The log-cosine-power unit distribution: A new unit distribution for proportion data analysis
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.
Язык: Английский
A Statistical Framework for a New two-parameter Unit Bilal Distribution with Application to Model Asymmetric Data
Heliyon,
Год журнала:
2024,
Номер
unknown, С. e38340 - e38340
Опубликована: Сен. 1, 2024
Язык: Английский
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications
Fractal and Fractional,
Год журнала:
2023,
Номер
7(5), С. 386 - 386
Опубликована: Май 6, 2023
The
continuous
Bernoulli
distribution
is
defined
on
the
unit
interval
and
has
a
unique
property
related
to
fractiles.
A
fractile
position
probability
density
function
where
corresponding
surface
fixed
proportion.
This
article
presents
derivation
of
properties
formulates
or
quantile
regression
model
for
response
using
exponentiated
distribution.
Monte
Carlo
simulation
studies
evaluate
performance
point
estimators
both
model.
Real-world
datasets
from
science
education
are
analyzed
illustrate
modeling
abilities
Язык: Английский
Quasi-Cauchy Regression Modeling for Fractiles Based on Data Supported in the Unit Interval
Fractal and Fractional,
Год журнала:
2023,
Номер
7(9), С. 667 - 667
Опубликована: Сен. 4, 2023
A
fractile
is
a
location
on
probability
density
function
with
the
associated
surface
being
proportion
of
such
function.
The
present
study
introduces
novel
methodological
approach
to
modeling
data
within
continuous
unit
interval
using
or
quantile
regression.
This
has
unique
advantage
as
it
allows
for
direct
interpretation
response
variable
in
relation
explanatory
variables.
new
provides
robustness
against
outliers
and
permits
heteroscedasticity
be
modeled,
making
tool
analyzing
datasets
diverse
characteristics.
Importantly,
our
does
not
require
assumptions
about
distribution
variable,
offering
increased
flexibility
applicability
across
variety
scenarios.
Furthermore,
addresses
mitigates
criticisms
limitations
inherent
existing
methodologies,
thereby
giving
an
improved
framework
interval.
We
validate
effectiveness
introduced
two
empirical
applications,
which
highlight
its
practical
utility
superior
performance
real-world
settings.
Язык: Английский
A new quantile regression model with application to human development index
Computational Statistics,
Год журнала:
2023,
Номер
39(6), С. 2925 - 2948
Опубликована: Сен. 22, 2023
Язык: Английский
Enhancing Software Cost Estimation using COCOMO Cost Driver Features with Battle Royale Optimization and Quantum Ensemble Meta-Regression Technique
2022 13th International Conference on Computing Communication and Networking Technologies (ICCCNT),
Год журнала:
2023,
Номер
unknown, С. 1 - 6
Опубликована: Июль 6, 2023
This
research
suggests
a
unique
method
for
improving
software
cost
estimates
by
combining
Battle
Royale
Optimisation
(BRO)
and
Quantum
Ensemble
Meta-Regression
Technique
(QEMRT)
with
COCOMO
driver
characteristics.
The
strengths
of
these
three
strategies
are
combined
in
the
suggested
strategy
to
increase
accuracy
estimation.
model
is
popular
cost-estimating
methodology
that
considers
several
factors.
BRO
metaheuristic
algorithm
mimics
process
fittest
people
being
selected
naturally
was
inspired
video
game.
benefits
quantum
computing
ensemble
learning
machine
approach
known
as
QEMRT.
Using
correlation-based
feature
selection
technique,
we
first
identified
most
important
drivers
our
study.
To
get
best-fit
model,
then
used
optimize
weights
drivers.
further
estimation's
accuracy,
QEMRT
utilized
meta-regress
optimized
model.
tested
on
two
datasets
estimating
available
public,
outcomes
were
compared
other
cutting-edge
approaches.
experimental
findings
demonstrated
beat
approaches
terms
robustness,
stability.
In
conclusion,
offers
viable
estimation,
which
might
help
development
organizations
project
planning
resource
allocation.
Язык: Английский
Inference Based on the Stochastic Expectation Maximization Algorithm in a Kumaraswamy Model with an Application to COVID-19 Cases in Chile
Mathematics,
Год журнала:
2023,
Номер
11(13), С. 2894 - 2894
Опубликована: Июнь 28, 2023
Extensive
research
has
been
conducted
on
models
that
utilize
the
Kumaraswamy
distribution
to
describe
continuous
variables
with
bounded
support.
In
this
study,
we
examine
trapezoidal
model.
Our
objective
is
propose
a
parameter
estimation
method
for
model
using
stochastic
expectation
maximization
algorithm,
which
effectively
tackles
challenges
commonly
encountered
in
traditional
algorithm.
We
then
apply
our
results
modeling
of
daily
COVID-19
cases
Chile.
Язык: Английский
Advanced Mathematical Approaches in Psycholinguistic Data Analysis: A Methodological Insight
Fractal and Fractional,
Год журнала:
2023,
Номер
7(9), С. 670 - 670
Опубликована: Сен. 5, 2023
In
the
evolving
landscape
of
psycholinguistic
research,
this
study
addresses
inherent
complexities
data
through
advanced
analytical
methodologies,
including
permutation
tests,
bootstrap
confidence
intervals,
and
fractile
or
quantile
regression.
The
methodology
philosophy
our
approach
deeply
resonate
with
fractal
fractional
concepts.
Responding
to
skewed
distributions
data,
which
are
observed
in
metrics
such
as
reading
times,
time-to-response,
time-to-submit,
analysis
highlights
nuanced
interplay
between
time-to-response
variables
like
lists,
conditions,
plausibility.
A
particular
focus
is
placed
on
implausible
sentence
response
showcasing
precision
chosen
methods.
underscores
profound
influence
individual
variability,
advocating
for
meticulous
rigor
handling
intricate
complex
datasets.
Drawing
inspiration
from
mathematics,
findings
emphasize
broader
potential
sophisticated
mathematical
tools
contemporary
setting
a
benchmark
future
investigations
psycholinguistics
related
disciplines.
Язык: Английский