Which of the following processes are mean-ergodic and which are not?

Which of the following processes are mean – ergodic andwhich are not ?Prove or explain your answers .( 1 ) Poisson process with mean EX ( t ) ; = 1 1.( 2 ) Poisson increments with mean [ /Y ( 1 ) ; = 1 and auto -191 – 121 28covariance : [ ( to 1, ) = 42 At1 – 121 15 – 121 <E .EE( 3 ) Poisson impulses with mean E i Z ( t ) ; = 1and auto – covariance : ( ( t, I, ) = AS ( 1 – 1, ).( 4 ) Semi – random telegraph signal with meanE XX ( 7 ) } = e – 2Xx .( 5 ) Random telegraph signal with mean EY ( t ) ; = 0 ,and auto – covariance ( ( 1 1. ) _ e-2All- 7.1.

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