This paper is devoted to the study of asymptotic properties of the regression function kernel estimate in the setting of continuous time stationary and ergodic data. More precisely, considering the Nadaraya–Watson type estimator, say m̂T(x), of the l-indexed regression function...

The focus of this paper is on studying an inverse second-order cone quadratic programming problem, in which the parameters in the objective function need to be adjusted as little as possible so that a known feasible solution becomes the optimal one. We formulate this problem as a minimization...

This short note corrects an error (a factor is missing) in two formulas related to L <Superscript>2</Superscript>-limits, established in “Discrete time hedging errors for options with irregular payoffs” by E. Gobet and E. Temam, Finance and Stochastics, 5, 357–367 (<CitationRef CitationID="CR6">2001</CitationRef>). Copyright Springer-Verlag Berlin Heidelberg...</citationref></superscript>

For a skew-normal random sequence, convergence rates of the distribution of its partial maximum to the Gumbel extreme value distribution are derived. The asymptotic expansion of the distribution of the normalized maximum is given under an optimal choice of norming constants. We find that the...

The objective of the paper is to identify and investigate all possible types of asymptotic behavior for the maximum likelihood estimators of the unknown parameters in the second-order linear stochastic ordinary differential equation driven by Gaussian white noise. The emphasis is on the...