Using Johnson Schumacher Model for Parameter Estimation of Nonlinear Regression Model

In this study, we aim to estimate parameters of nonlinear model by using ordinary least square. This paper used a real data set on exchange rate, inflation, exports, imports, investments, and budget deficit. The appropriate models of the data are cubic and Johnson Schumacher Model. Both Results of...

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Bibliographic Details
Main Authors: maie kamel, Hanaa Hanaa Abd El-Redeem Salem, Mona Nazih Abdel Bary Nazih Abdel Bary
Format: Article
Language:Arabic
Published: Faculty of Commerce, Port Said University 2022-10-01
Series:Maǧallaẗ Al-Buḥūṯ Al-Mālīyyaẗ wa Al-Tiğāriyyaẗ
Subjects:
Online Access:https://jsst.journals.ekb.eg/article_272340_16c98c2c95d19ef20706fa34af1d5b4e.pdf
Description
Summary:In this study, we aim to estimate parameters of nonlinear model by using ordinary least square. This paper used a real data set on exchange rate, inflation, exports, imports, investments, and budget deficit. The appropriate models of the data are cubic and Johnson Schumacher Model. Both Results of application data and Simulation study appear that the Johnson Schumacher nonlinear regression model is outstanding performance This paper develops the reliable alternative approach of parameter estimation based on the PSO algorithm in the model of nonlinear regression. When the PSO method is used for estimating of nonlinear regression model parameters. Estimating (Forecasting) of the exchange rate using Johnson Schumacher nonlinear model This study presents the following variables: (X1: inflation), (X2: exports), (X3: imports), (X4: investments), (X5: budget deficit). These represent the main variables that affect (Y: exchange rate). The study introduced two nonlinear models cubic and Johnson Schumacher nonlinear model. The Johnson Schumacher nonlinear model shows outstanding performance. The results of the simulation
ISSN:2090-5327
2682-3543