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Probability and Stochastic Processes - National Sun …
Wireless Information Transmission System of Communications EngineeringNational Sun Yat-senUniversityProbability and Stochastic Processes2 Table of Contents Probability Random Variables, Probability Distributions, and Probability Densities Statistical Averages of Random Variables Some Useful Probability Distributions Upper Bounds on the Tail Probability Sums of Random Variables and the Central Limit Theorem Stochastic Processes Statistical Averages Power Density Spectrum Response of a Linear Time-Invariant System to a Random Input Signal Discrete-Time Stochastic Signals and Systems CyclostationaryProcesses3 Sample spaceor certain eventof a die experiment: The six outcomes are the sample pointsof the experiment. An eventis a subsetof S, and may consist of any number of sample points. For example: The complementof the event A, denoted by , consists of all the sample points in Sthat are not in A:{}6,5,4,3,2,1=S{ }4,2=AA{}6,5,3,1=AProbability4 Two events are said to be mutually exclusiveif they have no sample points in common that is, if the occurrence of one event excludes the occurrence of the other.
Wireless Information Transmission System Lab. Institute of Communications Engineering National Sun Yat-sen University Probability and Stochastic Processes
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