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