Comparing Estimation Methods for the FPLD

Table 1

Comparison of FPLD approximations for symmetric distributions.

Model	${\lambda }_1$	${\lambda }_2$	${\lambda }_3$	${\lambda }_4$	${\lambda }_5$	Maxd
Gaussian $(\mathrm{0,1})$	0.00000	1.35921	0.00000	0.13312	0.13312	0.0065
Laplace: $(\mathrm{0,1})$	0.00000	1.32397	0.00000	$-0.09556$	$\mathrm{\hspace{0.17em}\hspace{0.17em}}-0.09556\mathrm{\hspace{0.17em}\hspace{0.17em}}$	0.0957
Student's t: $\nu =2$	0.00000	0.91014	0.00000	$-0.45155$	$\mathrm{\hspace{0.17em}\hspace{0.17em}}-0.45155$	0.0973
Cauchy $(\mathrm{0,1})$	0.00000	0.66267	0.00000	$-0.99250\mathrm{\hspace{0.17em}\hspace{0.17em}}$	$-0.99250$	0.1673
Beta $(\mathrm{0.5,0.5})$	0.00000	1.63202	0.00000	$1.45456\mathrm{\hspace{0.17em}\hspace{0.17em}}$	1.45456	0.0593