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Some discrete exponential dispersion models：Poisson-Tweedie and Hinde-Demetrio classes
Negative binomial distribution overdispersion Poisson mixture Tweedie family unit variance function
2009/2/23
In this paper we investigate two classes of exponential dispersion models (EDMs) for overdispersed count data with respect to the Poisson distribution. The first is a class of Poisson mixture with pos...
Estimation of the spectral density of a homogeneous random stable discrete time field
homogeneous stable fields spectral density estimate
2009/2/23
In earlier papers, 2π-periodic spectral data windows have been used in spectral estimation of discretetime random fields having finite second-order moments. In this paper, we show that 2π-periodic spe...
On the Geometry of Discrete Exponential Families with Application to Exponential Random Graph Models
Geometry Discrete Exponential Families Exponential Random Graph Models
2010/3/17
There has been an explosion of interest in statistical models for analyzing network data, and considerable interest in the class of exponential random graph (ERG) models, especially in connection with...
Alternative parametrizations and reference priors for decomposable discrete graphical models
Clique Conjugate family Contingency table Cut Loglinearmodel Multinomial model Natural exponential family
2010/4/30
For a given discrete decomposable graphical model, we identify several alternative
parametrizations, and construct the corresponding reference priors for
suitable groupings of the parameters. Specif...
Change point estimation for the telegraph process observed at discrete times
discrete observations change point problem volatility regime switch telegraph process
2010/4/29
The telegraph process models a random motion with finite velocity and
it is usually proposed as an alternative to diffusion models. The process
describes the position of a particle moving on the rea...
Parametric estimation for planar random flights observed at discrete times
asymptotic efficiency discretely observed process planarrandom flight inference for stochastic process
2010/4/27
We deal with a planar random flight {(X(t), Y (t)), 0 < t T } observed at n + 1 equidistant times ti = in, i = 0, 1, ..., n. The
aim of this paper is to estimate the unknown value of the parameter...