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Time Scale in Least Square Method
Joint Authors
Yeniay, Özgür
İşçi, Öznur
Göktaş, Atilla
Çankaya, M. Niyazi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Study of dynamic equations in time scale is a new area in mathematics.
Time scale tries to build a bridge between real numbers and integers.
Two derivatives in time scale have been introduced and called as delta and nabla derivative.
Delta derivative concept is defined as forward direction, and nabla derivative concept is defined as backward direction.
Within the scope of this study, we consider the method of obtaining parameters of regression equation of integer values through time scale.
Therefore, we implemented least squares method according to derivative definition of time scale and obtained coefficients related to the model.
Here, there exist two coefficients originating from forward and backward jump operators relevant to the same model, which are different from each other.
Occurrence of such a situation is equal to total number of values of vertical deviation between regression equations and observation values of forward and backward jump operators divided by two.
We also estimated coefficients for the model using ordinary least squares method.
As a result, we made an introduction to least squares method on time scale.
We think that time scale theory would be a new vision in least square especially when assumptions of linear regression are violated.
American Psychological Association (APA)
Yeniay, Özgür& İşçi, Öznur& Göktaş, Atilla& Çankaya, M. Niyazi. 2014. Time Scale in Least Square Method. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013753
Modern Language Association (MLA)
Yeniay, Özgür…[et al.]. Time Scale in Least Square Method. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1013753
American Medical Association (AMA)
Yeniay, Özgür& İşçi, Öznur& Göktaş, Atilla& Çankaya, M. Niyazi. Time Scale in Least Square Method. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013753
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013753