13,301 research outputs found
The Advance in Partial Distribution: A New Mathematical Tool for Economic Management
In this paper, the Partial Distribution (PD) and multivariate Partial Distribution (MPD) are presented in their concepts, properties and applications, and PD is compared with the lognormal and the levy distribution. Though the levy distribution is better to describe the exchange returns in security market on a moderately large volatility range, the lognormal is better in a region of low values of volatility. We shall try to elucidate that Partial Distribution is better than lognormal distribution and levy distribution in many respects, and PD and MPD have some interesting properties which some other probability distributions have not. From PD and MPD, lots of interesting results can be acquired and many interesting economic propositions could be interpreted in analytic way. These properties could describe analytically many of phenomena in economic management better, and the results based on PD and MPD could be applied to solve many problems in economic management.Partial Distribution; multivariate Partial Distribution; mathematical tool, economic management
Inference for a Special Bilinear Time Series Model
It is well known that estimating bilinear models is quite challenging. Many
different ideas have been proposed to solve this problem. However, there is not
a simple way to do inference even for its simple cases. This paper studies the
special bilinear model where is a sequence of i.i.d. random
variables with mean zero. We first give a sufficient condition for the
existence of a unique stationary solution for the model and then propose a
GARCH-type maximum likelihood estimator for estimating the unknown parameters.
It is shown that the GMLE is consistent and asymptotically normal under only
finite fourth moment of errors. Also a simple consistent estimator for the
asymptotic covariance is provided. A simulation study confirms the good finite
sample performance. Our estimation approach is novel and nonstandard and it may
provide a new insight for future research in this direction.Comment: 23 pages, 1 figures, 3 table
Area Spectral Efficiency Analysis and Energy Consumption Minimization in Multi-Antenna Poisson Distributed Networks
This paper aims at answering two fundamental questions: how area spectral
efficiency (ASE) behaves with different system parameters; how to design an
energy-efficient network. Based on stochastic geometry, we obtain the
expression and a tight lower-bound for ASE of Poisson distributed networks
considering multi-user MIMO (MU-MIMO) transmission. With the help of the
lower-bound, some interesting results are observed. These results are validated
via numerical results for the original expression. We find that ASE can be
viewed as a concave function with respect to the number of antennas and active
users. For the purpose of maximizing ASE, we demonstrate that the optimal
number of active users is a fixed portion of the number of antennas. With
optimal number of active users, we observe that ASE increases linearly with the
number of antennas. Another work of this paper is joint optimization of the
base station (BS) density, the number of antennas and active users to minimize
the network energy consumption. It is discovered that the optimal combination
of the number of antennas and active users is the solution that maximizes the
energy-efficiency. Besides the optimal algorithm, we propose a suboptimal
algorithm to reduce the computational complexity, which can achieve near
optimal performance.Comment: Submitted to IEEE Transactions on Wireless Communications, Major
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