Axioms,
Год журнала:
2023,
Номер
12(4), С. 350 - 350
Опубликована: Апрель 1, 2023
The
choice
of
an
appropriate
regression
model
for
econometric
modeling
minimizes
information
loss
and
also
leads
to
sound
inferences.
In
this
study,
we
develop
four
quantile
models
based
on
trigonometric
extensions
the
unit
generalized
half-normal
distributions
a
bounded
response
variable
defined
interval.
desirable
shapes
these
distributions,
such
as
left-skewed,
right-skewed,
reversed-J,
approximately
symmetric,
bathtub
shapes,
make
them
competitive
responses
with
traits.
maximum
likelihood
method
is
used
estimate
parameters
models,
Monte
Carlo
simulation
results
confirm
efficiency
method.
We
demonstrate
utility
our
by
investigating
relationship
between
OECD
countries’
educational
attainment
levels,
labor
market
insecurity,
homicide
rates.
diagnostics
reveal
that
all
provide
good
fit
data
because
residuals
are
well
behaved.
A
comparative
analysis
shows
best.
However,
sine
(SUGHN)
best
overall.
It
observed
insecurity
rate
have
significant
negative
effects
values
countries.
Journal of Mathematics,
Год журнала:
2022,
Номер
2022(1)
Опубликована: Янв. 1, 2022
In
this
paper,
a
new
modified
Kumaraswamy
distribution
is
proposed,
and
some
of
its
basic
properties
are
presented,
such
as
the
mathematical
expressions
for
moments,
probability
weighted
order
statistics,
quantile
function,
reliability,
entropy
measures.
The
parameter
estimation
done
via
maximum
likelihood
method.
to
show
usefulness
proposed
model,
well‐established
actuarial
measures
value‐at‐risk,
expected‐shortfall,
tail‐value‐at‐risk,
tail‐variance,
tail‐variance‐premium
obtained.
A
simulation
study
carried
out
assess
performance
estimates.
empirical
analysis
that
our
model
better
in
compared
other
competitive
models
related
extended
model.
Thus,
insurance
claim
data
engineering
real‐life
sets
considered
prove
claim.
Axioms,
Год журнала:
2023,
Номер
12(4), С. 350 - 350
Опубликована: Апрель 1, 2023
The
choice
of
an
appropriate
regression
model
for
econometric
modeling
minimizes
information
loss
and
also
leads
to
sound
inferences.
In
this
study,
we
develop
four
quantile
models
based
on
trigonometric
extensions
the
unit
generalized
half-normal
distributions
a
bounded
response
variable
defined
interval.
desirable
shapes
these
distributions,
such
as
left-skewed,
right-skewed,
reversed-J,
approximately
symmetric,
bathtub
shapes,
make
them
competitive
responses
with
traits.
maximum
likelihood
method
is
used
estimate
parameters
models,
Monte
Carlo
simulation
results
confirm
efficiency
method.
We
demonstrate
utility
our
by
investigating
relationship
between
OECD
countries’
educational
attainment
levels,
labor
market
insecurity,
homicide
rates.
diagnostics
reveal
that
all
provide
good
fit
data
because
residuals
are
well
behaved.
A
comparative
analysis
shows
best.
However,
sine
(SUGHN)
best
overall.
It
observed
insecurity
rate
have
significant
negative
effects
values
countries.
