Extreme correlations

Cedilnik, Anton (author)

In the article we define a quantity which measures the quality of the approximation of a function, given by a table, with a function from a certain family D of nonconstant functions. For this purpose one has to find the infimum and the supremum of the set of correlation coefficients between the given function and functions from D.We do this for the family of all nonconstant functions and for the family of growth functions.

• Language: English
• Keywords: mathematics, approximations, mathematical programming, forestry, extremal correlation, nonlinear programming
• Work type: Scientific work
• Typology: 1.01 - Original Scientific Article
• Organization: BF - Biotechnical Faculty
• Year: 1991
• Number of pages: Str. 257-273
• Numbering: Let. 38
• PID: 20.500.12556/RUL-29007
• UDC: 519.85:519.651
• ISSN on article: 0351-3114
• COBISS.SI-ID: 36037120
• Publication date in RUL: 11.07.2014

Record is a part of a journal

• Title: Zbornik gozdarstva in lesarstva. forest and wood science & technology
• Shortened title: Zb. gozd. lesar.
• Publisher: Gozdarski inštitut Slovenije, Biotehniška fakulteta, Oddelek za gozdarstvo in obnovljive gozdne vire, Biotehniška fakulteta, Oddelek za lesarstvo
• ISSN: 0351-3114
• COBISS.SI-ID: 6206978

Secondary language

• Language: Slovenian
• Title: Ekstremne korelacije

Abstract

V članku je definirana količina, ki meri kvaliteto aproksimacije tabelarično podane funkcije družine D nekonstantnih funkcij. V ta namen je treba poiskati infimum in supremum množice korelacijskih koeficientov med dano funkcijo in funkcijami iz D. Tu je to storjeno za družino vseh nekonstantnih funkcij in za družino rastnih funkcij.

• Keywords: matematika, aproksimacije, matematično programiranje, gozdarstvo, ekstremna korelacija, nelinearni programi