Nonparametric tests for circular regression
نویسندگان
چکیده
منابع مشابه
Tests for Independence in Nonparametric Regression
Consider the nonparametric regression model Y = m(X) + ε, where the function m is smooth, but unknown. We construct tests for the independence of ε and X, based on n independent copies of (X, Y ). The testing procedures are based on differences of neighboring Y ’s. We establish asymptotic results for the proposed tests statistics, investigate their finite sample properties through a simulation ...
متن کاملTests for independence in nonparametric regression ( supplement )
Proof of (2.17) From (2.10) we have with high probability for large n and uniformly in x and y √ n(F n (x, y) − ˆ F X (x) ˆ G(y)) ≤ α n x, y + log 2 n n − G(y)α n (x, ∞) − ˆ F X (x) α n ∞, y − log 2 n n + 2C log 2 n √ n , √ n(F n (x, y) − ˆ F X (x) ˆ G(y)) ≥ α n x, y − log 2 n n − G(y)α n (x, ∞) − ˆ F X (x) α n ∞, y + log 2 n n − 2C log 2 n √ n. Set V n,0 = √ n(F n − ˆ F X ˆ G). From (2.12) and...
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ژورنال
عنوان ژورنال: Journal of Statistical Computation and Simulation
سال: 2020
ISSN: 0094-9655,1563-5163
DOI: 10.1080/00949655.2020.1818243