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Channel: Stochastic Modeling: New Applications
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Pod-specific demography of killer-whales

This paper is an analysis of a stage-based model of the dynamics of killer whales, a modification of the Leslie model. In this case, the assumption is that the stage of an organism (yearling, juvenile,...

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All terminal reliability polynomial for a graph G with probabilty of edge...

Routine for the all terminal reliability polynomial for a graph G with probability of edge failure

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Demography of the vegetable ivory palm Pytelephas seemanii in Colombia, and...

This paper is an analysis of a stage-based model of the dynamics of a palm tree species, using, a modification of the Leslie model. In this case, the assumption is that the stage of an organism (size...

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Reliability of a power system: MTBF & availability

This worksheet demonstrates the use of Maple for computing system reliability and availability for a fault tolerant power system. It illustrates how symbolic expressions for these quantities can be...

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Explicit solutions of stochastic differential equations (SDEs)

This file contains instructions and examples which demonstrate the package "stochastic". The package contains commands which can be used to find explicit solutions of Stochastic Differential Equations...

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Markov processes

We will construct transition matrices and Markov chains, automate the transition process, solve for equilibrium vectors, and see what happens visually as an initial vector transitions to new states,...

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Stochastic Model of Filling a Box with Spheres

The task is to determine how many balls will fit into a given size box during the random filling of the box. This Maple document first calculates estimates to establish a lower and upper bound on the...

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Monte Carlo Simulation of the Brownian Bridge

This is a program that performs a monte carlo approximation of a Brownian path. This is actually termed a Brownian bridge. It functions along the conventionally accepted algorithm (available in much...

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Introduction to Fuzzy Sets on a Real Domain

The RealDomain subpackage of FuzzySets allows the user to construct and work with fuzzy subsets of the real line. The membership function of a fuzzy subset of the real line is represented by a...

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Rumors: Visualization and Analysis of a Stochastic Process

Simulation, visualization and analysis of a stochastic process and quantities associated with the process. Analysis of Markov processes using "first-step analysis" and limiting arguments.

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Probability Games - Parrondo's Paradox

This Worksheet contains a detailed explanation and analysis of Parrondo's paradox, which states that two losing games can couple into a winning one. It also includes an interactive simulation of the...

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RanLip - black-box non-uniform random variate generator

RanLip is a toolbox for generation of nonuniform random variates from arbitrary Lipschitz-continuous distributions in Maple environment. It uses acceptance/ rejection approach, which is based on...

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Stopping Patterns in random Sequences

Theory for one and two stopping patterns. Programs for theoretical values and simulation. Winning ways for a game with two stopping patterns, including graphs and strategy. Asymptotic values of...

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Maple for Commodity Finance

In this application we show how Maple can handle financial options models that have become popular in commodity finance. The financial trading of commodities has dramatically increased over past years...

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Determine Integrals by Monte-Carlo method

We build two procedures to determine approximately single variable and two variable integrals by Monte-Carlo method.

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Generation of correlated random numbers

This application is an extension of an earlier document on multivariate distributions and demonstrates how Maple can be used to generate random samples from such distribution. In a narrow sense, it...

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Copula function in multivariate dependency analysis

Copula is a constructor function for multivariate distribution from univariate marginals. It is a method to link univariate samples, not necessarily from identical distributions, into joint...

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Great Expectations

An investor is offered what appears to be a great investment opportunity.  Unfortunately it doesn't turn out to be so great in the long run.  This interactive Maple document explores the situation...

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Jump-diffusion stochastic processes with Maple

The application presents and definition, creation and handling of jump-diffusion processes. In general, jump-diffusion is an extension to the theory of stochastic processes where the underlying...

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Pod-specific demography of killer-whales

This paper is an analysis of a stage-based model of the dynamics of killer whales, a modification of the Leslie model. In this case, the assumption is that the stage of an organism (yearling, juvenile,...

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