Since its inception in 1974, the level crossing approach for analyzing a large class of stochastic models has become increasingly popular among researchers. This volume traces the evolution of level crossing theory for obtaining probability distributions of state variables and demonstrates solution methods in a variety of stochastic models including: queues, inventories, dams, renewal models, counter models, pharmacokinetics, and the natural sciences. Results for both steady-state and transient distributions are given, and numerous examples help the reader apply the method to solve problems f
The application of the level-crossing theory of multidimensional random processes to the evaluation ...
In this paper we present some large deviation results for compound Markov renewal processes. We star...
This chapter deals with stochastic models for structured populations whose dynamics depend crucially...
The purpose of this article is to provide a very brief overview of the level crossing method in stoc...
In crossing theory for stochastic processes the distribution of quantities such as distances between...
Abstract. Formulas for level crossing probabilities, ladder height distributions and related charact...
The paper studies the behavior of an (1 + 3)th-dimensional, delayed renew-al process with dependent ...
AbstractLet Y1, Y2, … be a stochastic process and M a positive real number. Define the level crossin...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
International audienceThis chapter discusses a particular piecewise‐deterministic Markov process (PD...
International audienceThe evolution of the state of a single species/single substrate chemostat is u...
We review the generalized Rice formula approachto deriving long-run distributions of a variety of ch...
In this paper we present asymptotic estimates of level crossing probabilities from a Bayesian point ...
We present a functional limit theorem for the empirical level-crossing behaviour of a stationary Gau...
This monograph provides a summary of the basic theory of branching processes for single-type and mul...
The application of the level-crossing theory of multidimensional random processes to the evaluation ...
In this paper we present some large deviation results for compound Markov renewal processes. We star...
This chapter deals with stochastic models for structured populations whose dynamics depend crucially...
The purpose of this article is to provide a very brief overview of the level crossing method in stoc...
In crossing theory for stochastic processes the distribution of quantities such as distances between...
Abstract. Formulas for level crossing probabilities, ladder height distributions and related charact...
The paper studies the behavior of an (1 + 3)th-dimensional, delayed renew-al process with dependent ...
AbstractLet Y1, Y2, … be a stochastic process and M a positive real number. Define the level crossin...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
International audienceThis chapter discusses a particular piecewise‐deterministic Markov process (PD...
International audienceThe evolution of the state of a single species/single substrate chemostat is u...
We review the generalized Rice formula approachto deriving long-run distributions of a variety of ch...
In this paper we present asymptotic estimates of level crossing probabilities from a Bayesian point ...
We present a functional limit theorem for the empirical level-crossing behaviour of a stationary Gau...
This monograph provides a summary of the basic theory of branching processes for single-type and mul...
The application of the level-crossing theory of multidimensional random processes to the evaluation ...
In this paper we present some large deviation results for compound Markov renewal processes. We star...
This chapter deals with stochastic models for structured populations whose dynamics depend crucially...