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Msplit estimation. Part II: Squared Msplit estimation and numerical examples

Wiśniewski Z.

Geodezja i Kartografia

2009

Vol. 58, no 1

23-48

The present paper consists of two parts. The first part presents theoretical foundations of Msplit estimation with reference to the previous author’s paper (Wiśniewski, 2009). This time, some probabilistic assumptions are described in detail. A new quantity called f-information is also introduced to formulate the split potential in more general way. The main aim of this part of the paper is to generalize the target function of Msplit estimation that is the basis for a new formulation of the optimization problem. Such problem itself as well as its solution are presented in this part of the paper. The second part of the paper presents some special case of Msplit estimation called squared Msplit estimation (also with reference to the mentioned above paper of the author). That part presents a new solution and development in the theory of this version of Msplit estimation and some numerical examples that show properties of the method and its application scope.

Msplit estymacją. Funkcja celu jest tutaj ustalana na podstawie wypukłych funkcji kwadratowych. Przedstawiono teoretyczne podstawy squared Msplit estymacji, jej algorytm oraz kilka przykładów numerycznych.