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Journal ArticleDOI

Estimation in Lognormal Linear Models

Dan Bradu, +1 more
- 01 Mar 1970 - 
- Vol. 65, Iss: 329, pp 198-211
TLDR
In this paper, the results of Finney minimum variance unbiased estimators, τ, of parametric functions of the type are established, and expressions for the variance of τ and an unbiased estimator of the variance are obtained.
Abstract
Let Y = ey where the usual assumptions of the general linear models: y = Xa+u, u ∼ N(0, σ2 I) are made. Extending the results of Finney minimum variance unbiased estimators, τ, of parametric functions of the type are established. Expressions for the variance of τ and an unbiased estimator of the variance are obtained. The results are in terms of functions whose numerical values are tabulated.

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Citations
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Journal ArticleDOI

Smearing Estimate: A Nonparametric Retransformation Method

TL;DR: The smearing estimate as discussed by the authors is a nonparametric estimate of the expected response on the untransformed scale after fitting a linear regression model on a transformed scale, which is consistent under mild regularity conditions, and usually attains high efficiency relative to parametric estimates.
Book

Load Estimator (LOADEST): A FORTRAN Program for Estimating Constituent Loads in Streams and Rivers

TL;DR: A selection of photos from the 2016/17 USGS report on quantitative hazard assessments of earthquake-triggered landsliding and liquefaction at the USGS Deepwater Research Facility in California.
Journal ArticleDOI

Regional interpretation of water‐quality monitoring data

TL;DR: In this article, the authors describe a method for using spatially referenced regressions of contaminant transport on watershed attributes (SPARROW) in regional water quality assessment. But the method is designed to reduce the problems of data interpretation caused by sparse sampling, network bias, and basin heterogeneity.
Journal ArticleDOI

Estimating constituent loads

TL;DR: In this paper, the authors compared the bias and variance of three procedures that can be used with log linear regression models: the traditional rating curve estimator, a modified rating curve method, and a minimum variance unbiased estimator (MVUE).
Journal ArticleDOI

Indices of Relative Abundance from Fish Spotter Data based on Delta-Lognornial Models

TL;DR: Fish spotters are pilots in small aircraft employed by commercial fishermen to locate, identify, estimate the size of, and direct boats toward pelagic fish schools.
References
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Book

Linear statistical inference and its applications

TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
Book

Introduction to the Theory of Statistics

TL;DR: In this article, a tabular summary of parametric families of distributions is presented, along with a parametric point estimation method and a nonparametric interval estimation method for point estimation.
Journal ArticleDOI

Linear Statistical Inference and its Applications

J. Aitchison, +1 more
- 01 Dec 1966 - 
TL;DR: Causal inference in statistics: An overview Linear Statistical Inference And Its Bayesian inference Wikipedia Springer Series in Statistics Stanford University Statistical Modeling, Causal Inference, and Social Science.
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