On weighted cumulative past (residual) inaccuracy for record values

Journal of Inequalities and Applications

Table 1 Numerical values of \(\mathbb{E}[\hat{I}^{w}(F_{L_{n}},F)]\) and \(\operatorname{Var}[\hat{I}^{w}(F_{L_{n}},F)]\) for Weibull distribution

m	n = 2			n = 3			n = 4			n = 5
m	λ = 0.5	λ = 1	λ = 2	λ = 0.5	λ = 1	λ = 2	λ = 0.5	λ = 1	λ = 2	λ = 0.5	λ = 1	λ = 2
	\(\mathbb{E}[\hat{I}^{w}(F_{L_{n}},F)] \)
10	0.196	0.098	0.049	0.239	0.120	0.060	0.261	0.131	0.065	0.271	0.135	0.068
15	0.134	0.067	0.033	0.165	0.082	0.041	0.181	0.090	0.045	0.189	0.094	0.047
20	0.102	0.051	0.025	0.125	0.063	0.031	0.138	0.069	0.034	0.145	0.072	0.036
	\(\operatorname{Var}[\hat{I}^{w}(F_{L_{n}},F)]\)
10	0.063	0.016	0.004	0.072	0.018	0.004	0.076	0.019	0.005	0.077	0.019	0.005
15	0.043	0.011	0.002	0.050	0.012	0.003	0.053	0.013	0.003	0.054	0.014	0.003
20	0.033	0.008	0.002	0.038	0.009	0.002	0.041	0.010	0.002	0.042	0.010	0.003