Least squares orthogonal polynomial regression estimation for irregular design

Waldemar Popiński

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 3, 631-647

Abstract: The problem of nonparametric function fitting using the complete orthogonal system of Legendre polynomials ek,k=0,1,…, for the observation model with errors in the independent and dependent variables yj=f(x0j+ξj)+ηj,j=1,2,…,n, is considered for f∈C[−1,1], where x0j are equidistant points in [−1,1], ξj are deterministic or random errors such that |ξj|

Date: 2020
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DOI: 10.1080/03610926.2018.1549244

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