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hemanth
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Given that an Poisson arrival has occurred in an interval [0,t], where t is geometric with mean (alpha).
Is it true that the arrival instant is uniform in [0,t]?
Is it true that the arrival instant is uniform in [0,t]?
hemanth said:Given that an Poisson arrival has occurred in an interval [0,t], where t is geometric with mean (alpha).
Is it true that the arrival instant is uniform in [0,t]?
hemanth said:Given that an Poisson arrival has occurred in an interval [0,t], where t is geometric with mean (alpha).
Is it true that the arrival instant is uniform in [0,t]?
hemanth said:Given that an Poisson arrival has occurred in an interval [0,t], where t is geometric with mean (alpha).
Is it true that the arrival instant is uniform in [0,t]?
The Uniformity of Poisson arrivals in random interval refers to the property of a Poisson process where the probability of an event occurring in a specific time interval is constant, regardless of the length of the interval.
The Uniformity of Poisson arrivals in random interval is calculated by dividing the number of events that occur in a given time interval by the length of the interval. This calculation will result in a constant rate of occurrence for any interval of the same length.
A Poisson process is a mathematical model used to describe the random occurrence of events over a continuous period of time. It assumes that the events occur independently and at a constant average rate.
The Uniformity of Poisson arrivals in random interval is important because it allows us to make predictions about the occurrence of events in a given time period. It is also a useful tool for analyzing data and making decisions based on the frequency of events.
The Uniformity of Poisson arrivals in random interval has many real-world applications, including predicting customer arrivals at a store, estimating traffic flow on a road, and analyzing the occurrence of natural disasters. It is also commonly used in financial modeling and risk assessment.