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QUANTILE ESTIMATION AND PROBABILITY COVERAGES

Australian Journal of Statistics, 1980
SummaryWhen estimating population quantiles via a random sample from an unknown continuous distribution function it is well known that a pair of order statistics may be used to set a confidence interval for any single desired, population quantile. In this paper the technique is generalized so that more than one pair of order statistics may be used to ...
openaire   +2 more sources

Coverage Probability Analysis in a Device-to-Device Network: Interference Functional and Laplace Transform Based Approach

IEEE Communications Letters, 2019
In this letter, we provide an interference functional and Laplace transform based analysis using stochastic geometry to evaluate the expectation over the interference, which is further used to derive the coverage probability expressions for device-to ...
Sandeep Joshi, R. Mallik
semanticscholar   +1 more source

The asymptotic values of certain coverage probabilities

Biometrika, 1969
SUMMARY Consider n arbitrary subsets of a set X. Suppose x e X lies in H(x) of these subsets and define H = min H(x) and H = max H(x). That is, the least and most covered regions of X are x E X _ x E respectively H- and H-covered, with 0 n-rm) are determined for m = 0, 1,. 1.
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Closed-Form Coverage Probability in Cellular Networks With Poisson Point Process

IEEE Transactions on Vehicular Technology, 2019
For the cellular networks with Poisson point process and general path-loss exponent, we derive a closed-form expression of the coverage probability. Its graphical profile perfectly matches with the one that is obtained by numerical integration.
Xian Liu
semanticscholar   +1 more source

Optimal Base Station Deployment with Downlink Rate Coverage Probability Constraint

IEEE Wireless Communications Letters, 2018
The uncertainty in user locations and channel conditions makes the deployment and performance analysis of wireless networks challenging. Stochastic geometry has emerged as a powerful tool for analyzing the performance of wireless networks, assuming ...
S. Chatterjee   +2 more
semanticscholar   +1 more source

Probably approximately correct coverage for robots with uncertainty

2011 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2011
The classical problem of robot coverage is to plan a path that brings a point on the robot within a fixed distance of every point in the free space. In the presence of significant uncertainty in sensing and actuation, it may no longer be possible to guarantee that the robot covers all of the free space all the time, and so it becomes unclear what ...
Aaron T. Becker   +2 more
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On some coverage probability maximization problems

Communications in Statistics - Simulation and Computation, 1980
Duals of bilinear programming problems are used to establish some optimality properties of probability coverage optimization problems. These problems include confidence interval problems and hypothesis testing problems in particular cases.
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Asymptotic Expansion of the Coverage Probability of James–Stein Estimators

Theory of Probability & Its Applications, 2007
This paper provides a new approach to the asymptotic expansion construction of the coverage probability of the confidence sets recentered in [W. James and C. Stein, Estimation with quadratic loss, in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, Univ. California Press, Berkeley, CA, 1961, pp.
Ahmed S.   +3 more
openaire   +4 more sources

Choosing a coverage probability for forecasting the incidence of cancer

Statistics in Medicine, 2014
Loddon Mallee Integrated Cancer Service plays a key role in planning the delivery of cancer services in the Loddon Mallee Region of Victoria, Australia. Such planning relies on the accuracy of forecasting the incidence of cancer. Perhaps more importantly is the need to reflect the uncertainty of these forecasts, which is usually carried out through ...
Derek S. Young, Terence M. Mills
openaire   +3 more sources

Coverage probability of multiple UAVs supported ground network

, 2017
In disaster recovery, ground network consisting of mobile terminals of rescue vehicles and civilians may be disconnected due to severe environment.
Zijun Guo   +3 more
semanticscholar   +1 more source

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