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000030802 020__ $$a978-80-85881-31-8
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000030802 041__ $$aeng
000030802 040__ $$aABC039$$bcze$$erda
000030802 1001_ $$aKubáček, Lubomír$$cProf. RNDr. Ing., DrSc., Dr.h.c. Honorary member of the Learned society of the Slovak academy of sciences
000030802 242__ $$aStatistická teorie geodetických sítí
000030802 24510 $$aStatistical theory of geodetic networks
000030802 250__ $$aVydání první
000030802 264_1 $$aZdiby$$bVýzkumný ústav geodetický, topografický a kartografický, v.v.i.$$c2013
000030802 300__ $$a285 stran$$c25 cm
000030802 338__ $$2rdacarrier$$asvazek$$bnc
000030802 336__ $$2rdacontent$$atext$$btxt
000030802 490__ $$aVýzkumný ústav geodetický, topografický a kartografický, v.v.i., Odvětvové informační středisko$$bRočník 59, publikace č. 47
000030802 504__ $$aObsahuje bibliografii a rejstřík
000030802 520__ $$aCreating geodetic networks presents many problems from viewpoint of measurement techniques, physics, mathematics, and, primarily, mathematical statistics. The aim of this book is to deal with statistical problems. Geodesists themselves are experienced in handling the huge amount of data obtained from measurement, which must be analyzed from several aspects; in mathematical statistics relatively advanced theory of processing data has been developed and theory can throw fresh light upon of the some problems in geodetic networks. There are many fine works on these issues in geodesy, nevertheless the class of statistical problems in geodetic networks is so vast that many problems has not been described and solved yet. For reading this book only elementary statistical knowledge is necessary, which corresponds to the second and third year at technical universities. In the following text statistical solutions of problems are given in pure mathematical form. Therefore a form of „definition“, “lemma“, “theorem“, “corollary“ and „remark“ is frequently used. Numerical examples are rare. The size of the book would become unbearably enlarged. An example is given in such situation only when it is simple and helps to understand the practical effect of presented theory. The book consists of five chapters. The first one „Preliminaries“, consists of notation used in the following chapters, basic facts from the linear theory of statistical models and a motivation example. The second one „Basic problems in geodetic networks“, concentrates on stochastic relationships between two or among several points, transformation of coordinates, free geodetic networks, minimum norm quadratic unbiased estimators of variance components (MINQUE), basic facts from the optimum design of experiment, theory of sensitivity, threshold ellipses and problems of accuracy of entries of design and covariance matrix. The third chapter „Special structure of geodetic networks“, deals with a multistage network, multiepoch network, connecting networks and additional measurement. In the fourth chapter, „Miscellaneous problems“, the H-optimum estimator for network parameters is introduced along with the problem of accurate points in the second stage measurement, Helmet transformation with errors in both coordinate systems and the optimum elimination of parameters. The last chapter „Weakly nonlinear models“, undertakes to study influence of model nonlinearity on the bias of estimators, confidence ellipses, risk of statistical tests and on a power function of statistical tests.
000030802 655_4 $$amonografie
000030802 653__ $$astatistika$$ageodetické sítě
000030802 830_0 $$aVÚGTK
000030802 909CO $$ooai:knihovna.vugtk.cz:30802$$qGLOBAL
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000030802 933__ $$c201300110$$lKnihovna$$nPV$$xK vypůjčení$$zE.Lhotáková
000030802 980__ $$aedice_vugtk
000030802 985__ $$ateoreticka
000030802 985__ $$amatematika
000030802 990__ $$arevize2015$$b150921$$cklo