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,...
View ArticleAll 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
View ArticleDemography 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...
View ArticleReliability 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...
View ArticleExplicit 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...
View ArticleMarkov 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,...
View ArticleStochastic 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...
View ArticleMonte 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...
View ArticleIntroduction 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...
View ArticleRumors: 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.
View ArticleProbability 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...
View ArticleRanLip - 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...
View ArticleStopping 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...
View ArticleMaple 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...
View ArticleDetermine Integrals by Monte-Carlo method
We build two procedures to determine approximately single variable and two variable integrals by Monte-Carlo method.
View ArticleGeneration 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...
View ArticleCopula 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...
View ArticleGreat 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...
View ArticleJump-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...
View ArticlePod-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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