Time Scale in Least Square Method

Joint Authors

Yeniay, Özgür
İşçi, Öznur
Göktaş, Atilla
Çankaya, M. Niyazi

Source

Abstract and Applied Analysis

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

Mathematics

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