Titlebook: Introduction to Stochastic Processes Using R; Sivaprasad Madhira,Shailaja Deshmukh Textbook 2023 The Editor(s) (if applicable) and The Aut

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Brownian Motion Process,n Sect. 1, Brownian motion is defined in Sect. 2 and some of its properties are discussed. Using the continuity property of the sample paths and reflection principle, distributions of the maximum and minimum of a Wiener process over a bounded time interval are derived in Sect. 3. There are many vari

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Renewal Process,uted. The elementary properties of a renewal process including that the renewal function uniquely determines the renewal process are established in Sect. 2. In Sect. 3, we study a limit theorem concerning long-run renewal rate for the renewal process and its applications. Section 4 is devoted to the

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