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On the posterior distribution of classes of random means
Bayesian nonparametrics completely random measures means of randomprobability measures normalized random measures Poisson–Dirichlet process
2010/3/10
The study of properties of mean functionals of random probability measures is an important
area of research in the theory of Bayesian nonparametric statistics. Many results are now known
for random ...
The shortest distance in random multi-type intersection graphs
Intersection graph shortest path branching process approximation Poissonapproximation
2010/3/9
Using an associated branching process as the basis of our approximation, we
show that typical inter-point distances in a multitype random intersection graph
have a defective distribution, which is w...
On a random number of disorders
disorder problem sequential detection optimalstopping Markov process change point double optimal stopping
2010/3/17
We register a random sequence which has the following
properties: it has three segments being the homogeneous Markov processes.
Each segment has his own one step transition probability law and the l...
Exact lower bounds on the exponential moments of Winsorized and truncated random variables
exponential moments exact lower bounds Win-sorization truncation large deviations nonuniform Berry-Esseen bounds
2010/3/9
Exact lower bounds on the exponential moments of min(y,X)
and X I {X < y} are provided given the first two moments of a random
variable X. These bounds are useful in work on large deviations probabi...
On the approximation of mean densities of random closed sets
mean densities random measures stochastic geometry
2010/3/9
Many real phenomena may be modelled as random closed sets in Rd, of different Hausdorff dimensions.
In many real applications, such as fiber processes and n-facets of random tessellations
of dimensi...
Random walks-a sequential approach
Control chart nonparametric smoothing sequential analysis unit roots weighted partial sum process
2010/3/9
In this paper sequential monitoring schemes to detect nonparametric drifts
are studied for the random walk case. The procedure is based on a kernel smoother. As
a by-product we obtain the asymptotic...
A functional limit theorem for partial sums of dependent random variables with infinite variance
convergence in distribution functional limit the-orem GARCH mixing moving average partial sum point processes reg-ular variation
2010/3/9
Under an appropriate regular variation condition, the affinely
normalized partial sums of a sequence of independent and identically dis-
tributed random variables converges weakly to a non-Gaussian ...
The spectrum of kernel random matrices
spectrum kernel random matrices high-dimensional statisticalinference
2010/3/9
We place ourselves in the setting of high-dimensional statistical
inference where the number of variables p in a dataset of interest is
of the same order of magnitude as the number of observations n...
Coherence-Based Performance Guarantees for Estimating a Sparse Vector Under Random Noise
Coherence-Based Performance Guarantees Sparse Vector Random Noise
2010/3/19
We consider the problem of estimating a deterministic
sparse vector x0 from underdetermined measurements
Ax0 + w, where w represents white Gaussian noise and A is
a given deterministic dictionary. ...
A note on weak convergence of random step processes
Weak convergence of semimartingales diffusion process
2010/4/26
First, sufficient conditions are given for a triangular array of random vectors such that the sequence of related random step functions converges towards a (not necessarily time homogeneous) diffusion...
Strong exponential integrability of sums of independent B-valued random vectors
Strong exponential integrability sums of independent B-valued random vectors
2009/9/24
Strong exponential integrability of sums of independent B-valued random vectors。
On boundedness and convergence of some Banach space valued random series
boundedness convergence some Banach space random series
2009/9/24
On boundedness and convergence of some Banach space valued random series。
On the convergence rate in the central limit theorem of some functions of the average of independent random variables
the convergence rate the central limit theorem independent random variables
2009/9/24
This note gives the convergence rate in the central
limit theorem and the random central limit theorem of some
functions of the average of independent random variables.
Palm distribution and limit theorems for random point processes in R(n)
Palm distribution limit theorems random point processes in R(n)
2009/9/24
The paper deals with homogeneous random point processes
in Rn. Our aim is to obtain sufficient conditions for asymptotic
normality of the number of points of a point process P in a ball when the
ra...