1kernel=Normal
2kernel bandwidth=[0.6819, 1.141]
3mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
4covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
5Point= class=Point name=Unnamed dimension=2 values=[0,0]
6 pdf(smoothed)= 0.0258 pdf(exact)=0.02805
7 cdf(smoothed)= 0.2719 cdf(exact)=0.3055
8kernel=Epanechnikov
9kernel bandwidth=[1.525, 2.551]
10mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
11covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
12Point= class=Point name=Unnamed dimension=2 values=[0,0]
13 pdf(smoothed)= 0.02593 pdf(exact)=0.02805
14 cdf(smoothed)= 0.272 cdf(exact)=0.3055
15kernel=Uniform
16kernel bandwidth=[1.181, 1.976]
17mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
18covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
19Point= class=Point name=Unnamed dimension=2 values=[0,0]
20 pdf(smoothed)= 0.02464 pdf(exact)=0.02805
21 cdf(smoothed)= 0.2724 cdf(exact)=0.3055
22kernel=Triangular
23kernel bandwidth=[1.67, 2.794]
24mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
25covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
26Point= class=Point name=Unnamed dimension=2 values=[0,0]
27 pdf(smoothed)= 0.02557 pdf(exact)=0.02805
28 cdf(smoothed)= 0.2721 cdf(exact)=0.3055
29kernel=Logistic
30kernel bandwidth=[0.3759, 0.6289]
31mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
32covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
33Point= class=Point name=Unnamed dimension=2 values=[0,0]
34 pdf(smoothed)= 0.0257 pdf(exact)=0.02805
35 cdf(smoothed)= 0.2719 cdf(exact)=0.3055
36kernel=Beta
37kernel bandwidth=[1.525, 2.551]
38mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
39covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
40Point= class=Point name=Unnamed dimension=2 values=[0,0]
41 pdf(smoothed)= 0.02593 pdf(exact)=0.02805
42 cdf(smoothed)= 0.272 cdf(exact)=0.3055
43kernel=Beta
44kernel bandwidth=[1.804, 3.018]
45mean(smoothed)=[0.5754, -0.4124] mean(exact)=[0.5, -0.5]
46covariance(smoothed)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.259,2.771,2.771,9.818] covariance(exact)=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
47Point= class=Point name=Unnamed dimension=2 values=[0,0]
48 pdf(smoothed)= 0.02591 pdf(exact)=0.02805
49 cdf(smoothed)= 0.2719 cdf(exact)=0.3055
50kernel=Normal
51Silverman's bandwidth=0.3047 plugin bandwidth=0.3019 mixed bandwidth=0.3093
52Bounded underlying distribution? False bounded reconstruction? False
53 pdf(smoothed)= 0.2712 pdf(exact)=0.2661
54 cdf(smoothed)= 0.2088 cdf(exact)=0.1841
55Bounded underlying distribution? False bounded reconstruction? True
56 pdf(smoothed)= 0.2712 pdf(exact)=0.2661
57 cdf(smoothed)= 0.2088 cdf(exact)=0.1841
58Silverman's bandwidth=0.3903 plugin bandwidth=0.1421 mixed bandwidth=0.134
59Bounded underlying distribution? True bounded reconstruction? False
60 pdf(smoothed)= 0.477 pdf(exact)=0.5977
61 cdf(smoothed)= 0.08157 cdf(exact)=0.08521
62Bounded underlying distribution? True bounded reconstruction? True
63 pdf(smoothed)= 0.6495 pdf(exact)=0.5977
64 cdf(smoothed)= 0.06748 cdf(exact)=0.08521
65kernel=Epanechnikov
66Silverman's bandwidth=0.6813 plugin bandwidth=0.6751 mixed bandwidth=0.6917
67Bounded underlying distribution? False bounded reconstruction? False
68 pdf(smoothed)= 0.2693 pdf(exact)=0.2661
69 cdf(smoothed)= 0.2091 cdf(exact)=0.1841
70Bounded underlying distribution? False bounded reconstruction? True
71 pdf(smoothed)= 0.2693 pdf(exact)=0.2661
72 cdf(smoothed)= 0.2091 cdf(exact)=0.1841
73Silverman's bandwidth=0.8727 plugin bandwidth=0.3177 mixed bandwidth=0.2996
74Bounded underlying distribution? True bounded reconstruction? False
75 pdf(smoothed)= 0.4539 pdf(exact)=0.5977
76 cdf(smoothed)= 0.08151 cdf(exact)=0.08521
77Bounded underlying distribution? True bounded reconstruction? True
78 pdf(smoothed)= 0.65 pdf(exact)=0.5977
79 cdf(smoothed)= 0.06633 cdf(exact)=0.08521
80kernel=Uniform
81Silverman's bandwidth=0.5277 plugin bandwidth=0.5229 mixed bandwidth=0.5358
82Bounded underlying distribution? False bounded reconstruction? False
83 pdf(smoothed)= 0.28 pdf(exact)=0.2661
84 cdf(smoothed)= 0.2095 cdf(exact)=0.1841
85Bounded underlying distribution? False bounded reconstruction? True
86 pdf(smoothed)= 0.28 pdf(exact)=0.2661
87 cdf(smoothed)= 0.2095 cdf(exact)=0.1841
88Silverman's bandwidth=0.676 plugin bandwidth=0.2461 mixed bandwidth=0.2321
89Bounded underlying distribution? True bounded reconstruction? False
90 pdf(smoothed)= 0.4308 pdf(exact)=0.5977
91 cdf(smoothed)= 0.08126 cdf(exact)=0.08521
92Bounded underlying distribution? True bounded reconstruction? True
93 pdf(smoothed)= 0.6391 pdf(exact)=0.5977
94 cdf(smoothed)= 0.06555 cdf(exact)=0.08521
95kernel=Triangular
96Silverman's bandwidth=0.7463 plugin bandwidth=0.7395 mixed bandwidth=0.7577
97Bounded underlying distribution? False bounded reconstruction? False
98 pdf(smoothed)= 0.2675 pdf(exact)=0.2661
99 cdf(smoothed)= 0.2089 cdf(exact)=0.1841
100Bounded underlying distribution? False bounded reconstruction? True
101 pdf(smoothed)= 0.2675 pdf(exact)=0.2661
102 cdf(smoothed)= 0.2089 cdf(exact)=0.1841
103Silverman's bandwidth=0.956 plugin bandwidth=0.348 mixed bandwidth=0.3282
104Bounded underlying distribution? True bounded reconstruction? False
105 pdf(smoothed)= 0.4652 pdf(exact)=0.5977
106 cdf(smoothed)= 0.08182 cdf(exact)=0.08521
107Bounded underlying distribution? True bounded reconstruction? True
108 pdf(smoothed)= 0.6463 pdf(exact)=0.5977
109 cdf(smoothed)= 0.06694 cdf(exact)=0.08521
110kernel=Logistic
111Silverman's bandwidth=0.168 plugin bandwidth=0.1665 mixed bandwidth=0.1706
112Bounded underlying distribution? False bounded reconstruction? False
113 pdf(smoothed)= 0.2702 pdf(exact)=0.2661
114 cdf(smoothed)= 0.2087 cdf(exact)=0.1841
115Bounded underlying distribution? False bounded reconstruction? True
116 pdf(smoothed)= 0.2702 pdf(exact)=0.2661
117 cdf(smoothed)= 0.2087 cdf(exact)=0.1841
118Silverman's bandwidth=0.2152 plugin bandwidth=0.07832 mixed bandwidth=0.07388
119Bounded underlying distribution? True bounded reconstruction? False
120 pdf(smoothed)= 0.4942 pdf(exact)=0.5977
121 cdf(smoothed)= 0.08149 cdf(exact)=0.08521
122Bounded underlying distribution? True bounded reconstruction? True
123 pdf(smoothed)= 0.6503 pdf(exact)=0.5977
124 cdf(smoothed)= 0.06831 cdf(exact)=0.08521
125kernel=Beta
126Silverman's bandwidth=0.6813 plugin bandwidth=0.6751 mixed bandwidth=0.6917
127Bounded underlying distribution? False bounded reconstruction? False
128 pdf(smoothed)= 0.2693 pdf(exact)=0.2661
129 cdf(smoothed)= 0.2091 cdf(exact)=0.1841
130Bounded underlying distribution? False bounded reconstruction? True
131 pdf(smoothed)= 0.2693 pdf(exact)=0.2661
132 cdf(smoothed)= 0.2091 cdf(exact)=0.1841
133Silverman's bandwidth=0.8727 plugin bandwidth=0.3177 mixed bandwidth=0.2996
134Bounded underlying distribution? True bounded reconstruction? False
135 pdf(smoothed)= 0.4539 pdf(exact)=0.5977
136 cdf(smoothed)= 0.08151 cdf(exact)=0.08521
137Bounded underlying distribution? True bounded reconstruction? True
138 pdf(smoothed)= 0.65 pdf(exact)=0.5977
139 cdf(smoothed)= 0.06633 cdf(exact)=0.08521
140kernel=Beta
141Silverman's bandwidth=0.8061 plugin bandwidth=0.7988 mixed bandwidth=0.8185
142Bounded underlying distribution? False bounded reconstruction? False
143 pdf(smoothed)= 0.2702 pdf(exact)=0.2661
144 cdf(smoothed)= 0.2089 cdf(exact)=0.1841
145Bounded underlying distribution? False bounded reconstruction? True
146 pdf(smoothed)= 0.2702 pdf(exact)=0.2661
147 cdf(smoothed)= 0.2089 cdf(exact)=0.1841
148Silverman's bandwidth=1.033 plugin bandwidth=0.3759 mixed bandwidth=0.3545
149Bounded underlying distribution? True bounded reconstruction? False
150 pdf(smoothed)= 0.4615 pdf(exact)=0.5977
151 cdf(smoothed)= 0.08159 cdf(exact)=0.08521
152Bounded underlying distribution? True bounded reconstruction? True
153 pdf(smoothed)= 0.6495 pdf(exact)=0.5977
154 cdf(smoothed)= 0.0667 cdf(exact)=0.08521
155with low  bin count, pdf=0.367
156with high bin count, pdf=0.3673
157without   binning,   pdf=0.3673
158with no boundary correction, pdf(left)=0.4125, pdf(right)=0.3749
159with automatic lower boundary correction, pdf(left)=0.5426, pdf(right)=0.3749
160with user defined lower boundary correction, pdf(left)=0.534, pdf(right)=0.3749
161with automatic upper boundary correction, pdf(left)=0.4125, pdf(right)=0.4963
162with user defined upper boundary correction, pdf(left)=0.4125, pdf(right)=0.4958
163with automatic boundaries correction, pdf(left)=0.5426, pdf(right)=0.4963
164with user defined lower/automatic upper boundaries correction, pdf(left)=0.534, pdf(right)=0.4963
165with automatic lower/user defined upper boundaries correction, pdf(left)=0.5426, pdf(right)=0.4958
166with user defined boundaries correction, pdf(left)=0.534, pdf(right)=0.4958
167