive probability density estimator under strong mixing samples

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 176 ()

In this paper, we mainly study the recursive density estimators of the probability density function for strong mixing random variables. The rate of co......

Transportation cost inequality for backward stochastic differential equations with mean reflection

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 177 ()

Using the method of Girsanov's transformation, we investigate Talagrand's quadratic transportation cost inequalities for the law of the solution of ba......

Asymptotics for a time-dependent renewal risk model with subexponential main claims and delayed claims

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 177 ()

This paper considers a nonstandard renewal risk model with constant force of interest, in which each main claim induces a delayed claim. Assume that t......

The first passage time on the (reflected) Brownian motion with broken drift hitting a random boundary

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 171 ()

This paper studies the first passage times of a (reflected) Brownian motion with broken drift over a random boundary. The time-dependent Meyer-Tanaka ......

A theoretical and simulation analysis on the power of the frequency domain causality test

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 170 ()

The power of the frequency domain causality test proposed by Breitung and Candelon (2006) is analyzed. We show that the power of the test is closely r......

Determinacy of a distribution with finitely many mass points by finitely many moments

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 176 ()

We consider the determinacy problem for a distribution function F (x), x is an element of R, by mixed data consisting of partial information given on ......

An almost sure central limit theorem for the stochastic heat equation

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 177 ()

Let u(t, x) be the solution to the stochastic heat equation on R+ xR(d) driven by a Gaussian noise that is white in time and has a spatially covarianc......

Quantitative stability estimates for multiscale stochastic dynamical systems

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 178 ()

In this paper, we consider the slow-fast stochastic systems with singular coefficients. Using Zvonkin's transformation and the strong convergence in t......

A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 177 ()

In this paper we will give a probabilistic representation for the heat flow of harmonic map with time-dependent Riemannian metric via a forward-backwa......

Solutions of BSDEs with a kind of non-Lipschitz coefficients driven by G-Brownian motion

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 171 ()

In this paper, we study the following backward stochastic differential equations driven by G-Brownian motion (G-BSDEs in short) Y-t = xi + integral(T)......

Exact convergence rate in the central limit theorem for a branching process in a random environment

期刊: STATISTICS & PROBABILITY LETTERS, 2021; 178 ()

Let {Z(n)} be a supercritical branching process in an independent and identically distributed random environment. As is well known, the behavior of Z(......

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