Minimax posterior-contraction rate

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

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)}"
#>