Joint Behaviour of Semirecursive Kernel Estimators of the Location and of the Size of the Mode of a Probability Density Function

Table 1

𝜎	0.3	0.4	0.5	0.7	0.75	1	1.5	2	2.5
𝜃𝑛	−0.002	0.004	0.001	0.003	0.002	0.014	−0.005	−0.009	0.014
𝜃^∗𝑛	0.003	0.005	0.001	0.005	−0.008	0.016	0.003	−0.020	−0.046
𝑏	1.154	1.346	1.805	2.898	3.160	5.218	10.094	17.866	17.405
𝑏^∗	1.166	1.458	1.968	3.300	3.582	5.925	12.943	21.946	23.715
𝜇𝑛	1.335	0.989	0.782	0.564	0.522	0.401	0.263	0.196	0.155
𝜇^∗𝑛	1.312	0.979	0.783	0.562	0.512	0.388	0.269	0.193	0.163
𝑎	0.444	0.399	0.365	0.322	0.315	0.283	0.247	0.224	0.210
𝑎^∗	0.514	0.459	0.420	0.369	0.363	0.327	0.287	0.261	0.246
𝑝	98.7%	97.8%	98.2%	98.4%	97.7%	97.8%	97.5%	97.2%	98.4%
𝑝^∗	98.6%	98.1%	98.4%	98.2%	96.8%	96.6%	96.9%	97.7%	98.2%