1,805,561 research outputs found
Making Application Distribution Map of Two Types of Manufacture (Textile and Shoes) and Related Industries Using Microsoft Visual Basic 6.0
At this time, especially Indonesia, the industrial sector should continue to beimproved in line with the rapidly evolving technological developments today in orderto achieve maximum results in an effort to boost the national economy. One way isby conducting effectiveness and efficiency in the presentation of all data andinformation industries.Provision of appropriate information and can be processed in a fast time is needed forinvestors who want to invest in industrial especially yes on the industrial sector ofsmall and medium enterprises (SME).Information on industry data that consists of the location of the provinces, industrytype, the name of the industry, the main products, capacity, contact persons andothers as well as species distribution maps display industry (textiles and shoes) andrelated industries is very useful for investors in making decisions about the industrysuitable to be developed based on the distribution of industries in a region
Transmuted Lindley-Geometric Distribution and its applications
A functional composition of the cumulative distribution function of one
probability distribution with the inverse cumulative distribution function of
another is called the transmutation map. In this article, we will use the
quadratic rank transmutation map (QRTM) in order to generate a flexible family
of probability distributions taking Lindley geometric distribution as the base
value distribution by introducing a new parameter that would offer more
distributional flexibility. It will be shown that the analytical results are
applicable to model real world data.Comment: 20 pages, 6 figures. arXiv admin note: substantial text overlap with
arXiv:1309.326
Value distribution for eigenfunctions of desymmetrized quantum maps
We study the value distribution and extreme values of eigenfunctions for the
``quantized cat map''. This is the quantization of a hyperbolic linear map of
the torus. In a previous paper it was observed that there are quantum
symmetries of the quantum map - a commutative group of unitary operators which
commute with the map, which we called ``Hecke operators''. The eigenspaces of
the quantum map thus admit an orthonormal basis consisting of eigenfunctions of
all the Hecke operators, which we call ``Hecke eigenfunctions''.
In this note we investigate suprema and value distribution of the Hecke
eigenfunctions. For prime values of the inverse Planck constant N for which the
map is diagonalizable modulo N (the ``split primes'' for the map), we show that
the Hecke eigenfunctions are uniformly bounded and their absolute values
(amplitudes) are either constant or have a semi-circle value distribution as N
tends to infinity. Moreover in the latter case different eigenfunctions become
statistically independent. We obtain these results via the Riemann hypothesis
for curves over a finite field (Weil's theorem) and recent results of N. Katz
on exponential sums. For general N we obtain a nontrivial bound on the supremum
norm of these Hecke eigenfunctions
Gibbs flow for approximate transport with applications to Bayesian computation
Let and be two distributions on the Borel space
. Any measurable function
such that if
is called a transport map from to . For any
and , if one could obtain an analytical expression for a
transport map from to , then this could be straightforwardly
applied to sample from any distribution. One would map draws from an
easy-to-sample distribution to the target distribution
using this transport map. Although it is usually impossible to obtain an
explicit transport map for complex target distributions, we show here how to
build a tractable approximation of a novel transport map. This is achieved by
moving samples from using an ordinary differential equation with a
velocity field that depends on the full conditional distributions of the
target. Even when this ordinary differential equation is time-discretized and
the full conditional distributions are numerically approximated, the resulting
distribution of mapped samples can be efficiently evaluated and used as a
proposal within sequential Monte Carlo samplers. We demonstrate significant
gains over state-of-the-art sequential Monte Carlo samplers at a fixed
computational complexity on a variety of applications.Comment: Significantly revised with new methodology and numerical example
On Measure Concentration of Random Maximum A-Posteriori Perturbations
The maximum a-posteriori (MAP) perturbation framework has emerged as a useful
approach for inference and learning in high dimensional complex models. By
maximizing a randomly perturbed potential function, MAP perturbations generate
unbiased samples from the Gibbs distribution. Unfortunately, the computational
cost of generating so many high-dimensional random variables can be
prohibitive. More efficient algorithms use sequential sampling strategies based
on the expected value of low dimensional MAP perturbations. This paper develops
new measure concentration inequalities that bound the number of samples needed
to estimate such expected values. Applying the general result to MAP
perturbations can yield a more efficient algorithm to approximate sampling from
the Gibbs distribution. The measure concentration result is of general interest
and may be applicable to other areas involving expected estimations
Deviations from Gaussianity in deterministic discrete time dynamical systems
In this paper we examine the deviations from Gaussianity for two types of random variable converging to a normal distribution, namely sums of random variables generated by a deterministic discrete time map and a linearly damped variable driven by a deterministic map. We demonstrate how Edgeworth expansions provide a universal description of the deviations from the limiting normal distribution. We derive explicit expressions for these asymptotic expansions and provide numerical evidence of their accuracy
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