Discrete kernel function
discrete_kernel(
kernel = c("optimal", "triang", "epanech", "binomial"),
x,
z,
h,
k = NULL
)the type of kernel. Currently supported kernels are limited to: "optimal", "triang", "epanech" and "binomial"
the target point at which the density is calculated
the vector of observations
the bandwidth (or smoothing parameter)
Optional: the integer (positive) parameter that defined the support of the kernel function (corresponds to parameter 'a' for triangular kernel). It is only used for optimal and triangular kernel
Returns the value of the associated kernel function
discrete_optimal(), discrete_triang(), discrete_epanech(),
discrete_binomial() which this function wraps.
discrete_kernel(kernel = "optimal", x = 25, z = 1:50, h = 0.9, k = 20)
#> [1] 0.00000000 0.00000000 0.00000000 0.00000000 0.01871809 0.01956892
#> [7] 0.02037611 0.02113967 0.02185959 0.02253589 0.02316855 0.02375758
#> [13] 0.02430298 0.02480475 0.02526288 0.02567739 0.02604826 0.02637550
#> [19] 0.02665910 0.02689908 0.02709542 0.02724813 0.02735721 0.02742266
#> [25] 0.02744448 0.02742266 0.02735721 0.02724813 0.02709542 0.02689908
#> [31] 0.02665910 0.02637550 0.02604826 0.02567739 0.02526288 0.02480475
#> [37] 0.02430298 0.02375758 0.02316855 0.02253589 0.02185959 0.02113967
#> [43] 0.02037611 0.01956892 0.01871809 0.00000000 0.00000000 0.00000000
#> [49] 0.00000000 0.00000000
discrete_kernel(kernel = "triang", x = 25, z = 1:50, h = 10, k = 20)
#> [1] 0.00000000 0.00000000 0.00000000 0.00000000 0.01013280 0.01659798
#> [7] 0.02062695 0.02307282 0.02451486 0.02533755 0.02578975 0.02602797
#> [13] 0.02614746 0.02620407 0.02622915 0.02623939 0.02624319 0.02624444
#> [19] 0.02624479 0.02624487 0.02624488 0.02624488 0.02624488 0.02624488
#> [25] 0.02624488 0.02624488 0.02624488 0.02624488 0.02624488 0.02624487
#> [31] 0.02624479 0.02624444 0.02624319 0.02623939 0.02622915 0.02620407
#> [37] 0.02614746 0.02602797 0.02578975 0.02533755 0.02451486 0.02307282
#> [43] 0.02062695 0.01659798 0.01013280 0.00000000 0.00000000 0.00000000
#> [49] 0.00000000 0.00000000
discrete_kernel(kernel = "epanech", x = 25, z = 1:50, h = 20)
#> [1] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.003658537
#> [7] 0.007129456 0.010412758 0.013508443 0.016416510 0.019136961 0.021669794
#> [13] 0.024015009 0.026172608 0.028142589 0.029924953 0.031519700 0.032926829
#> [19] 0.034146341 0.035178236 0.036022514 0.036679174 0.037148218 0.037429644
#> [25] 0.037523452 0.037429644 0.037148218 0.036679174 0.036022514 0.035178236
#> [31] 0.034146341 0.032926829 0.031519700 0.029924953 0.028142589 0.026172608
#> [37] 0.024015009 0.021669794 0.019136961 0.016416510 0.013508443 0.010412758
#> [43] 0.007129456 0.003658537 0.000000000 0.000000000 0.000000000 0.000000000
#> [49] 0.000000000 0.000000000
discrete_kernel(kernel = "binomial", x = 25, z = 1:50, h = 0.5)
#> [1] 3.209642e-42 2.046147e-39 8.348279e-37 2.448133e-34 5.493610e-32
#> [6] 9.806094e-30 1.428888e-27 1.730741e-25 1.765355e-23 1.530563e-21
#> [11] 1.135400e-19 7.238172e-18 3.975427e-16 1.882648e-14 7.681206e-13
#> [16] 2.693223e-11 8.079668e-10 2.060315e-08 4.424256e-07 7.897298e-06
#> [21] 1.150749e-04 1.333823e-03 1.183043e-02 7.541898e-02 3.077094e-01
#> [26] 6.035839e-01 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> [31] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> [36] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> [41] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> [46] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00