Super-resolution estimation of cyclic arrival rates
The Annals of Statistics,
Год журнала:
2019,
Номер
47(3)
Опубликована: Фев. 13, 2019
Exploiting
the
fact
that
most
arrival
processes
exhibit
cyclic
behaviour,
we
propose
a
simple
procedure
for
estimating
intensity
of
nonhomogeneous
Poisson
process.
The
estimator
is
super-resolution
analogue
to
Shao
(2010)
and
Lii
[J.
R.
Stat.
Soc.
Ser.
B.
Methodol.
73
(2011)
99–122],
which
sum
$p$
sinusoids
where
amplitude
phase
each
wave
are
not
known
need
be
estimated.
This
results
in
an
interpretable
yet
flexible
specification
suitable
use
modelling
as
well
high
resolution
simulations.
Our
estimation
sits
between
classic
periodogram
methods
atomic/total
variation
norm
thresholding.
Through
novel
window
functions
point
process
domain,
our
approach
attains
without
semidefinite
programming.
Under
conditions,
finite
sample
guarantees
can
derived
procedure.
These
resolve
some
open
questions
expand
existing
spectral
literature.
Язык: Английский
Statistical Theory Powering Data Science
Statistical Science,
Год журнала:
2019,
Номер
34(4)
Опубликована: Ноя. 1, 2019
Statisticians
are
finding
their
place
in
the
emerging
field
of
data
science.
However,
many
issues
considered
“new”
science
have
long
histories
statistics.
Examples
using
statistical
thinking
illustrated,
which
range
from
exploratory
analysis
to
measuring
uncertainty
accommodating
nonrandom
samples.
These
examples
then
applied
service
networks,
baseball
predictions
and
official
Язык: Английский
Stochastic models on the transmission of novel COVID-19
International Journal of Systems Assurance Engineering and Management,
Год журнала:
2021,
Номер
13(2), С. 599 - 603
Опубликована: Сен. 6, 2021
Язык: Английский
Super-resolution Estimation of Cyclic Arrival Rates
SSRN Electronic Journal,
Год журнала:
2016,
Номер
unknown
Опубликована: Янв. 1, 2016
Exploiting
the
fact
that
most
arrival
processes
exhibit
cyclic
behaviour,
we
propose
a
simple
procedure
for
estimating
intensity
of
non-homogeneous
Poisson
process.
The
estimator
is
super-resolution
analogue
to
Shao
2010
and
&
Lii
2011,
which
sum
p
sinusoids
where
frequency,
amplitude,
phase
each
wave
are
not
known
need
be
estimated.
This
results
in
an
interpretable
yet
flexible
specification
suitable
use
modelling
as
well
high
resolution
simulations.Our
estimation
sits
between
classic
periodogram
methods
atomic/total
variation
norm
thresholding.
Through
novel
window
functions
point
process
domain,
our
approach
attains
without
semidefinite
programming.
Under
conditions,
finite
sample
guarantees
can
derived
procedure.
These
resolve
some
open
questions
expand
existing
spectral
literature.
Язык: Английский
Business Analytics in Service Operations
SSRN Electronic Journal,
Год журнала:
2020,
Номер
unknown
Опубликована: Янв. 1, 2020
We
present
an
expanded
framework
for
the
use
of
business
analytics
in
projects.
To
commonly
used
descriptive,
predictive,
and
prescriptive
analytics,
we
add
comparative
wherein
compare
performance
systems
under
different
interventions.
This
provides
a
conceptual
roadmap
implementation
then
demonstrate
this
using
recent
operations
research
literature
on
healthcare,
summarizing
papers
focusing
one
these
aspects.
Next,
discuss
queue
mining
as
example
theory
practice
illustrative
conclude
there
is
room
further
work
by
researchers
management
scientists
within
projects
generally
healthcare
industry
more
specifically.
argue
future
should
consider
both
practice,
especially
projects,
where
analysis
through
lens
science
imperative.
provide
some
thoughts
current
state
analytics.
Язык: Английский