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[2] [3] The PERT distribution is widely used in risk analysis [4] to represent the uncertainty of the value of some quantity where one is relying on subjective estimates, because the three parameters defining the distribution are intuitive to the estimator. The PERT distribution is featured in most simulation software tools.
The PERT distribution is a special case of the four-parameter beta distribution. The uniform distribution or rectangular distribution on [a,b], where all points in a finite interval are equally likely, is a special case of the four-parameter Beta distribution.
In Program Evaluation and Review Techniques the three values are used to fit a PERT distribution for Monte Carlo simulations. The triangular distribution is also commonly used. It differs from the double-triangular by its simple triangular shape and by the property that the mode does not have to coincide with the median.
PERT network chart for a seven-month project with five milestones (10 through 50) and six activities (A through F). The program evaluation and review technique ( PERT ) is a statistical tool used in project management , which was designed to analyze and represent the tasks involved in completing a given project .
A discrete probability distribution is applicable to the scenarios where the set of possible outcomes is discrete (e.g. a coin toss, a roll of a die) and the probabilities are encoded by a discrete list of the probabilities of the outcomes; in this case the discrete probability distribution is known as probability mass function.
Beta distribution is a combination of probability theory and statistics, most commonly used in project management for time allocation and to analyse random variables. Critical path drag is a project management metric used to schedule analysis and compression in the critical path method of scheduling.
Pareto distribution; Pearson distribution; PERT distribution; Phase-type distribution; Poly-Weibull distribution; Polynomial Wigner–Ville distribution;
In statistics, the 68–95–99.7 rule, also known as the empirical rule, and sometimes abbreviated 3sr or 3 σ, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: approximately 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean ...