Bayesian statistics and Monte Carlo methods
The Bayesian approach allows an intuitive way to derive the methods of statistics. Probability is defined as a measure of the plausibility of statements or propositions. Three rules are sufficient to obtain the laws of probability.
Koch K. R.
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A comparative study between Classical Numerical Methods and Monte Carlo Methods [PDF]
Recently, there is a great interest in the methods of Monte Carlo used for the treatment of different technical and scientific issues. This research deals with using the Monte Carlo methods in numerical integration by making a general comparison between
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An LPC pole processing method for enhancing the identification of dominant spectral features
This paper proposes a new time‐resolved spectral analysis method based on a modification to the linear predictive coding (LPC) method for enhancing the identification of the dominant frequencies of a signal.
Jin Xu, Mark Davis, Ruairí de Fréin
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Distributed tracking with sequential Monte Carlo methods for manoeuvrable sensors [PDF]
Nonlinear distributed tracking for a single target is addressed in this paper. This problem consists of tracking a target of interest while moving the sensors to `best' positions according to an critera appropriate for the problem.
Canagarajah, CN, Jaward, MH, Bull, DR
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Convergence of Monte Carlo methods for neutron noise [PDF]
The neutron noise δφ describes the small variations of the neutron flux around the stationary state φ0, and is typically due to vibrations or oscillations of the core components, induced by fluid-structure interactions and other generally unwanted ...
Fauvel Axel +3 more
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Monte Carlo filtering of piecewise deterministic processes [PDF]
We present efficient Monte Carlo algorithms for performing Bayesian inference in a broad class of models: those in which the distributions of interest may be represented by time marginals of continuous-time jump processes conditional on a realisation of
Godsill, S +5 more
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Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics [PDF]
We show how to extend a recently proposed multi-level Monte Carlo approach to the continuous time Markov chain setting, thereby greatly lowering the computational complexity needed to compute expected values of functions of the state of the system to a ...
Anderson, David +3 more
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Monte Carlo Methods for the Shapley–Shubik Power Index
This paper deals with the problem of calculating the Shapley–Shubik power index in weighted majority games. We propose an efficient Monte Carlo algorithm based on an implicit hierarchical structure of permutations of players.
Yuto Ushioda +2 more
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Quasi-Monte Carlo simulation of Brownian sheet with application to option pricing
Monte Carlo and quasi-Monte Carlo methods are widely used in scientific studies. As quasi-Monte Carlo simulations have advantage over ordinary Monte Carlo methods, this paper proposes a new quasi-Monte Carlo method to simulate Brownian sheet via its ...
Xinyu Song, Yazhen Wang
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GENERALIZED SENSITIVITY ANALYSIS CAPABILITY WITH THE DIFFERENTIAL OPERATOR METHOD IN RMC CODE [PDF]
Sensitivity analysis is an important way for us to know how the input parameters will affect the output of a system. Therefore, recently, there is an increased interest in developing sensitivity analysis methods in continuous-energy Monte Carlo Code due ...
Shi Guanlin +3 more
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