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In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under appropriate conditions this sequence has to terminate. In this case the Willmore sur...
Non-linear state space models are a widely-used class of models for biological, economic, and physical processes. Fitting these models to observed data is a difficult inference problem that has no str...
In this note we correct an omission in our paper (Satheesh and Sandhya, 2005) in defining semi-selfdecomposable laws and also show with examples that the marginal distributions of a stationary AR(1)...
This paper describes limiting behaviour of tail empirical process associated with long memory stochastic volatility models. We show that such process has dichoto- mous behaviour, according to an int...
We prove that for a Radernacher sequence (r,) and any sequence of real numbers [ad the inequality holds true.
We define and study the sign-symmetric Dirichlet-type and Liouville-type distributions on n-dimensional space. We give a complete stochastic representation for infinite sequences of random variable...
For partial sums {S,) of a stationary ergodic sequence {X,} with zero mean we find conditions for m ny-'Pr {sup (S Jk) > E ] < m n= 1 k?n in terms of the strong mixing weficients {a,,) and moment...
For strictly stationary random sequences satisfying the "minimal" dependence condition, necessary and sufficient conditions for the weak convergence to the normal law in terms of slow variation in ...
The paper deals with a spectral analysis and prediction of periodically correlated (PC) sequences. In particular, a moving average representation of a predictor is obtained and its coefiicients are ...
Let [Q, 5, P) be a non-atomic probability space. For a given sequence (XJ of random variables we indicate a number of conditions which imply that for any random variable Y there exists a sequence (...

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