Critical study of the distribution of rotational velocities of Be stars - I. Deconvolution methods, effects due to gravity darkening, macroturbulence, and binarity

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Table 6

First four moments of the function Φ(u) derived according to different approaches used: Lucy-Richardson; Cranmer with pseudo-Maxwellian, trapezoidal and triangular functions.


Methods	⟨u¹⟩	⟨u²⟩	⟨u³⟩	⟨u⁴⟩	u _max	p%


Φ(u)_LR	0.697	0.501	0.370	0.281	0.684	–


	0.689	0.487	0.351	0.258	0.690	60.0
	0.695	0.497	0.365	0.275	0.691	99.9


	0.696	0.500	0.370	0.279	0.735^*	20.5
	0.696	0.500	0.370	0.279	0.721	99.4

Notes. The last column gives the confidential level at which the Cranmer distributions can be considered parent to the Lucy-Richardson distribution.

^(*)

The parameter given here is the median of the distribution.

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