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A stochastic simulation is a simulation of a system that has variables that can change stochastically (randomly) with individual probabilities. [1]Realizations of these random variables are generated and inserted into a model of the system.
A random seed (or seed state, or just seed) is a number (or vector) used to initialize a pseudorandom number generator.. A pseudorandom number generator's number sequence is completely determined by the seed: thus, if a pseudorandom number generator is later reinitialized with the same seed, it will produce the same sequence of numbers.
MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
The company sold its first order, 10 copies of MATLAB, for $500 to the Massachusetts Institute of Technology (MIT) in February 1985. [8] A few years later, Little and the company moved to Massachusetts. [6] [9] There, Little hired Jeanne O'Keefe, an experienced computer executive, to help formalize the business. [3]
The probability density, cumulative distribution, and inverse cumulative distribution of any function of one or more independent or correlated normal variables can be computed with the numerical method of ray-tracing [41] (Matlab code). In the following sections we look at some special cases.
GNU Octave is a scientific programming language for scientific computing and numerical computation.Octave helps in solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with MATLAB.
In probability theory and statistics, the gamma distribution is a versatile two-parameter family of continuous probability distributions. [1] The exponential distribution, Erlang distribution, and chi-squared distribution are special cases of the gamma distribution. [2]
Notation (,)Parameters {,,, …} – number of trials[,] – success probability for each trial= Support {,, …,} – number of successesPMF ()CDF ...