On Approaching Normality Through Rectangular Distribution: Industrial Applications to Monitor Electron Gun and File Server Processes
Journal of Statistical Theory and Applications,
Год журнала:
2025,
Номер
unknown
Опубликована: Янв. 8, 2025
Abstract
Normal
probability
distribution
is
central
to
most
statistical
methods
and
their
applications.
In
many
real
scenarios,
the
normality
of
underlying
phenomenon
not
obvious.
However,
a
deeper
investigation
can
lead
through
some
useful
links
among
various
models.
The
current
study
aims
present
one
such
approach
Gaussian
model
by
connecting
it
with
cumulative
function
rectangular
distribution.
Some
characteristics
distribution,
as
quantiles,
are
used
achieve
said
objective.
Further,
derived
distributional
results
have
been
design
mechanism
monitor
real-time
dependent
electron
gun
file
server
processes.
performance
proposed
monitoring
methodology
evaluated
in
terms
signal,
average
run
length,
extra
quadratic
loss
loss.
expressions
for
signal
mathematically
supported
tabular
results.
advocate
usefulness
effectively
real-life
Язык: Английский
Dependent and independent sampling techniques for modeling radiation and failure data
Journal of Radiation Research and Applied Sciences,
Год журнала:
2025,
Номер
18(2), С. 101377 - 101377
Опубликована: Март 1, 2025
Язык: Английский
A new modified Sine-Weibull distribution for modeling medical data with dynamic structures
Journal of Radiation Research and Applied Sciences,
Год журнала:
2025,
Номер
18(2), С. 101427 - 101427
Опубликована: Март 21, 2025
Язык: Английский
Different Estimation Methods for the Unit Xgamma Distribution Using Ranked Set Sampling
Engineering Reports,
Год журнала:
2025,
Номер
7(5)
Опубликована: Май 1, 2025
ABSTRACT
Ranked
set
sampling
(RSS)
is
an
efficient
method
when
ranking
observations
easier
than
precise
measurement.
Unlike
simple
random
(SRS),
RSS
can
reduce
costs.
The
unit
Xgamma
distribution
(UXGD),
defined
over
the
interval
(0,1),
effectively
captures
characteristics
of
negatively
skewed
datasets.
This
study
aims
to
comprehensively
compare
several
estimation
methods,
including
maximum
likelihood,
Anderson‐Darling,
Kolmogorov,
ordinary
least
squares,
Anderson‐Darling
left
tail
second
order,
Cramer‐von‐Mises,
weighted
product
spacing,
right
and
five
types
minimum
spacing
distance
for
UXGD
parameter
under
both
SRS
techniques.
Through
extensive
simulations,
we
evaluate
performance
these
estimators
using
multiple
criteria
designs.
We
rank
based
on
their
schemes.
Simulation
findings
indicate
that
likelihood
methods
are
superior
alternative
approaches
assessing
estimated
quality
SRS,
respectively.
It
interesting
note
datasets,
estimates
revealed
by
our
model
satisfy
consistency
property.
With
increase
in
sample
size,
approach
true
values.
Furthermore,
results
highlight
efficiency
gains
as
evidenced
improved
accuracy
metrics.
Two
real‐world
applications,
COVID‐19
data
from
United
Kingdom
France,
demonstrate
practical
utility
findings.
Язык: Английский
Estimation methods based on ranked set sampling for the power logarithmic distribution
Scientific Reports,
Год журнала:
2024,
Номер
14(1)
Опубликована: Июль 31, 2024
Abstract
The
sample
strategy
employed
in
statistical
parameter
estimation
issues
has
a
major
impact
on
the
accuracy
of
estimates.
Ranked
set
sampling
(RSS)
is
highly
helpful
technique
for
gathering
data
when
it
difficult
or
impossible
to
quantify
units
population.
A
bounded
power
logarithmic
distribution
(PLD)
been
proposed
recently,
and
may
be
used
describe
many
real-world
sets.
In
current
work,
three
parameters
PLD
are
estimated
using
RSS
technique.
number
conventional
estimators
maximum
likelihood,
minimum
spacing
absolute
log-distance,
square
distance,
Anderson-Darling,
product
spacings,
least
squares,
Cramer-von-Mises,
log
Linex
distance
investigated.
different
estimates
via
compared
with
their
simple
random
(SRS)
counterparts.
We
found
that
estimate
appears
best
option
based
our
simulation
results
SRS
Estimates
generated
from
sets
less
efficient
than
those
derived
usefulness
also
investigated
by
means
real
example.
Язык: Английский
Optimal Estimation of Power Chris-Jerry DistributionParameters Using Ranked Set Sampling Design withApplication
Research Square (Research Square),
Год журнала:
2024,
Номер
unknown
Опубликована: Май 21, 2024
Abstract
Effective
sample
design
has
a
major
role
in
the
quality
of
parameter
estimation
statisticalparameter
issues.
The
ranking
set
sampling
(RSS)
strategy
is
effective
and
less
costlyoption
than
simple
random
(SRS).
A
novel
mixture
continuous
lifetime
distribution
thathas
been
proposed
recently
power
Chris-Jerry
(PC-JD).
It
useful
for
modelinga
number
real
data
sets.
This
paper
investigates
RSS
approach
estimating
PC-JD’sparameters.
There
are
roughly
sixteen
different
techniques
that
used,
such
as
themaximum
likelihood
method,
percentiles
some
methods
based
on
minimum
distance,the
Kolmogorov
maximum
spacing
distances.
Incomparison
to
SRS,
simulation
research
assesses
performance
suggested
RSS-basedestimates
terms
measures
accuracy.
To
identify
optimal
strategy,
thepartial
overall
ranks
many
estimates
shown.
According
numerical
results,
maximumlikelihood
seems
be
quite
beneficial
evaluating
estimated
SRS.RSS
more
SRS
owing
its
better
efficiency.
Additionally,
thedifferent
with
survival
both
examined
Язык: Английский
Survival analysis based on an enhanced Rayleigh-inverted Weibull model
Heliyon,
Год журнала:
2024,
Номер
10(16), С. e35851 - e35851
Опубликована: Авг. 1, 2024
This
study
proposes
a
two-parameter
survival
model
based
on
the
Kavya-Manoharan
transformation
family
and
Rayleigh-inverted
Weibull
distribution,
so-called
Kavya-Manoharan-Rayleigh
inverted
distribution
(KMRIWD).
Various
reliability
measures
statistical
properties
of
this
are
analyzed.
The
parameters
estimated
using
maximum
likelihood
method
different
sampling
techniques.
Using
Monte
Carlo
simulations,
performance
estimators
is
evaluated
compared.
Finally,
numerous
competitors
compared
real
data
sets,
it
shown
that
KMRIWD
has
better
fit
than
all
competitors.
Язык: Английский