Contextual tensor decomposition by projected alternating least squares
The Wald Confidence Interval for a Binomial p as an Illuminating “Bad” Example
Simulation studies on the estimation of sensitivity and specificity in the absence of a gold standard and with rare positive frequencies
Well-posedness and exponential stability for the logarithmic Lamé system with a time delay
Existence and approximate controllability results for second-order impulsive stochastic neutral differential systems
Degenerate 2D bivariate Appell polynomials: properties and applications
Detecting and correcting for heteroscedasticity in the presence of measurement error
Exponential stability estimates for an axially travelling string damped at one end
Asymptotic normality for $\boldsymbol{m}$-dependent and constrained $\boldsymbol{U}$-statistics, with applications to pattern matching in random strings and permutations
We study (asymmetric)
-statistics based on a stationary sequence of
-dependent variables; moreover, we consider constrained
-statistics, where the defining multiple sum only includes terms satisfying some restrictions on the gaps between indices. Results include a law of large numbers and a central limit theorem, together with results on rate of convergence, moment convergence, functional convergence, and a renewal theory version.
Special attention is paid to degenerate cases where, after the standard normalization, the asymptotic variance vanishes; in these cases non-normal limits occur after a different normalization.
The results are motivated by applications to pattern matching in random strings and permutations. We obtain both new results and new proofs of old results.