Estimates of Gradients in Radar Moments Using a Linear Least Squares Derivative Technique
نویسندگان
چکیده
منابع مشابه
Linear Least Squares Estimates and Nonlinear Means
The consistency and asymptotic normality of a linear least squares estimate of the form (X,X)-X’Y when the mean is not X/I is investigated in this paper. The least squares estimate is a consistent estimate of the best linear approximation of the true mean function for the design chosen. The asymptotic normality of the least squares estimate depends on the design and the asymptotic mean may not ...
متن کاملEstimates of Optimal Backward Perturbations for Linear Least Squares Problems∗
Numerical tests are used to validate a practical estimate for the optimal backward errors of linear least squares problems. This solves a thirty-year-old problem suggested by Stewart and Wilkinson.
متن کاملEfficient computation of condition estimates for linear least squares problems
Linear least squares (LLS) is a classical linear algebra problem in scientific computing, arising for instance in many parameter estimation problems. In addition to computing efficiently LLS solutions, an important issue is to assess the numerical quality of the computed solution. The notion of conditioning provides a theoretical framework that can be used to measure the numerical sensitivity o...
متن کاملStatistical Estimates for the Conditioning of Linear Least Squares Problems
In this paper we are interested in computing linear least squares (LLS) condition numbers to measure the numerical sensitivity of an LLS solution to perturbations in data. We propose a statistical estimate for the normwise condition number of an LLS solution where perturbations on data are mesured using the Frobenius norm for matrices and the Euclidean norm for vectors. We also explain how cond...
متن کاملReversals of Least-Squares Estimates
An adjusted estimate may be opposite the original estimate. This paper presents necessary and sufficient conditions for such a reversal, in the context of linear modeling, where adjustment is obtained through considering additional explanatory data associated with lurking variables.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Weather and Forecasting
سال: 2019
ISSN: 0882-8156,1520-0434
DOI: 10.1175/waf-d-18-0095.1