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Today, either simulations or simplified analytical models are commonly used to solve the problem of statistical signal-to-interference-and-noise-ratio (SINR) description in homogeneous cellular networks. But for dynamic cellular communication systems compact formulations that are close the exact behavior of the SINR are indispensable. To overcome this issue a new approach with increased accuracy is contributed. The derived functions are applied to omni-directional and sectored scenarios. These modeling techniques for an exact statistical analysis of a given cell structure are more and more important for an efficient use of the given resources from a system-level point of view. In combination with the analysis of power consumption in cellular networks it is possible to identify general design rules for future energy-efficient networks. 1 I. INTRODUCTIONA major challenge in cellular mobile communications systems is the property of adaptivity and reconfigurability. Due to non-uniformly distributed communication requests the deployment strategy is not static anymore. It has to be changed dynamically. To apply the dynamic adaptation task to different load scenarios of the network, a multi-dimensional optimization problem, influenced by coverage, capacity and energy constraints, has to be solved. This calls for compact analytical expressions describing the behavior of each criterion. Until today, mostly simulation tools are used to obtain the performance evaluation of a cellular network. In this work, we investigate in the derivation of an analytical term to describe the statistical behavior of the SINR in homogeneous cellular networks. The SINR itself establishes the basis for further coverage and capacity considerations. To manage the formal description, the computation problem is split into signal-to-interference-ratio (SIR) and signal-to-noise-ratio (SNR) description first and will be recombined later. A simplified exact computation of the SIR function, called flower model, is introduced for this purpose. This differentiates this work from available interference statistics obtained via simulation [1]. As a result of this work, we get accurate shapes for the SINR function and statistics of omnidirectional scenarios, however the sectored case is somewhat less accurate. Beside the overall SINR model, we observe that SIR statistics have the strongest influence in the overall system performance and is only dependent on the path-loss exponent