We propose two tests for the equality of covariance matrices between two high-dimensional populations. One test is on the whole variance-covariance matrices, and the other is on offdiagonal sub-matrices which define the covariance between two non-overlapping segments of the high-dimensional...

Motivated by the latest effort to employ banded matrices to estimate a high-dimensional covariance Σ , we propose a test for Σ being banded with possible diverging bandwidth. The test is adaptive to the “large p , small n ” situations without assuming a specific parametric distribution for...

In recent years, the government, of African Countries has assumed major responsibilities for economic reforms and growth. In attempting to describe their economies, economists (policymakers) in many African Countries have applied certain models that are by now widely known: Linear programming...

In this study, a general overview of energy and renewable energy sources available in Australia was introduced, household’s electricity situation in Australia was presented, and focus wind energy was conducted. A theoretical methodology for quantification and costing of selected micro wind...

In this study, wind characteristics and wind energy potential of Armidale, which is a regional rural city (the highest in Australia) in the Northern Tablelands of New South Wales (NSW) are examined and analysed utilizing mean daily wind velocity observations collected during the period 1994 to...

In this study, wind characteristics and wind energy potential of Armidale, which is a regional rural city (the highest in Australia) in the Northern Tablelands of New South Wales (NSW) are examined and analysed utilizing mean daily wind velocity observations collected during the period 1994 to...

This paper discusses and determines the optimization process of sizing a hybrid renewable energy system designed for urban residential buildings in Armidale NSW, Australia. The considered renewable energy system comprises of solar photovoltaic (PV) system and wind turbines as small scale or...

In this study, a handy quick estimate of expected power and cost of micro-scale generation wind turbines is generated for the purpose of simplifying and facilitating the deal of non-specialists with the sophisticated technicalities of micro-scale generation wind turbines technologies and...

The transition density of a diffusion process does not admit an explicit expression in general, which prevents the full maximum likelihood estimation (MLE) based on discretely observed sample paths. Aït-Sahalia [J. Finance 54 (1999) 1361–1395; Econometrica 70 (2002) 223–262] proposed asymptotic...

This paper considers the problem of parameter estimation in a general class of semiparametric models when observations are subject to missingness at random. The semiparametric models allow for estimating functions that are non-smooth with respect to the parameter. We propose a nonparametric...