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Showing 1 to 18 of 18 for “"unbiased estimator"”.
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Bayes and minimum variance unbiased estimators of reliability using the truncated Weibull life testing model
… In this study, we shall consider two types of estimators, namely, the Bayes and minimum variance unbiased estimators for the scale parameter θ in the truncated Weibull life testing model when the shape parameter ρ assumed known. In addition, we shall estimate the corresponding reliability …
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Statistical verification and differential privacy in cyber-physical systems
… Differential Privacy and the entropy of the unbiased estimator of the private data, and an optimal algorithm to achieve the best trade-off is given.
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Some Sampling Designs and Estimation Problems
<p>In the first chapter we review some standard estimators in sampling from a finite population, and some design-based estimators in sampling from a continuous universe.</p> <p>In concert with the theory initiated by professor Douglas Robson (personal communication) and later presented by Cordy …
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Response Surface Design and Analysis in the Presence of Restricted Randomization
… property enjoy the advantages of best linear unbiased estimates and design selection that is robust to model misspecification and independent of the variance components. We present a generalized proof of the equivalence conditions that enables the development of several systematic design …
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Topics in small area estimation with applications to the National Resources Inventory
… square error (MSE) of the empirical best linear unbiased predictor and an estimator of the MSE are developed. Simulation studies show that the theoretical expressions are good approximations for the MSE of the predictors. Also the suggested MSE estimator has smaller overestimation for the MSE …
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Statistical Calibration Theory
… models. Asymptotic means and variances of the X estimators are derived. Estimators unbiased to O(1/N) are given for X values and important parameters. Confidence regions are constructed using the unbiased estimator of X.</p> <p>The results for calibration models are applied to a related set of …
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Application of Randomized Branch Sampling to Conifer Trees: Estimating Crown Biomass
… itself to draw probability samples and generate unbiased estimates. When implemented correctly, RBS can also greatly reduce the costs in time and labor of sampling when the purpose is estimating attributes borne within crown portions of trees. However, RBS was created for and has been implemented …
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Application of Randomized Branch Sampling to Conifer Trees: Estimating Crown Biomass
… itself to draw probability samples and generate unbiased estimates. When implemented correctly, RBS can also greatly reduce the costs in time and labor of sampling when the purpose is estimating attributes borne within crown portions of trees. However, RBS was created for and has been implemented …
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Optimal and Suboptimal Signal Detection-On the Relationship Between Estimation and Detection Theory
… testing, we prove that the Minimum Variance and Unbiased Estimator of a Separating Function (SF) serves as the optimal decision statistic for the Uniformly Most Powerful (UMP) unbiased test. In many problems, the UMP test does not exist. For such cases, we introduce new suboptimal SF-Estimator …
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Target localization in MIMO radar systems
… and receiving sensors. The best linear unbiased estimator (BLUE) is derived for the MIMO target localization problem. The BLUE's utility is in providing a closed-form localization estimate that facilitates the analysis of the relations between sensors locations, target location, and …
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Methods for the Comparison of Timing Behavior Applied to the Pink Salmon Fisheries of Prince William Sound, Alaska
… date) of the time density as the consistent, unbiased estimator of migratory behavior was given. Practical evidence demonstrated that the mean date was highly resistant to factors which contribute variability to the basic expression of migratory behavior.</p> <p>Brood year cycle and locality …
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An investigation of some alternative estimation procedures
Estimators are investigated which provide alternatives to the usual unbiased estimators for the mean and variance. It is assumed that the experimental situation is one in which the statistician has at his disposal some information concerning the parameter space. In particular, the experimenter may …
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Collaborative Information Processing in Wireless Sensor Networks for Diffusive Source Estimation
… the maximum-likelihood (ML) and the best linear unbiased estimator (BLUE) for a special case of our obtained physical dispersion model. We prove the consistency and asymptotic normality of the obtained ML solution when the number of sensor nodes and samples approach infinity, and derive the …
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Particle Filtering for Continuous Time Problems
… This thesis contributes by developing a (nearly) unbiased particle filtering algorithm for continuous-time stochastic processes with observations arising from a Cox process. The algorithm uses Poisson estimates to approximate the intractable path integral in an unbiased manner. We demonstrate how …
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Optimal estimation in high-dimensional and nonparametric models
… tractable. In the first chapter, a new estimator for the volume of a convex set is proposed. The estimator is minimax optimal and also efficient non-asymptotically: it is nearly unbiased with minimal variance among all unbiased oracle-type estimators. Our approach is based on a Poisson …
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Estimation, Prediction and Counterfactual Inference with Dependent Observations
… design, called the conflict graph design. For an unbiased estimator of that effect, we prove bounds on its variance that yield the best known rates of estimation for various effects studied in the literature, such as the average direct effect and the total effect, but also provide estimation rates …
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Channel parameter tuning in a hybrid Wi-Fi-Dynamic Spectrum Access Wireless Mesh Network
… We also derive an efficient minimum variance unbiased estimator of the interference plus noise and show how the SINR can be found using this estimate. Our estimation is more granular, accurate, and appropriate to the problem of Secondary User (SU)-SU coexistence than the binary hypothesis …
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Modeling And Detection Of Uterine Contractions Using Magnetomyography
… of a contraction, we propose a spatio-temporal estimator of the magnetic activity generated by uterine contractions. The algorithm, when evaluated with real MMG measurements, detects uterine activity much earlier than the patient begins to sense it. It also enables visualizing the relative …