Cauchy–Logistic Unit Distribution: Properties and Application in Modeling Data Extremes
Mathematics,
Journal Year:
2025,
Volume and Issue:
13(2), P. 255 - 255
Published: Jan. 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.
Language: Английский
Laplace-Logistic Unit Distribution with Application in Dynamic and Regression Analysis
Vladica Stojanović,
No information about this author
Tanja Jovanović Spasojević,
No information about this author
Mihailo Jovanović
No information about this author
et al.
Published: June 5, 2024
This
manuscript
presents
a
new
two-parameter
unit
stochastic
distribution,
obtained
by
transforming
the
Laplace
using
generalized
logistic
map,
into
interval.
The
distribution
thus
is
named
Laplace-logistic
(abbreviated
LLU)
and
its
basic
properties
are
examined
in
detail.
Also,
procedure
for
estimating
parameters
based
on
quantiles
provided,
along
with
asymptotic
of
estimates
appropriate
numerical
simulation
study.
Finally,
application
LLU
dynamic
regression
analysis
real-world
data
accentuated
"peaks"
"fat"
tails
also
discussed.
Language: Английский
A Flexible Unit Distribution Based on a Half-Logistic Map with Applications in Stochastic Data Modeling
Symmetry,
Journal Year:
2025,
Volume and Issue:
17(2), P. 278 - 278
Published: Feb. 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.
Language: Английский
Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling
Symmetry,
Journal Year:
2024,
Volume and Issue:
16(11), P. 1513 - 1513
Published: Nov. 11, 2024
The
manuscript
deals
with
a
new
unit
distribution
that
depends
on
two
positive
parameters.
itself
was
obtained
from
the
Gumbel
distribution,
i.e.,
by
its
transformation,
using
generalized
logistic
mapping,
into
interval.
In
this
way,
so-called
Gumbel-logistic
(abbr.
GLU)
is
obtained,
and
key
properties,
such
as
cumulative
function,
modality,
hazard
quantile
moment-based
characteristics,
Bayesian
inferences
entropy,
have
been
investigated
in
detail.
Among
others,
it
shown
GLU
unlike
one
which
always
positively
asymmetric,
can
take
both
asymmetric
forms.
An
estimation
of
parameters
based
quantiles,
also
performed,
together
asymptotic
properties
estimates
thus
their
numerical
simulation.
Finally,
has
applied
modeling
empirical
distributions
some
real-world
data
related
to
telecommunications.
Language: Английский