Topic
Coverage probability
About: Coverage probability is a research topic. Over the lifetime, 2479 publications have been published within this topic receiving 53259 citations.
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TL;DR: The proposed parametric bootstrap method is conceptually simpler than other proposed methods and consistently performs better than other methods: its coverage probability is close to the nominal confidence level and the resulting intervals are typically shorter than the intervals produced by other methods.
18 citations
TL;DR: In this paper, the authors compare the confidence set centered at a James-Stein point estimator to the usual F confidence set for the p regression parameters of a linear model and show that the range of the shrinkage factor a for the associated confidence set to have uniformly higher coverage probabilities than its F counterpart can be ten times bigger than 2 (p −2) (the expected upper bound in the known-variance case).
18 citations
TL;DR: The findings in this paper shed light on several important aspects of dense MIMO HetNets: first, increasing the multiplexing gains yields lower coverage performance; second, densifying network by installing an excessive number of low-power femto BSs allows the growth of the severalxing gain of high-power, low-density macro-BSs without compromising the coverage performance.
Abstract: We study the coverage performance of multiantenna [multiple-input multiple-output (MIMO)] communications in heterogeneous networks (HetNets). Our main focus is on open-loop and multistream MIMO zero-forcing beamforming at the receiver. Network coverage is evaluated adopting tools from stochastic geometry. Besides fixed-rate transmission (FRT), we also consider adaptive-rate transmission (ART) while its coverage performance, despite its high relevance, has so far been overlooked. On the other hand, while the focus of the existing literature has solely been on the evaluation of coverage probability per stream, we target coverage probability per communication link—comprising multiple streams—which is shown to be a more conclusive performance metric in multistream MIMO systems. This, however, renders various analytical complexities rooted in statistical dependence among streams in each link. Using a rigorous analysis, we provide closed-form bounds on the coverage performance for FRT and ART. These bounds explicitly capture impacts of various system parameters including densities of BSs, SIR thresholds, and multiplexing gains. Our analytical results are further shown to cover popular closed-loop MIMO systems, such as eigen-beamforming and space-division multiple access. The accuracy of our analysis is confirmed by extensive simulations. The findings in this paper shed light on several important aspects of dense MIMO HetNets: first, increasing the multiplexing gains yields lower coverage performance; second, densifying network by installing an excessive number of low-power femto BSs allows the growth of the multiplexing gain of high-power, low-density macro-BSs without compromising the coverage performance; and third, for dense HetNets, the coverage probability does not increase with the increase of deployment densities.
18 citations
TL;DR: In this article, the authors proposed two simple methods (Normal-GLD approximation and the analytical-maximum likelihood GLD approach) to find confidence intervals for quantiles, which are used on a range of unimodal and bimodal data and on simulated data from ten well-known statistical distributions (Normal, Student's T, Exponential, Gamma, Log Normal, Weibull, Uniform, Beta, F and Chi-square).
18 citations
TL;DR: F fuzzy logic approach is used for analyzing the system performance by assuming the trapezoidal membership functions of the system descriptors viz. failure rates and repair rates and the fuzzy mean time to failure and fuzzy availability have been established.
Abstract: In the present investigation, we deal with the reliability characteristics of a repairable system consisting of two independent operating units, by incorporating the coverage factor. The probability of the successful detection, location and recovery from a failure is known as the coverage probability. The reboot delay and common cause shock failure are also considered. The times to failure of the components, time to failure due to common cause, time to repair and time to reboot are assumed to follow exponential distributions. The Markov model of the system is developed and the system state transition probabilities are determined which are further used to evaluate some reliability indices such as availability and mean time to failure. We use fuzzy logic approach for analyzing the system performance by assuming the trapezoidal membership functions of the system descriptors viz. failure rates and repair rates. The fuzzy mean time to failure and fuzzy availability have been established. A numerical experiment has been performed to validate the analytical results.
18 citations