This paper studies a class of estimators for the variance parameter of a stationary stochastic process. The estimators are based on L_p norms of standardized time series, and they generalize previously studied estimators due to Schruben. We show that the new estimators have some desirable...

In the aftermath of the financial and sovereign debt crisis, the need for a better understanding of the fiscal and equity implications of national tax policy reforms is greater than ever. National fiscal policies have a significant share in paving the way for economic recovery, fiscal...

Asymptotic confidence interval estimators of the variance parameter \sigma ² = lim_{n - \infty} n Var((1/n) \sum ⁿ_{i = 1} X_i) are described in this paper for observations X₁, X₂,...,X_n from a strictly stationary phi-mixing stochastic process. They are based on asymptotic properties of the...

The subject of the present paper is a simplified model for a symmetric bistable system with memory or delay, the reference model, which in the presence of noise exhibits a phenomenon similar to what is known as stochastic resonance. The reference model is given by a one dimensional parametrized...

This paper estimates the drift parameters in the fractional Vasicek model from a continuous record of observations via maximum likelihood (ML). The asymptotic theory for the ML estimates (MLE) is established in the stationary case, the explosive case, and the boundary case for the entire range...