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.
Decision Analytics Journal,
Год журнала:
2024,
Номер
10, С. 100397 - 100397
Опубликована: Янв. 11, 2024
Continuous
formulations
of
new
distributions
defined
on
the
unit
interval
have
gained
attention
because
their
relevance
in
modeling
proportion
data.
We
innovate
this
research
direction
by
combining
logarithmic,
cosine,
and
power
functions
to
create
a
log-cosine-power
cumulative
distribution
function
that
defines
distribution.
The
corresponding
probability
density
has
originality
having
tangent
as
primary
term.
Furthermore,
graphical
analysis
shows
can
produce
truly
attractive
model:
is
capable
in-depth
data
exhibiting
inverted-J,
J,
decreasing-constant-increasing
shapes.
This
demonstrated
using
two
datasets,
results
reveal
it
potential
provide
better
parametric
fit
proportional
than
other
existing
with
support
interval.
AIMS Mathematics,
Год журнала:
2024,
Номер
9(4), С. 10304 - 10332
Опубликована: Янв. 1, 2024
<abstract><p>The
arctan
uniform
distribution
(AUD)
is
a
brand-new
bounded
that
may
be
used
for
modeling
variety
of
existing
real-world
datasets.
Ranked
set
sampling
(RSS)
useful
technique
parameter
estimation
when
accurate
measurement
the
observation
challenging
and/or
expensive.
In
current
study,
estimator
AUD
addressed
based
on
RSS
and
simple
random
(SRS)
techniques.
Some
popular
conventional
estimating
techniques
are
considered.
The
efficiency
produced
estimates
compared
using
Monte
Carlo
simulation.
It
appears
maximum
product
spacing
method
has
an
advantage
in
assessing
quality
proposed
outcomes
our
simulations
both
SRS
comparison
to
from
datasets,
it
can
seen
those
datasets
more
reliable.
This
implies
effective
terms
generating
with
smaller
mean
squared
error.
benefit
design
over
further
supported
by
real
data
results.</p></abstract>
AIMS Mathematics,
Год журнала:
2024,
Номер
9(8), С. 20976 - 21024
Опубликована: Янв. 1, 2024
This
paper
introduced
and
investigated
the
power
unit
inverse
Lindley
distribution
(PUILD),
a
novel
two-parameter
generalization
of
famous
distribution.
Among
its
notable
functional
properties,
corresponding
probability
density
function
can
be
unimodal,
decreasing,
increasing,
or
right-skewed.
In
addition,
hazard
rate
U-shaped,
N-shaped.
The
PUILD
thus
takes
advantage
these
characteristics
to
gain
flexibility
in
analysis
data
compared
former
distribution,
among
others.
From
theoretical
point
view,
many
key
measures
were
determined
under
closed-form
expressions,
including
mode,
quantiles,
median,
Bowley's
skewness,
Moor's
kurtosis,
coefficient
variation,
index
dispersion,
moments
various
types,
Lorenz
Bonferroni
curves.
Some
important
uncertainty
also
calculated,
mainly
through
incomplete
gamma
function.
statistical
part,
estimation
parameters
involved
was
studied
using
fifteen
different
methods,
maximum
likelihood
method.
invariant
property
this
approach
then
used
efficiently
estimate
measures.
simulation
results
presented
support
claim.
significance
underlying
model
several
current
models,
Lindley,
exponentiated
Topp-Leone,
Kumaraswamy,
beta
transformed
illustrated
by
two
applications
real
datasets.
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.
The
generalized
unit
half-logistic
geometric
distribution
(GUHLGD)
is
a
modern
two-parameter
with
attractive
shape
flexibility
for
the
corresponding
probability
density
and
hazard
rate
functions.
Due
to
its
versatility,
it
may
be
used
model
variety
of
current
bounded
real-world
datasets.
On
other
hand,
an
effective
sampling
strategy
both
parametric
non-parametric
inferences
ranked
set
(RSS)
method.
This
article
focuses
on
estimating
parameters
GUHLGD
based
RSS
method
as
well
simple
random
(SRS)
Eleven
traditional
estimation
methods
are
taken
into
consideration,
including
percentile,
Cramér–von
Mises,
maximum
likelihood,
Anderson–Darling,
right-tailed
left-tailed
least
squares,
weighted
minimum
spacing
absolute-log
distance,
product
spacing,
absolute
distance
methods.
A
Monte
Carlo
simulation
employed
compare
performance
resultant
estimates
some
accuracy
measures.
We
draw
conclusion
that,
procedures,
likelihood
methodology
best
option
among
rest
partial
total
ranking
more
efficient
than
others
SRS
Results
from
actual
data
further
support
advantage
design
over
design.
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.
International Journal of Mathematics and Mathematical Sciences,
Год журнала:
2024,
Номер
2024, С. 1 - 14
Опубликована: Фев. 9, 2024
In
this
study,
a
three-parameter
modification
of
the
Burr
XII
distribution
has
been
developed
through
integration
weighted
version
alpha
power
transformation
family
distributions.
This
newly
introduced
model,
termed
modified
power-transformed
distribution,
exhibits
unique
ability
to
effectively
model
decreasing,
right-skewed,
or
unimodal
densities.
The
paper
systematically
elucidates
various
statistical
properties
proposed
distribution.
estimation
parameters
was
obtained
using
maximum
likelihood
estimation.
estimator
evaluated
for
consistency
simulation
studies.
To
gauge
practical
applicability
two
distinct
datasets
have
employed.
Comparative
analyses
involving
six
alternative
distributions
unequivocally
demonstrate
that
provides
better
fit.
Additionally,
noteworthy
extension
is
in
form
location-scale
regression
known
as
log-modified
model.
subsequently
applied
dataset
related
stock
market
liquidity.
findings
underscore
enhanced
fitting
capabilities
comparison
existing
distributions,
providing
valuable
insights
applications
financial
modelling
and
analysis.
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.
International Journal of Mathematics and Mathematical Sciences,
Год журнала:
2024,
Номер
2024(1)
Опубликована: Янв. 1, 2024
Trigonometric
functions
have
gained
considerable
attention
in
recent
studies
for
developing
new
lifetime
distributions.
This
is
due
to
their
parsimonious
framework,
mathematical
tractability,
and
flexibility
of
the
newly
developed
In
this
paper,
Sine‐generated
family
used
create
a
bounded
distribution,
known
as
Sine‐Marshall–Olkin
Topp–Leone
modeling
data
defined
on
unit
interval.
Some
statistical
properties
including
quantile
function,
ordinary
moments,
incomplete
moment‐generating
functions,
inequality
measures,
Rényi
entropy,
probability
weighted
moments
are
derived.
Seven
methods
parameter
estimation,
maximum
likelihood,
least
squares,
moment
product
spacing,
Anderson–Darling,
Cramér–von
Mises
estimators
estimate
parameters
distribution.
The
behavior
obtained
from
estimation
investigated
using
Monte
Carlo
simulation
studies.
results
show
that
asymptotically
efficient
consistent.
distribution
examined
via
fitting
two
proportional
datasets.
fittings
performs
significantly
better
than
competing
Finally,
regression
model
presented
an
alternative
beta
Kumaraswamy
models.
