Cauchy–Logistic Unit Distribution: Properties and Application in Modeling Data Extremes
Mathematics,
Год журнала:
2025,
Номер
13(2), С. 255 - 255
Опубликована: Янв. 14, 2025
This
manuscript
deals
with
a
novel
two-parameter
stochastic
distribution,
obtained
by
transforming
the
Cauchy
using
generalized
logistic
mapping,
into
unit
interval.
In
this
way,
according
to
well-known
properties
of
random
variable
significantly
accentuated
values
at
ends
interval
is
obtained.
Therefore,
proposed
named
Cauchy–logistic
represents
model
that
may
be
suitable
for
modeling
phenomena
and
processes
emphasized
extreme
values.
Key
CLU
distribution
are
examined,
such
as
moments,
entropy,
modality,
symmetry
conditions.
addition,
quantile-based
parameter
estimation
procedure,
an
asymptotic
analysis
thus
estimators,
their
Monte
Carlo
simulation
study
conducted.
Finally,
application
in
some
real-world
data
provided.
Язык: Английский
A Flexible Unit Distribution Based on a Half-Logistic Map with Applications in Stochastic Data Modeling
Symmetry,
Год журнала:
2025,
Номер
17(2), С. 278 - 278
Опубликована: Фев. 11, 2025
In
this
manuscript,
a
new
two-parameter
stochastic
distribution
is
proposed
and
obtained
by
continuous
half-logistic
transformation
of
the
quasi-Lindley
(QL)
to
unit
interval.
The
resulting
distribution,
named
(QHU)
examined
in
terms
its
key
properties,
such
as
asymmetry
conditions,
shape
modality,
moments,
etc.
addition,
dominance
with
respect
parameters
considered,
it
shown
that
QHU
contrast
QL
always
positively
asymmetric,
can
have
both
asymmetric
forms.
are
estimated
maximum
likelihood
(ML)
method,
asymptotic
properties
thusly
estimators
examined.
Finally,
an
application
modeling
some
real-world
phenomena
also
presented.
Язык: Английский