On misspecification tests for stochastic linear regression model

Mahaboob, B.; Prasad, S. Vijay; Praveen, J. Peter; Donthi, Ranadheer; Venkateswarlu, B.

doi:10.1063/1.5135214

Cited by 5 publications

(3 citation statements)

References 2 publications

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“…e F r e −  …………………………………………... (6) so that each iteration reduces the error by a factor near F (r)  . If F (r)  is near 1 this is slow convergence.…”

Section: The Iteration Methodmentioning

confidence: 99%

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A Review Article On Mathematical Aspects Of Nonlinear Models

Mahaboob¹

2021

TURCOMAT

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The main objective of this review article is to propose some mathematical aspects of nonlinear models. In mathematics, nonlinear modelling is empirical or semi-empirical modelling which takes at least some nonlinearities into account. Nonlinear modelling in practice therefore means modelling of phenomena in which independent variables affecting the system can show complex and synergetic nonlinear effects. Contrary to traditional modelling methods, such as linear regression and basic statistical methods, nonlinear modelling can be utilized efficiently in a vast number of situations where traditional modelling is impractical or impossible. This review article mainly explores on mathematical preliminaries of nonlinear models, solution of algebraic and transcendental equations and solution of system of nonlinear equations. In addition to these Taylor polynomial and finite difference operators, least - squares polynomial approximation and the roots of the equations are also discussed here.

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Section: The Iteration Methodmentioning

confidence: 99%

“…B.Mahaboob, 2 P.Venkateswararao, 3 P.S.Prema Kumar,4 S.Venu Madhava Sarma,5 S.Raji Reddy,6 Y.Hari Krishna,…”

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confidence: 99%

A Review Article On Mathematical Aspects Of Nonlinear Models

Mahaboob¹

2021

TURCOMAT

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“…Fig. 6 & 7 depict distinct PHASE DIAGRAMS from ( 21) and (22). HOMOTOPY METHOD is incapable to differentiate non-periodic &periodic behavior of the solutions.…”

Section: Phase Diagram Generationmentioning

confidence: 99%

Application of Homotopy Analysis Method for Investigating Nonlinear Oscillations

2020

IJETER

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Homotopy Analysis Method (HAM) is a well organized method to get the periodic solution of Non-Linear Oscillatory Duffing Equation of Motion. By having a glance on Helmholtz Equation of Motion an attempt has been made to explore the proficiency of HAM. This research article explores on Helmholtz Equation of Motion possessing non-odd restoring force function. Moreover in this equation the behavior of oscillations is different for the same magnitude of +ve and -ve amplitudes. This phenomenon concerns with asymmetric oscillations which are nonlinear. In the case of large amplitude vibrations a greater amount of inconsistency has been noticed here. Furthermore the incapability of HAM in differentiating the non-periodic solution of Motion has been extensively discussed.

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