Broad sets of spectroscopic observations comprising multiple lines represent an excellent
opportunity for diagnostics of the properties of the prominence plasma and the dynamics of
their fine structures. However, they also bring significant challenges when they are compared
with synthetic spectra provided by radiative transfer modeling. In this work, we provide a statistical spectroscopic analysis of a unique dataset of coordinated
prominence observations in the Lyman lines (Lyalpha to Lydelta ) and the Mg ii k and h
lines. The observed data were obtained by the Solar Ultraviolet Measurements of Emitted Radiation
(SUMER) spectrograph on board of the Solar and Heliospheric Observatory (SoHO) satellite and
the Interface Region
Imaging Spectrograph (IRIS) on 22 October 2013. Only a few similar
coordinated datasets of Lyman and Mg ii k and h observations have ever been obtained in prominences
and we present here the first analysis using these two sets of spectral lines. Moreover, for the first
time, we assess the influence of noise on the statistical properties of the studied profile
characteristics. We focus on the following profile characteristics: the shape of the observed line profiles based on
the number of distinct peaks, the integrated line intensity, the center-to-peak
ratio describing the depth of the reversal of two-peaked profiles, and the asymmetry of these peaks. We show that the presence of noise has a negligible effect on the integrated intensity of all observed
lines, but it significantly affects the classification of spectral profiles using the number of distinct peaks,
the reversal depth,
and also the peak asymmetry. We also demonstrate that by taking the influence
of noise into account, we can assess which profile characteristics in which spectral lines are suitable
for diagnostics of different properties of the observed prominence. For example, we show that the
subordinate peaks (peaks below error bars) in the Lyman line profiles are mostly caused by noise,
which means that only the
dominant peaks should be used for statistical analyses or comparisons with synthetic spectra. On the
other hand, in the Mg ii k and h profiles, the key role in the distinction between the
multi peaked profiles with low peaks and the profiles with deep reversals is played
by the dynamics of multiple fine structures located along a line of sight. The complex, multi peaked
profiles are observed in places where multiple fine structures with different line-of-sight velocities
are crossing the line of sight, while the profiles with deep reversals likely correspond to instances
when we observe single fine structures or more fine structures but with similar line-of-sight
velocities. This study allows us to conclude that if we are interested in the diagnostics of the dynamics of
prominence fine structures, the best approach is to use a combination of profile asymmetry in the
Lyman lines together with the complex profiles of Mg ii k and h lines. On the other hand,
if we want to diagnose the temperature and pressure properties of individual prominence fine
structures, we need to focus on the deeply reversed Mg ii k and h lines in combination with
the Lyman lines and to analyze the depth of the central reversal and the integrated intensities.