The Cramer-Rao lower bound as a criteria for evaluating a large data reduction system such as LACIE
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Engineering topics
Publications and source records attributed to Odell, P. L..
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The overall success of large-scale crop inventories of agricultural regions using Landsat multispectral scanner data is highly dependent upon the labeling of training data by analyst/photointerpreters. The principal analyst tool in labeling training data is a false color infrared composite of Landsat bands 4, 5, and 7. In this paper, this color display is investigated and its influence upon classification errors is partially determined.
An explicit expression for a compression matrix T of smallest possible left dimension K consistent with preserving the n variate normal Bayes assignment of X to a given one of a finite number of populations and the K variate Bayes assignment of TX to that population was developed. The Bayes population assignment of X and TX were shown to be equivalent for a compression matrix T explicitly calculated as a function of the means and covariances of the given populations.
Crop proportion estimators for determining crop acreage through the use of remote sensing were evaluated. Several studies of these estimators were conducted, including an empirical comparison of the different estimators (using actual data) and an empirical study of the sensitivity (robustness) of the class of mixture estimators. The effect of missing data upon crop classification procedures is discussed in detail including a simulation of the missing data effect. The final problem addressed is that of taking yield data (bushels per acre) gathered at several yield stations and extrapolating these values over some specified large region. Computer programs developed in support of some of these activities are described.
A model is developed for the evaluation of acreages (proportions) of different crop-types over a geographical area using a classification approach and methods for estimating the crop acreages are given. In estimating the acreages of a specific croptype such as wheat, it is suggested to treat the problem as a two-crop problem: wheat vs. nonwheat, since this simplifies the estimation problem considerably. The error analysis and the sample size problem is investigated for the two-crop approach. Certain numerical results for sample sizes are given for a JSC-ERTS-1 data example on wheat identification performance in Hill County, Montana and Burke County, North Dakota. Lastly, for a large area crop acreages inventory a sampling scheme is suggested for acquiring sample data and the problem of crop acreage estimation and the error analysis is discussed.
The so-called table look-up classification procedure and a modification of it are discussed. These and several other classification techniques are evaluated and simulation results comparing some of the techniques are displayed. Indications are that the table look-up technique is quite useful in classifying large sets of data, such as in remote sensing data analysis.
Classification of remote earth resources sensing data according to normed exponential density statistics is reported. The use of density models appropriate for several physical situations provides an exact solution for the probabilities of classifications associated with the Bayes discriminant procedure even when the covariance matrices are unequal.
A multichannel scanning device may fail to observe objects because of obstructions blocking the view, or different categories of objects may make up a resolution element giving rise to a single observation. Ground truth will be required on any such categories of objects in order to estimate their expected proportions associated with various classes represented in the remote sensing data. Considering the classes to be distributed as multivariate normal with different mean vectors and common covariance, maximum likelihood estimates are given for the expected proportions of objects associated with different classes, using the Bayes procedure for classification of individuals obtained from these classes. An approximate solution for simultaneous confidence intervals on these proportions is given, and thereby a sample-size needed to achieve a desired amount of accuracy for the estimates is determined.
Application of statistical design and data analysis to configuration and development of space station experiments and mission
Statistical analysis of equipment selection for multipurpose scientific laboratory onboard space stations under economic and time constraints
Computing procedures and mathematical processes for statistical discriminate analysis
Application of nonparametric techniques for performing statistical discrimination
Application of Bayes theorem to computation of minimax procedures in discrimination analysis
Application of multidimensional scatter for reducing the dimension of statistical discriminate problems
P-Q norms generalized inverse concept of matrix derived from extension of Penrose best approximate solution of linear equations
N matrix equations solved by pseudoinverse theory of matrices, describing techniques for recursive solutions, matrix rank and various vector tests
Generalized inverses of matrices characterization, stressing normal or Hermitian matrices
Fixed point probability vector of ergodic /cyclic/ transition matrices by matrix inversion technique