Statistical methods for energy consumption modeling have been static for the past three decades. Energy performance is typically modeled with linear regression and presented for interpretation using cumulative sum of residuals (CUSUM) charts. These mature techniques are general purpose, statistically robust, and simple. They suit energy measurement and verification (M&V) for quantifying a few l...

In many processes in real practice at the start-up stages the process parameters are not known a priori and there are no initial samples or data for executing Phase I monitoring and estimating the process parameters. In addition, the practitioners are interested in using one control chart instead of two or more for monitoring location and variability of processes. In this paper, we consider a s...

‎Bucket recursive trees are an interesting and natural‎ ‎generalization of ordinary recursive trees and have a connection‎ to mathematical chemistry‎. ‎In this paper‎, ‎we give the lower and upper bounds for the moment generating‎ ‎function and moments of the multiplicative Zagreb indices in a‎ ‎randomly chosen bucket recursive tree of size $n$ with maximal bucket size $bgeq1$‎. Also, ‎we consi...

in this paper, we propose to extend the hierarchical bivariatehermite interpolant to the spherical case. let $t$ be an arbitraryspherical triangle of the unit sphere $s$ and  let $u$ be a functiondefined over the triangle $t$. for $kin mathbb{n}$, we consider ahermite spherical interpolant problem $h_k$ defined by some datascheme $mathcal{d}_k(u)$ and which admits a unique solution $p_k$in the ...

Background There has been a recent interest in adaptive algorithms to handle sparsity in various signals and systems (Gu et al. 2009; Chen et al. 2009; Babadi et al. 2010; Angelosante et al. 2010; Eksioglu 2011; Eksioglu and Tanc 2011; Kalouptsidis et al. 2011). The idea is to exploit a priori knowledge about sparsity in a signal that needs to be processed for system identification. Several alg...

Most catchment-scale rainfall-runoff models represent as time -invariant such features of the hydrograph as lag to peak, volumetric throughput and recession time constant. While this assumption has been shown to suit many catchment-modelling purposes, it obscures any variation in response characteristics over the range of conditions in which the model is calibrated. The assumption of time invar...

Ever since the development of the Autoregressive Conditional Heteroskedasticity (ARCH) model (Engle, 1982), testing for the presence of ARCH has become a routine diagnostic. One popular method of testing for ARCH is 1 times the R2 from a regression of the squared residuals on p of its lags. This test has been shown to have a lagrange multiplier interpretation and is asymptotically distributed a...

This paper reviews P´olya urn models and their connection to random trees. Basic results are presented, together with proofs that underly the historical evolution of the accompanying thought process. Extensions and generalizations are given according to chronology: • P´olya-Eggenberger’s urn • Bernard Friedman’s urn • Generalized P´olya urns • Extended urn schemes • Invertible urn schemes ...