Random Processes: A First Look, Second Edition,
This book develops appreciation of the ingenuity involved in the mathematical treatment of random phenomena, and of the power of the mathematical methods employed in the solution of applied problems. It is intended to students interested in applications of probability to their disciplines.
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Easy Life and Good Times
Extreme Life Times
How Normal Is Normal?
When in Doubt Approximate
Be Discreet with Discrete
To Renew or Not to Renew
Inference from Interference
Appendix A Formulae
Appendix B Tables
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applications approximately arrivals assume average cost binomial busy calculations called Chapter Clearly common compute conditional Consider constant continuous corresponding cost function customers defined denote density f depends differentiation discussed distribution equal equation estimator evaluate event exactly Example exponential expression finite fixed formula given graph Hence increases independent individual infinite initial instant integral interest interval joint jumps known Laplace transform length limit lines mathematical mean method needed Note Observe obtained occur operation parameter period Pij(t Poisson distribution positive present probability problem queue random random variable relation renewal represents respectively result sample sample mean Section Show simple situation solution Statistical success Suppose theory tion transition trials variance Verify waiting write yields zero