Today, mobile tools, such as smartphones and tablets, have become primary computing devices for many users. One mobile tool to satisfy this is the 4G network technology LTE (Long-Term Evolution)-Advanced. These mobile tools are resource-poor due to limited battery life. Mobile Cloud Computing (MCC) is intended to provide services to mobile users by supplementing the resource-paucity of mobile devices (i.e. off-loading tasks/data on the Internet and providing the resources to a local client on-demand). However, despite LTE-Advanced’s improved network quality, much needs to be done before MCC can reach its true potential. This chapter characterizes key challenges for deployment of MCC with 4G: device battery lifetime, latency, quality of service/experience, and handover. Statistical modeling is a powerful tool to address these issues. Once MCC with 4G network behavior is characterized, it is translated into the future development of innovative mobile technologies for a wide variety of new applications.