id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ajst-5438	Chang, Chaojie	Research on Two-stage Estimation of Partially Linear Single-index Model with Longitudinal Data	2023	4	.pdf	application/pdf	2859	124	52	First, generate some random numbers in the following model: 𝑌 𝑍 𝜃 𝑔 𝑋 𝛽 𝜀 ,𝑖 1, ⋯ ,𝑛,𝑗 1, ⋯ ,𝑚 where 𝑍 is a covariate, a 0 1 distribution with a parameter of 0.5, 𝑋 𝑋 ,𝑋 ,𝑋 ,𝑋 ,𝑋 𝑋 、𝑋 、𝑋 、𝑋 and 𝑋 are independent of each other and are uniform distribution from the 0,1 interval. C3 (i) Join functions g and g has a second order continuous partial derivative, whereg is the function vector g the ith component of 𝑖 , 1 𝑖 𝑞,g1 𝑡 𝐸 𝑍𝑖𝑗 𝑋𝑖𝑗 𝑇 𝛽 𝑡 ; (ii) g satisfies the first-order Lipschitz condition, where g is the jth component of g , 1 𝑗 𝑝,𝑔 𝑡 𝐸 𝑋 𝑋 𝛽 𝑡 .	cache/ajst-5438.pdf	txt/ajst-5438.txt