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and Non Linear Model in Proposed Hybrid Model<br />

2.7.1 ARIMA as Linear Model 61<br />

2.7.2 BPNN as Nonlinear Model 62<br />

2.7.2.1 BP Learning Algorithm 64<br />

2.8 Summary 66<br />

3 RESEARCH METHODOLOGY 68<br />

3.1 Introduction 68<br />

3.2 Operational Framework 71<br />

3.3 Problem Definition 72<br />

3.4 Proposed Cooperative Feature Selection (CFS) 72<br />

3.5 Proposed Hybrid GRANN_ARIMA Model 73<br />

3.5.1 Development of Forecasting Model 73<br />

3.5.1.1 Development of BPNN Model 73<br />

3.5.1.2 Development of ARIMA Model 77<br />

3.5.2 Integration of Forecasting Values 80<br />

3.6 Proposed Hybrid GBPSO_ARIMA Model 82<br />

3.7 Model Evaluation 82<br />

3.7.1 Quantitative Error Measurement 82<br />

3.7.2 Comparative Model Performance 84<br />

3.7.3 Hypothesis Testing 84<br />

3.7.4 Stability and Adaptability Analysis 84<br />

3.7.5 Diagnostic Test: Ljung Box Test 85<br />

3.8 Experimental Design 85<br />

3.8.1 SAMPLE DATA SET 1: China Crop Yield 86<br />

3.8.2 SAMPLE DATA SET 2: KLSE Closing Price 87<br />

3.8.3 SAMPLE DATA SET 3: Composite Index 89<br />

3.8.4 SAMPLE DATA SET 4: TEE of Natural Rubber<br />

Products<br />

90<br />

3.9 Summary 92<br />

ix

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