The most important applications of the exponential distribution are situations where the Poisson process is applied. the Poisson process allows us to use the discrete distribution called the Poisson distribution. Remember that the Poisson distribution is used to calculate the probability of specific numbers of "events" during a period or space private cio. In many applications the random variable is time or quantity of space. The relationship between the exponential distribution (often called the negative exponential) and the Poisson process is very simple. The Poisson distribution will be developed as a single- parameter distribution with parameter A, where A will be interpreted as the mean number of events per unit of "time". Now consider the random variable described by the time required for it to precede the first event. If we use the Poisson distribution, we see that the probability that some event does not occur, in the period up to time 1, is given by
The most important applications of the exponential distribution are situations where the Poisson process is applied. the Poisson process allows us to use the discrete distribution called the Poisson distribution. Remember that the Poisson distribution is used to calculate the probability of specific numbers of "events" during a period or space private cio. In many applications the random variable is time or quantity of space. The relationship between the exponential distribution (often called the negative exponential) and the Poisson process is very simple. The Poisson distribution will be developed as a single- parameter distribution with parameter A, where A will be interpreted as the mean number of events per unit of "time". Now consider the random variable described by the time required for it to precede the first event. If we use the Poisson distribution, we see that the probability that some event does not occur, in the period up to time 1, is given by
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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