# Stochastic Process Research Papers

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Full article In this paper, we investigate the reliability and stochastic properties of an n-component network under the assumption that the components of the network fail according to a counting process called a geometric counting process (GCP). Some mixture representations for the network reliability are obtained in terms of signature of the network and the reliability function of the arrival times of the GCP.

Familiar examples of time series include stock market and exchange rate fluctuations, signals such as speech, audio and video; medical data such as a patient's EKG, EEG, blood pressure or temperature; and random movement such as Brownian motion or random walks.

Examples of random fields include static images, random topographies (landscapes), or composition variations of an inhomogeneous material.

In the mathematics of probability, a stochastic process is a random function.

In practical applications, the domain over which the function is defined is a time interval (time series) or a region of space (random field).

## Comments Stochastic Process Research Papers

• ###### PDF Stochastic Processes Second Edition.

Stochastic Processes Second Edition. Article PDF Available in Journal of the Operational Research Society 476836 June 1996 with 10,631 Reads DOI 10.2307/3010294…

• ###### Stochastic Processes and their Applications - Journal - Elsevier

Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests.…

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Time series is covariance stationary if EX t = µ, I.1 EX t X t = σ 2, I.2 CovX t X t+τ = γτ. I.3 • The purpose of the analysis is to predict future values of this stochastic process. An important aspect is the correlation between the time series data at different time scales.…

• ###### Stochastic Differential Equations Research Papers - Academia.edu

Stochastic Process, Nonparametric Statistics, Stochastic processes, Stochastic Differential Equations Estimating reducible stochastic differential equations by conversion to a least-squares problem Stochastic differential equations SDEs are increasingly used in longitudinal data analysis, compartmental models, growth modelling, and other applications in a number of disciplines.…

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Journal description. The journal also publishes papers on stochastic processes dealing with allied questions of inference, optimization, control and reliability. Every effort is made to promote innovation, vitality, and communication between disciplines.…

• ###### Stochastic Processes and their Applications

Research article Full text access Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling Dawid Czapla.…