ADJUSTMENT THEORY I IGI-SE>ADJTHI
Wykład (WYK) Semestr zimowy 2016/17

Lecture 1. Purpose and scope of the adjustment theory. Errors in land surveying.

Lecture 2. Matrix algebra - basic operation.

Lecture 3. Matrix algebra: matrix decompositions.

Lecture 4.5. Matrix algebra: the inverse of the nonsingular square matrices, Cholesky algorithm

Lecture 6. Linear equations with non-singular coefficient matrix.

Lecture 7. Generalized matrix inverse and their application to solving systems of equations.

Lecture 8. Probabilistic foundations of the theory of measurement errors and adjustment methods .

Lecture 9.10. Multidimensional random variables, random vectors, moments, multivariate distributions.

Lecture 11. The statistical inference in the adjustment theory; point estimation, interval estimation.

Lecture 12. Covariance matrix, coefficient of variance matrix cofactors, matrix weights, error propagation law.

Lecture 13. The use of the law of propagation of covariance to assess the surveying accuracy and to surveying planning.

Lecture 14, 15. Accuracy of a point in Euclidean space: average error ellipse curve and the average error. The confidence ellipse.