Returns eps_n = n raised to the power of -beta/(2*beta+d).
Usage
morie_ghosal_contraction_rate(x, beta = 1, d = 1)
Arguments
- x
Numeric data vector (used only for sample-size n).
- beta
Numeric smoothness exponent (default 1.0).
- d
Integer dimension (default 1).
Value
Named list with estimate, log_rate_correction, parametric_rate, n, beta, d, method.
Examples
set.seed(1)
morie_ghosal_contraction_rate(x = rnorm(50))
#> $estimate
#> [1] 0.2714418
#>
#> $log_rate_correction
#> [1] 0.4277045
#>
#> $parametric_rate
#> [1] 0.1414214
#>
#> $n
#> [1] 50
#>
#> $beta
#> [1] 1
#>
#> $d
#> [1] 1
#>
#> $method
#> [1] "Minimax contraction rate n^{-beta/(2beta+d)}"
#>
