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1.
Khursheed Alam Kenzo Seo James R. Thompson 《Annals of the Institute of Statistical Mathematics》1971,23(1):365-374
Summary A sequential sampling rule is given for selecting the most probable event from a multinomial distribution withk cells. A random number of observations is taken from the given multinomial distribution at each stage of sampling, where
the number is distributed according to a Poisson distribution with mean λ. The sampling is stopped when the count in any cell
is greater than or equal to a given positive integerN. The cell with the highest count is selected for the most probable event. The mathematical analysis of the problem is simplified
as a result of the statistical independence of the cell frequencies due to the randomization of the sample number. The expected
value of the stage when the sampling terminates is decreasing in λ. The sequential sampling scheme in which one observation
is taken at a time until the highest cell count is equal toN, corresponds to λ→0. A table is given showing some properties of the given selection procedure. 相似文献
2.
3.
A. A. Zinger 《Journal of Mathematical Sciences》1999,93(3):341-348
A new characterization of the Gaussian distribution was given by R. Hudson in 1974. A sharpening and some extensions of this
result are proposed, and connections with other characterizations of the Gaussian distribution are given. Linnik's “ridge
principle” is substantially used. Bibliography: 11 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 228, 1996, pp. 142–153. 相似文献
4.
5.
Uniform Rate of Weak Convergence of the Minimum Contrast Estimator in the Ornstein–Uhlenbeck Process
Jaya P. N. Bishwal 《Methodology and Computing in Applied Probability》2010,12(3):323-334
The paper shows that the distribution of the normalized minimum contrast estimator of the drift parameter in the Ornstein–Uhlenbeck
process observed over [0, T] converges to the standard normal distribution with an uniform error rate of the order O (T
− 1/2). A precise estimate of the constant in the upper bound is also given. 相似文献
6.
A four-variable distribution on permutations is derived, with two dual combinatorial interpretations. The first one includes
the number of fixed points “fix”, the second the so-called “pix” statistic. This shows that the duality between derangements
and desarrangements can be extended to the case of multivariable statistics. Several specializations are obtained, including
the joint distribution of (des, exc), where “des” and “exc” stand for the number of descents and excedances, respectively.
Authors’ addresses: Dominique Foata, Institut Lothaire, 1 rue Murner, F-67000 Strasbourg, France; Guo-Niu Han, Center for
Combinatorics, LPMC, Nankai University, Tianjin 300071, P.R. China; I.R.M.A. UMR 7501, Université Louis Pasteur et CNRS, 7,
rue René-Descartes, F-67084 Strasbourg, France 相似文献
7.
V. N. Baskakov 《Journal of Mathematical Sciences》1996,81(4):2779-2785
A model of a “censored” experiment is formally defined. A functional is proposed which can be considered as an analog of the
empirical distribution. Some properties of this functional are investigated.
Translated fromStatisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 41–51, Perm, 1993. 相似文献
8.
A. Laurinčikas 《Lithuanian Mathematical Journal》1999,39(1):51-57
The joint limit distribution of functions given by Dirichlet series is studied. The necessary and sufficient condition when
this distribution is a product of marginal distributions is found. An example of such Dirichlet series with linear independent
systems of exponents is presented.
Partially supported by the Lithuanian State Science and Studies Foundation.
Vilnius University, Naugarduko 24, 2006 Vilnius; Šiauliai University, P. Višinskio 25, 5419 Šiauliai, Lithuania. Translated
from Lietuvos Matematikos Rinkinys, Vol. 39, No. 1, pp. 65–73, January–March, 1999.
Translated by A. Laurinčikas 相似文献
9.
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distribution has a heavy tail,
i.e., a tail behaviour like t
−ν with 1 < ν ⩽ 2 , so that the mean is finite but the variance is infinite. We prove a heavy-traffic limit theorem for the
distribution of the stationary actual waiting time W. If the tail of the service time distribution is heavier than that of the interarrival time distribution, and the traffic
load a → 1, then W, multiplied by an appropriate ‘coefficient of contraction’ that is a function of a, converges in distribution to the Kovalenko distribution. If the tail of the interarrival time distribution is heavier than
that of the service time distribution, and the traffic load a → 1, then W, multiplied by another appropriate ‘coefficient of contraction’ that is a function of a, converges in distribution to the negative exponential distribution.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
10.
Denis S. Krotov 《Designs, Codes and Cryptography》2011,61(3):315-329
A vertex coloring of a graph is called “perfect” if for any two colors a and b, the number of the color-b neighbors of a color-a vertex x does not depend on the choice of x, that is, depends only on a and b (the corresponding partition of the vertex set is known as “equitable”). A set of vertices is called “completely regular”
if the coloring according to the distance from this set is perfect. By the “weight distribution” of some coloring with respect
to some set we mean the information about the number of vertices of every color at every distance from the set. We study the
weight distribution of a perfect coloring (equitable partition) of a graph with respect to a completely regular set (in particular,
with respect to a vertex if the graph is distance-regular). We show how to compute this distribution by the knowledge of the
color composition over the set. For some partial cases of completely regular sets, we derive explicit formulas of weight distributions.
Since any (other) completely regular set itself generates a perfect coloring, this gives universal formulas for calculating
the weight distribution of any completely regular set from its parameters. In the case of Hamming graphs, we prove a very
simple formula for the weight enumerator of an arbitrary perfect coloring. 相似文献
11.
Sensitivity of Bayes decisions for the success probability for samples from a nonbinomial population
Ashok K. Bansal 《Annals of the Institute of Statistical Mathematics》1982,34(1):143-149
Summary A family of generalised negative binomial distributions is employed to investigate inference robustness of the Bayes estimator
of the unknown parameter of the binomial distribution. A zone of sensitivity for the test of significance is constructed to
forewarn the pro-Jeffreys Bayesians against indiscriminate choice of the probability in favour of the null hypothesis. A few
selected tables are presented to illustrate the effect of relaxation of the ‘binomiality’ assumption. 相似文献
12.
We derive asymptotic expansions for tails of infinite weighted convolutions of some heavy-tailed distributions. Applications
are given to tail expansion of the marginal distribution of ARMA processes, randomly stopped sums, as well as limiting waiting
time distribution.
AMS 2000 Subject Classifications. Primary—62E99, Secondary—41A60, 44A35, 60G50, 60K25 相似文献
13.
A. P. Marukhin 《Mechanics of Composite Materials》2007,43(6):561-572
A method of primers is elaborated which allows one to calculate the distribution function of durability of a composite material
in tension in the reinforcement direction. Integral and differential equations for calculating the probabilities of formation
of primers and destruction of a material caused by their formation are presented. Distribution functions of material strength
for the parameter of Weibull distribution of fiber strength on the interval 2.1 ≤ β
f ≤ 50.1 are calculated. From the functions, the average values and root-mean-square deviations of material strength are found.
The results obtained agree well with calculations by using the structural-imitation simulation. The distribution functions
of material strength with a high precision are approximated by the three-parameter Weibull distributions. The distribution
parameters are approximated by the linear functions of ln (βf).
__________
Translated from Mekhanika Kompozitnykh Materialov, Vol. 43, No. 6, pp. 823–838, November–December, 2007. 相似文献
14.
The charged states and structures of one-acceptor local complexes (OLC) are studied as functions of external potentials for
donor-acceptor systems with low compensations K. The criterion of a two-acceptor local complex (TLC) is formulated. It is
used to derive stochastic equations for self-consistent fluctuating potentials (FP) in the OLC ensemble and to find an expression
for the Fermi level μ(K) of impurity electrons via the one-site distribution of FP. It is shown in the “smeared site” approximation
that the asymptotic behavior of μ(K) for small K is determined by the average size of the TLC and by self-consistent screening
effects in the OLC ensemble.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 3, pp. 452–461, June, 1997. 相似文献
15.
Essam K. Al-Hussaini Nagi S. ABD-El-Hakim 《Annals of the Institute of Statistical Mathematics》1981,33(1):57-66
Summary A bivariate inverse Gaussian (IG) density function is constructed. Relations of the bivariate IG distribution to the normal
and χ2 distributions are established. The corresponding bivariate random walk (RW) density function is obtained. The properties
and behaviour of bivariate IG distribution are studied for large parametric values. Moment estimates of the five parameters
are given and applications are pointed out. A generalization to the multivariate IG distribution is proposed. 相似文献
16.
F. Jolai J. Razmi N. K. M. Rostami 《Central European Journal of Operations Research》2011,19(4):547-569
Integrated production–distribution planning is one of the most important issues in supply chain management (SCM). We consider
a supply chain (SC) network to consist of a manufacturer, with multiple plants, products, distribution centers (DCs), retailers
and customers. A multi-objective linear programming problem for integrating production–distribution, which considers various
simultaneously conflicting objectives, is developed. The decision maker’s imprecise aspiration levels of goals are incorporated
into the model using a fuzzy goal programming approach. Due to complexity of the considered problem we propose three meta-heuristics
to tackle the problem. A simple genetic algorithm and a particle swarm optimization (PSO) algorithm with a new fitness function,
and an improved hybrid genetic algorithm are developed. In order to show the efficiency of the proposed methods, two classes
of problems are considered and their instances are solved using all methods. The obtained results show that the improved hybrid
genetic algorithm gives us the best solutions in a reasonable computational time. 相似文献
17.
A limit theorem with bounds on the rate of convergence is proven. The joint distribution of a fixed number of relative decrements
of the top order statistics from a random sample converges to the limit as the sample size increases if and only if the underlying
distribution is in essence a Pareto. In conjunction with a chi-square test of fit, it provides an asymptotically distribution-free
test of fit to the family of distributions with regularly varying tails at infinity. When the limit distribution holds, rank-size
plots obey Zipf’s law. The test can be used to detect departures from this Zipf–Pareto law.
相似文献
18.
In this study, we formulate and analyze a strategic design model for three-echelon distribution systems with two-level routing
considerations. The key design decisions considered are: the number and locations of distribution centers (DC’s), which big
clients (clients with larger demand) should be included in the first level routing (the routing between plants and DC’s),
the first-level routing between plants, DC’s and big clients, and the second-level routing between DC’s and other clients
not included in the first-level routing. A hybrid genetic algorithm embedded with a routing heuristic is developed to efficiently
find near-optimal solutions. The quality of the solution to a series of small test problems is evaluated—by comparison with
the optimal solution solved using LINGO 9.0. In test problems for which exact solutions are available, the heuristic solution
is within 1% of optimal. At last, the model is applied to design a national finished goods distribution system for a Taiwan
label-stock manufacturer. Through the case study, we find that the inclusion of big clients in the first-level routing in
the analysis leads to a better network design in terms of total logistic costs. 相似文献
19.
Iterative Approximation of Statistical Distributions and Relation to Information Geometry 总被引:1,自引:0,他引:1
The optimal control of stochastic processes through sensor estimation of probability density functions is given a geometric
setting via information theory and the information metric. Information theory identifies the exponential distribution as the
maximum entropy distribution if only the mean is known and the Γ distribution if also the mean logarithm is known. The surface
representing Γ models has a natural Riemannian information metric. The exponential distributions form a one-dimensional subspace
of the two-dimensional space of all Γ distributions, so we have an isometric embedding of the random model as a subspace of
the Γ models. This geometry provides an appropriate structure on which to represent the dynamics of a process and algorithms
to control it. This short paper presents a comparative study on the parameter estimation performance between the geodesic
equation and the B-spline function approximations when they are used to optimize the parameters of the Γ family distributions. In this case,
the B-spline functions are first used to approximate the Γ probability density function on a fixed length interval; then the coefficients
of the approximation are related, through mean and variance calculations, to the two parameters (i.e. μ and β) in Γ distributions.
A gradient based parameter tuning method has been used to produce the trajectories for (μ, β) when B-spline functions are used, and desired results have been obtained which are comparable to the trajectories obtained from
the geodesic equation.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
20.
A timeout scheme is considered for controlling an infinite firstcome, first served overloaded single-server queue. Inthe overload situation, a customer-rejection mechanism is usedfor timing out older customers in the queue, i.e.excluding those who have waited longer than a certain time.Applying level-crossing analysis to an M/E2/1queue, exact analytic expressions of performance such as thedensity and distribution functions of waiting time of the customerswho get served, the mean delay of customers, successful throughput,and goodput are determined for this queue. 相似文献