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MINIMUM VARIANCE UNBIASED ESTIMATION OF PROBABILITY DENSITIES
Australian Journal of Statistics, 1980SummaryThe purpose of this note is to point out an elementary method for deriving the minimum variance unbiased (mvu) estimators of probability densities. The method is illustrated by estimating the densities of some well known important distributions.
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Minimum Variance Unbiased Estimation of Software Reliability
Probability in the Engineering and Informational Sciences, 1989As the formal methods of proving correctness of a computer program are still very inadequate, in practice when a new piece of software is developed and all obvious errors are removed, it is tested with different (random) inputs in order to detect the remaining errors and assess its quality.
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Amounts of Information and the Minimum Variance Unbiased Estimation
1995In the previous chapter we introduced the concept of the one-directional distribution and discussed the locally minimum variance unbiased estimation for its family. In this section, from another point of view we shall treat the case when the amount of Fisher information is infinity and show that the locally minimum variance of unbiased estimators is ...
Masafumi Akahira, Kei Takeuchi
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Unbiased Estimator of Finite Population Variance Based on a Ratio Type Estimator
, 2018In this paper, an estimator of the finite population variance S2_y is proposed. The proposed estimator is exactly unbiased estimatorfor S2_y; further, the mean squared error (MSE) of the proposedestimator is derived. Empirical studies from real data sets
J. Al-Jararha
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Minimum Variance Unbiased Estimate of a Coverage Probability
Operations Research, 1968Let F(x, θ) denote the distribution function of a vector variate x, whose range does not depend on the parameter θ. Then assuming that θ admits a complete and sufficient estimator θ̂, we derive minimum variance unbiased estimate of Px ≦ a= F(a, θ), where a is a known vector. The result is applied to a coverage problem in a normal set up.
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Unbiased minimum-variance linear state estimation
Automatica, 1987Abstract A method is developed for linear estimation in the presence of unknown or highly non-Gaussian system inputs. The state update is determined so that it is unaffected by the unknown inputs. The filter may not be globally optimum in the mean square error sense. However, it performs well when the unknown inputs take extreme or unexpected values.
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Minimum variance unbiased subpixel centroid estimation of point image limited by photon shot noise.
Journal of The Optical Society of America A-optics Image Science and Vision, 2010An unbiased subpixel centroid estimation algorithm of point image is proposed through the compensation of the systematic error of the center of mass method.
Hui Jia, Jiankun Yang, Xiujian Li
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Some Examples of Minimum Variance Unbiased Estimates
The American Statistician, 1972Tenenbein (1971) presented an interesting example in which he constructed a minimum variance unbiased estimate of a certain integer valued parameter. His example is reviewed in the light of the fact that his "estimate" takes on non-integer values. Below, in such a case, the term "estimate" is reserved for integervalued functions of the observations ...
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Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance Components
Technometrics, 1978Minimum variance quadratic unbiased estimators (MIVQUE's) of variance components from unbalanced data are obtained for the one-way classification random model under normality. Explicit, computable expressions are given for the estimators, their variances, and their covariance.
Shayle R. Searle, William H. Swallow
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Minimum Variance Unbiased Estimation of Reliability for the Truncated Exponential Distribution
Technometrics, 1969This note derives the unique minimum variance unbiased estimate (MVUE) of the reliability function associated with the one-parameter exponential distribution which is truncated from above at a known point using the method of integral transforms.
S. D. Varde, Y. S. Sathe
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