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Relative Density-Ratio Estimation for Robust Distribution Comparison
Density ratio Pearson divergence Outlier detection
2011/7/6
Divergence estimators based on direct approximation of density-ratios without going through separate approximation of numerator and denominator densities have been successfully applied to machine lear...
An estimator for the quadratic covariation of asynchronously observed Itô processes with noise: Asymptotic distribution theory
Density estimation Kullback–Leibler divergence
2011/7/6
The article is devoted to the nonparametric estimation of the quadratic covariation of non-synchronously observed It\^o processes in an additive microstructure noise model.
The AEP algorithm for the fast computation of the distribution of the sum of dependent random variables
convolution istribution functions
2011/7/5
We propose a new algorithm to compute numerically the distribution function of the sum of $d$ dependent, non-negative random variables with given joint distribution.
Distribution fitting 13. Analysis of independent, multiplicative effect of factors. Application to effect of essential oils extracts from plant species on bacterial species. Application to factors of antibacterial activity of plant species
factor analysis Negative Binomial distribution Poisson distribution
2011/7/5
A factor effect study was conducted on a set of observations at the contingency of a series of plant species and bacteria species regarding the antibacterial activity of essential oil extracts.
Asymptotic probability distribution of distances between local extrema of error terms of a moving average process
distance between local extremum maximum extrema probability density distribution function average random stochastic moving average
2011/6/20
Consider error terms i of a moving average process MA(q), where
i = Pq
j=0 "i−j and "i - independent identically distributed (i.i.d.) random
variables. We recognize a term i as a local max...
A Poisson Mixed Model with Nonnormal Random Effect Distribution
Count data Generalized log-gamma distribution Multivariate negative binomial distribution Overdispersion Random-effect models
2011/6/17
We propose in this paper a random intercept Poisson model in which the random effect distribution
is assumed to follow a generalized log-gamma (GLG) distribution. We derive the first two moments
for...
Vine copulas as a mean for the construction of high dimensional probability distribution associated to a Markov Network
Copula decomposition t-cherry junction tree Markov network Cherry-wine probability distribution Graphical models
2011/6/17
Building higher-dimensional copulas is generally recognized as a difficult
problem. Regular-vines using bivariate copulas provide a flexible class of high-dimensional
dependency models. In large dim...
Heavy traffic limit theorems for a queue with Poisson ON/OFF long-range dependent sources and general service time distribution
reflecting fractional Brownian motion reflecting Gaussian process longrange dependence queueing process weak convergence
2011/6/21
In Internet environment, traffic flow to a link is typically modeled by superposition of
ON/OFF based sources. During each ON-period for a particular source, packets arrive
according to a Poisson pr...
Stochastic Approximation and Newton's Estimate of a Mixing Distribution
Stochastic approximation empirical Bayes mixture models Lyapunov functions
2011/3/23
Many statistical problems involve mixture models and the need for computationally efficient methods to estimate the mixing distribution has increased dramatically in recent years. Newton [Sankhya Ser....
Risk,VaR,CVaR and their associated Portfolio Optimizations when Asset Returns have a Multivariate Student T Distribution
VaR CVaR Portfolio Optimization VaR Optimization CVaR Optimization Optimisation
2011/3/25
We show how to reduce the problem of computing VaR and CVaR with Student T return distributions to evaluation of analytical functions of the moments. This allows an analysis of the risk properties of ...
Ornstein-Uhlenbeck type processes with heavy distribution tails
Ornstein-Uhlenbeck process heavy tails regular variation rank cor-relation Gauss copula log returns modelling
2011/3/25
We consider a transformed Ornstein-Uhlenbeck process model that can be a good candidate for modelling real-life processes characterized by a combination of time-reverting behaviour with heavy distribu...
Stochastic Approximation and Newton's Estimate of a Mixing Distribution
Stochastic approximation empirical Bayes mixture models Lyapunov functions
2011/3/22
Many statistical problems involve mixture models and the need for computationally efficient methods to estimate the mixing distribution has increased dramatically in recent years. Newton [Sankhya Ser....
Intensive natural distribution as Bernoulli success ratio extension to continuous: enhanced Gaussian, continuous Poisson, and phenomena explanation
Intensive natural distribution as Bernoulli success ratio extension continuous Poisson phenomena explanation
2011/3/18
A new distribution called intensive natural distribution is introduced with the intent of merging statistics and empirical data. Based on the probability derived from the Bernoulli distribution, this ...
Ridge parameter for g-prior distribution in probit mixed models with collinearity
Ridge parameter for g probit mixed models with collinearity g-prior of Zellner
2011/3/18
In the Bayesian variable selection framework, a common prior distribution for the regression coefficients is the g-prior of Zellner (1986). However, there are two standard cases in which the associate...
Fisher information matrix for three-parameter exponentiated-Weibull distribution under type II censoring
Fisher information three-parameter exponentiated Weibull distribution under type II censoring
2011/3/18
This paper considers the three-parameter exponentiated Weibull family under type II censoring. It first graphically illustrates the shape property of the hazard function. Then, it proposes a simple al...