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On Asymptotic and Strict Monotonicity of a Sharper Lower Bound for Student’s t Percentiles
Let z α and t ν , α denote the upper 100 α % points of a standard normal and a Student’s t ν distributions respectively. It is well-known that for every...
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On the uniform complete convergence of estimates for multivariate density functions and regression curves
Let ( X 1 , Y 1 ),...( X n , Y n ) be a random sample from the ( k +1)-dimensional multivariate density function f * (
x , y ). Estimates of the k -dimensional density... -
On the uniform complete convergence of density function estimates
Let f be a uniformly continuous density function. Let W be a non-negative weight function which is continuous on its compact support [ a, b ] and ∫
...