X. Guyon, "Champs al eatoires sur un r eseau," in Collection Techniques Stochastiques. Paris, France: Masson, 1993. Home/Search Document Not in Database Summary Related Articles Check |
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New Enumerative Results on Two-Dimensional Directed Animals - Bousquet-Mélou (1998) (1 citation) (Correct)
....; Z i 1 ; ZN ) if Z = Z 1 ; ZN ) One proves easily that a cell distribution given by (21) satisfies these identities. Conversely, a theorem of Hammersley and Clifford states that a markovian field such that P (X = x; Y = y) 6= 0 for all x and y can be written as (21) see [17]) Proposition 4.6 Let us consider an irreducible local transition (p 1 ; p 2 ; p 3 ; p 4 ) Its stationary distribution induces a markovian field on L 0 [ L 1 if and only if p 1 p 4 (1 Gamma p 2 ) 1 Gamma p 3 ) p 2 p 3 (1 Gamma p 1 ) 1 Gamma p 4 ) 22) In this case, the stationary ....
X. Guyon, Champs al'eatoires sur un r'eseau. Mod'elisations, statistique et application. Techniques stochastiques, Masson (1993).
Spectral Methods for Nonstationary Spatial Processes - Fuentes (Correct)
....1 Introduction The periodogram, a nonparametric estimate of the spectral density, is a powerful tool for studying the properties of stationary processes observed on a d dimensional lattice. Use and properties of spatial periodograms for stationary processes have been investigated by Stein (1995) Guyon (1982,1992), Ripley (1981) Rosenblatt (1985) and Whittle (1954) among others. Pawitan and O Sullivan (1994) proposed a nonparametric spectral density estimator using a penalized Whittle likelihood for a stationary time series. Guyon (1982) studied the asymptotic properties of various parameter estimation ....
Guyon, X. (1992). Champs al'eatoires sur un r'eseau, Paris: Masson.
On Conditional and Intrinsic Autoregressions - Besag, KOOPERBERG (1995) (26 citations) (Correct)
....through their spectral densities, or equivalently their autocovariance generating functions, and here we provide a brief review for the two dimensional rectangular lattice; see L evy (1948) Whittle (1954) Rosanov (1967) Moran (1973) Besag (1974) Kunsch (1987) Cressie (1991, Ch. 6) and Guyon (1992, Ch. 1) for further details. Generalizations to multivariate site variables are discussed by Kittler Foglein (1984) and Mardia (1988) in the context of multi spectral imaging. There is a simple relationship between the conditional formulation of a stationary autoregression and its ....
....somewhat fortuitously, Besag adopted less fashionable, but here more appropriate, unbiased autocovariances in his calculations. For detailed discussion of parameter estimation and more on boundary effects, see also Besag (1981) Kunsch (1983) Ripley (1988, Ch. 2) Cressie (1991, Ch. 6 7) and Guyon (1992, Ch. 4) 3 Gaussian intrinsic autoregressions 3.1 General formulation It follows from (2.4) that, for the conditional autoregression (2.2) there is an edge in the parameter space where Q i = 0 or, equivalently, fi i = 1, for all i. For the stationary autoregression (2.5) the corresponding ....
Guyon, X. (1992). Champs Al'eatoires sur un R'eseau. Paris: Masson.
New Enumerative Results on Two-Dimensional Directed Animals - Bousquet-Mélou (1998) (1 citation) (Correct)
....; Z i 1 ; ZN ) if Z = Z 1 ; ZN ) One proves easily that a cell distribution given by (21) satisfies these identities. Conversely, a theorem of Hammersley and Clifford states that a markovian field such that P (X = x; Y = y) 6= 0 for all x and y can be written as (21) see [17]) Proposition 4.6 Let us consider an irreducible local transition (p 1 ; p 2 ; p 3 ; p 4 ) Its stationary distribution induces a markovian field on L 0 [ L 1 if and only if p 1 p 4 (1 Gamma p 2 ) 1 Gamma p 3 ) p 2 p 3 (1 Gamma p 1 ) 1 Gamma p 4 ) 22) In this case, the stationary ....
X. Guyon, Champs al'eatoires sur un r'eseau. Mod'elisations, statistique et application. Techniques stochastiques, Masson (1993).
Estimation of Generalized Mixtures and - Its Application In (Correct)
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X. Guyon, "Champs al eatoires sur un r eseau," in Collection Techniques Stochastiques. Paris, France: Masson, 1993.
, 1277-1288. Stein, M. L. (1999a). Predicting random fields.. - Ann Appl Probab (Correct)
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Biometrika, 69, 95--105. Guyon, X. (1992). Champs al'eatoires sur un r'eseau, Paris: Masson.
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