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 Inversion-conforming data sets processing

Details
Inventors: Chandler, Larry S.;
Assignee:
Primary Examiner: Tieu; Binh
Assistant Examiner:
Attorney, Agent or Firm: Crowell & Moring LLP

In lieu of the common practice of attempting to maximize the likelihood of sample deviations from unknown true values, representations of data inversions are generated by implementing optimizing techniques which are based upon a concept of maximizing the likelihood of deviations of successively determined inversion-conforming data sets from previously acquired (hence invarient) data- point samples. Inversion-conforming data sets are considered to be sets of coordinate points which correspond to the projection of respective data points along corresponding coordinates onto a fitting approximation or onto the locus of any respectively rendered approximating relationship which corresponds to a data inversion or a considered estimate of the same.

DETAILED DESCRIPTION In view of the foregoing, it is an object of the present invention to provide automated forms of data processing and corresponding processes which will establish maximum likelihood in correspondence with data-point projections being related to inversion-conforming data sets.
It is an object of the present invention to provide automated forms of data processing and corresponding processes which will consider minifying function deviations in correspondence with orthogonal data-point projections being represented in rendering forms of inversion-conforming data sets processing.
It is further object of the present invention to provide option for rendering component measurement variability as the square of estimated measurement precision plus the added dispersion caused by error deviations in related antecedent variable measurements.
It is another object of the present invention to provide for respectively including coordinate-related estimates of dispersion-accommodating measurement variability and respective complementary weighting in correspondence with each considered sample and each pertinent or simultaneously considered degree of freedom in order to establish maximum likelihood with respect to individually considered orthogonal data-point projections.
It is another object of the present invention to provide option for rendering dispersion in determined measure as a function of the variabilities of orthogonal measurement sampling to establish respective representation for complements of orthogonal variability and provide for rendering considered forms of complementary weighting.
It is an object of the present invention to provide means to isolate and evaluate coordinate offsets as associated with respective measurement bias.
It is a further object of the present invention to allow for design implementation of slope handling for maximum likelihood estimating, and to provide the respective option of slope unification by normalizing the on the N.
sup.
th root of the product of differential change in the considered variables



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