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
Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling
Опубликована: Авг. 30, 2024
The
manuscript
deals
with
a
new
two-parameter
unit
stochastic
distribution,
obtained
by
transforming
the
Gumbel
using
generalized
logistic
mapping,
into
interval.
distribution
thus
is
called
Gumbel–Logistic
Unit
(abbr.
GLU)
and
its
key
properties
have
been
investigated
in
detail.
Among
others,
it
shown
that
GLU
unlike
one
which
always
positively
asymmetric,
can
take
both
asymmetric
forms.
Also,
procedure
for
estimating
parameters
based
on
quantiles,
along
asymptotic
of
estimators
study
their
numerical
simulation,
presented.
Finally,
application
modeling
some
real–world
data
related
to
telecommunications
considered.
Язык: Английский
The Multivariate Skewed Log-Birnbaum–Saunders Distribution and Its Associated Regression Model
Mathematics,
Год журнала:
2023,
Номер
11(5), С. 1095 - 1095
Опубликована: Фев. 22, 2023
In
this
article,
a
multivariate
extension
of
the
unit-sinh-normal
(USHN)
distribution
is
presented.
The
new
distribution,
which
obtained
from
conditionally
specified
distributions
methodology,
absolutely
continuous,
and
its
marginal
are
univariate
USHN.
properties
USHN
studied
in
detail,
statistical
inference
carried
out
classical
approach
using
maximum
likelihood
method.
suitable
for
modeling
bounded
data,
especially
(0,1)p
region.
addition,
proposed
extended
to
case
regression
model
and,
latter,
Fisher
information
matrix
derived.
numerical
results
small
simulation
study
two
applications
with
real
data
sets
allow
us
conclude
that
as
well
models,
potentially
useful
analyze
proportions,
rates,
or
indices
when
them
jointly
considering
different
degrees
correlation
may
exist
variables
interest.
Язык: Английский
Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling
Symmetry,
Год журнала:
2024,
Номер
16(11), С. 1513 - 1513
Опубликована: Ноя. 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.
Язык: Английский
Bivariate Unit-Weibull Distribution: Properties and Inference
Mathematics,
Год журнала:
2023,
Номер
11(17), С. 3760 - 3760
Опубликована: Сен. 1, 2023
In
this
article,
we
introduce
a
novel
bivariate
probability
distribution
that
is
absolutely
continuous.
Considering
the
Farlie–Gumbel–Morgenstern
(FGM)
copula
and
unit-Weibull
distribution,
can
obtain
distribution.
We
evaluate
main
properties
of
new
proposal
use
two
estimation
methods
to
estimate
parameter
for
A
brief
Monte
Carlo
simulation
study
conducted
assess
behavior
employed
method
characteristics
estimators.
Ultimately,
as
an
illustration,
real-life
application
presented,
demonstrating
utility
proposal.
Язык: Английский
Regression Models According to Birnbaum-Saunders Distribution
Mohamad Nasim Wafa,
Ziauddin Khan Zia,
Sayed Abdul Moqim Hussaini
и другие.
European Journal of Mathematics and Statistics,
Год журнала:
2023,
Номер
4(6), С. 24 - 30
Опубликована: Ноя. 13, 2023
The
Birnbaum–Saunders
Distribution
(BSD)
is
a
positive
Chile
distribution
that
often
used
to
analyze
life
span
data.
Today,
Birnbaum
Sanders
has
gained
increasing
popularity
in
various
fields
such
as
air
pollution,
business,
earth
sciences,
industry
and
medicine.
BSD
special
model
due
its
specificity.
We
have
presented
some
results
of
reconstructed
version
the
BS
method
generating
random
numbers
from
this
distribution.
This
article
examines
three
regression
models
according
on
Birnbaum-Sanders
first
derived
second
parameter
re-averaging.
third
through
logarithmic
transformation
response
variable.
main
purpose
compare
performance
models.
Finally,
an
example
genuine
data
Язык: Английский