id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
arjefm-63	Okonkwo, Chijioke Emmanuel; Nwachukwu, Ngozi Chioma	FROM ENERGY TO ECOLOGY: NAVIGATING ENVIRONMENTAL CONSEQUENCES IN NIGERIA'S ECONOMIC LANDSCAPE	2024	22	.pdf	application/pdf	10172	485	50	𝑚� 𝑚� 𝐹�𝐹�𝐶�𝑡� = 𝛼� + ∑ 𝛽�1𝑖�𝐹�𝐹�𝐶�𝑡�−1 + ∑ 𝛽�2𝑖�𝐿�𝐶�𝑂�2𝑡�−𝑖� + 𝜀� (4) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝐶�𝑂�2𝑡� = 𝛼� + ∑ 𝛽�3𝑖�𝐿�𝐶�𝑂�2𝑡�−1 + ∑ 𝛽�4𝑖�𝐹�𝐹�𝐶�𝑡�−𝑖� + 𝜀� (5) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝐺�𝐷�𝑃�𝑃�𝐶�𝑡� = 𝛼� + ∑ 𝛽�5𝑖�𝐿�𝐺�𝐷�𝑃�𝑃�𝐶�𝑡�−1 + ∑ 𝛽�6𝑖�𝐿�𝐶�𝑂�2𝑡�−𝑖� + 𝜀� (6) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝐶�𝑂�2𝑡� = 𝛼� + ∑ 𝛽�7𝑖�𝐿�𝐶�𝑂�2𝑡�−1 + ∑ 𝛽�8𝑖�𝐿�𝐺�𝐷�𝑃�𝑃�𝐶�𝑡�−𝑖� + 𝜀� (7) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝐺�𝐹�𝐶�𝐹�𝑡� = 𝛼� + ∑ 𝛽�9𝑖�𝐿�𝐺�𝐹�𝐶�𝐹�𝑡�−1 + ∑ 𝛽�10𝑖�𝐿�𝐶�𝑂�2𝑡�−𝑖� + 𝜀� (8) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝐶�𝑂�2𝑡� = 𝛼� + ∑ 𝛽�11𝑖�𝐿�𝐶�𝑂�2𝑡�−1 + ∑ 𝛽�12𝑖�𝐿�𝐺�𝐹�𝐶�𝐹�𝑡�−𝑖� + 𝜀� (9) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝑃�𝑂�𝑃�𝑡� = 𝛼� + ∑ 𝛽�13𝑖�𝐿�𝑃�𝑂�𝑃�𝑡�−1 + ∑ 𝛽�14𝑖�𝐿�𝐶�𝑂�2𝑡�−𝑖� + 𝜀� (10) 𝑖�=1 𝑖�=1 𝑚� 𝑚� 𝐿�𝐶�𝑂�2𝑡� = 𝛼� + ∑ 𝛽�15𝑖�𝐿�𝐶�𝑂�2𝑡�−1 + ∑ 𝛽�16𝑖�𝐿�𝑃�𝑂�𝑃�𝑡�−𝑖� + 𝜀� (11) 𝑖�=1 𝑖�=1 The conventional VECM is written compactly as (Equation 12): 𝑘�−1 𝑘�−1 𝑘�−1 𝛥�𝑌� = 𝛼� + ∑ 𝛾�𝛥�𝑌�𝑡�−1 + ∑ 𝜂�𝛥�𝑋� + ∑ 𝜑�𝛥�𝑅� + 𝜆�𝐸�𝐶�𝑇� + 𝜇� (12) 𝑖�=1 𝑖�=1 1=𝑖� where ECTt−1= OLS residual with a lag derived from the long-run cointegrating formula (Equation 13): 𝑌�𝑡� = 𝜎� + 𝜂�𝑗�𝑋�𝑡� + 𝜉�𝑚�𝑅�𝑡� + 𝜇�𝑡� (13) And express as (Equation 14): 𝐸�𝐶�𝑇�𝑡�−1 = [𝑌�𝑡�−1 − 𝜂�𝑗�𝑋�𝑡�−1 − 𝜉�𝑚�𝑅�𝑡�−1] (14)	cache/arjefm-63.pdf	txt/arjefm-63.txt