Abstract The paper gives characterizations of the supernorm statistic $$\widehat{N} :\mathcal {P}\rightarrow \mathbb {N}^{+}$$ N ^ : P → + for partitions,...

We define Dumont’s statistic on the symmetric group Sn to be the function dmc: Sn → N which maps a permutation σ to the number of distinct nonzero letters in code(σ). Dumont showed that this statistic is Eulerian. Naturally extending Dumont’s statistic to the rearrangement classes of arbitrary words, we create a generalized statistic which is again Eulerian. As a consequence, we show that for e...

Sample covariance matrices are also of essential importance in multivariate statistical analysis because many test statistics involve their eigenvalues and/or eigenvectors. The typical example is T 2 statistic, which was proposed by Hotelling [2]. We refer to [1] and [3] for various uses of the T 2 statistic. The T 2 statistic, which is the origin of multivariate linear hypothesis tests and the...

abstract evapotranspiration as one of the important elements in agriculture has a considerable role in water resource management. therefore, using a more exact estimation method is an essential step of agricultural development, especially in arid semi-arid area. in this research, in order to exact estimate of garlic evapotranspiration using lysimeteric data, an artificial neural network (ann) m...

This paper presents a new spatial filtering technique for statistical mapping of neuronal sources by using magnetoencephalography data. In addition to the unit-gain constraint and the minimum-variance criterion that can reconstruct the activation magnitude of the targeted source while suppressing the contribution from other sources, the proposed technique exploits a maximum-discrimination crite...

This paper proposes an efficient spectrum sensing scheme for OFDM signal transmitted by the primary user with its Cyclic Prefix Correlation Coefficient (CPCC) based on multi-antenna. Inspired by the Maximum-minimum Eigenvalue Detection (MMED) algorithm, a CPCC-based MMED spectrum sensing algorithm is proposed. This algorithm uses inherent property of Cyclic Prefix (CP) resulting in nonzero corr...

For the analysis of case-parent trio genotyping arrays, copy number variants (CNV) appearing in the offspring that differ from the parental copy numbers are often of interest (de novo CNV). This package defines a statistic, referred to as the minimum distance, for identifying de novo copy number alterations in the offspring. We smooth the minimum distance using the circular binary segmentation ...