Transcription of Random Variables and Stochastic Processes
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Random Variables and Stochastic Processes
1 Random Variablesand Stochastic Processes2 Randomness The word Random effectively meansunpredictable In engineering practice we may treat somesignals as Random to simplify the analysiseven though they may not actually berandom3 Random Variable Defined X () A Random variable is the assignment of numerical values to the outcomes of experiments4 Random VariablesExamples of assignments of numbers to the outcomes vs Continuous-Value Random Variables A discrete-value (DV) Random variable has a set ofdistinct values separated by values that cannotoccur A Random variable associated with the outcomesof coin flips, card draws, dice tosses, wouldbe DV Random variable A continuous-value (CV) Random variable maytake on any value in a continuum of values whichmay be finite or infinite in size6 Distribution Functions FXx()=PX x()The distribution function of a Random variable X is theprobability that it is less than or equal to some value,as a function of that the dist
Stochastic Processes A random variable is a number assigned to every outcome of an experiment. X() A stochastic process is the assignment of a function of t to each outcome of an experiment. X()t, The set of functions corresponding
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PROBABILITY AND RANDOM PROCESSES, Processes, Probability, Statistics, and Random Processes for Electrical Engineering, Probability, Statistics, and Random Processes, Probability, Random, Random Processes, Probability, Statistics, and Stochastic Processes, PROBABILITY AND RANDOM PROCESSES FOR ELECTRICAL AND COMPUTER ENGINEERS, Probability Random Variables and Stochastic Processes, Random Process, Ch 4 Solutions, Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL