Performance Analysis of Multihop Underground Magnetic Induction Communication

Magnetic induction (MI) is a promising solution for realizing wireless underground sensor networks (WUSNs) for many applications such as smart agriculture, surveillance, and environmental monitoring. In this study, a practical deployment model for a multihop MI-WUSN was developed, and its end-to-end performance was evaluated in terms of the signal-to-noise ratio, channel capacity, and bit error rate. We considered a multihop MI-WUSN and evaluated its end-to-end statistical performance for two scenarios pertaining to the hop state: (1) independent and identical distribution (IID) and (2) independent and non-identical distribution (INID). We derived analytical expressions for the performance evaluation and analysis of both scenarios by varying the number of hops and channel conditions. Our extensive numerical results show that asymptotic performance bounds can be obtained for the IID of hops. An analysis of the INID of hops yielded practical results that can facilitate decisive optimisation trade-offs and that can help reduce the system design overhead.

Towards a unified analysis of Katcha nominal modifiers

This paper presents a description and analysis of the syntax of nominal modifiers in Katcha. The three main types of nominal modifiers in Katcha, demonstratives, possessive noun phrases and relative clauses, all agree with their head noun in gender, are morphologically marked when their head noun is a peripheral argument of the verb, and can occur in ‘headless’ constructions where there is no overt head noun. In the latter case they have a pronominal interpretation. The paper argues that a unified account of all nominal modifiers can be provided by adopting two premises: firstly, the possessive and relative markers are allomorphs of the proximal demonstrative; secondly, demonstratives in Katcha are pronouns rather than determiners. All nominal modifiers can then be characterized as appositional phrases headed by demonstrative pronouns. This characterization allows the inclusion of the medial and distal pronouns into the system, explaining why they have a different form to all other nominal modifiers, but identical distribution. The final section adds cross-linguistic perspective by discussing the relationship between this analysis of Katcha and the notion of construct state, most familiar in Semitic, but which has been argued to be a concept appropriate to a number of African languages.

The consistency of least-square regularized regression with negative association sequence

In the last few years, many known works in learning theory stepped over the classical assumption that samples are independent and identical distribution and investigated learning performance based on non-independent samples, as mixing sequences (e.g., [Formula: see text]-mixing, [Formula: see text]-mixing, [Formula: see text]-mixing etc.), they derived similar results with the investigation based on classical sample assumption. Negative association (NA) sequence is a kind of significant dependent random variables and plays an important role in non-independent sequences. It is widely applied to various subjects such as probability theory, statistics and stochastic processes. Therefore, it is essential to study the learning performance of learning process for dependent samples drawn from NA process. Obviously, samples in this learning process are not independent and identical distribution. The results in classical learning theory are not applied directly. In this paper, we study the consistency of least-square regularized regression with NA samples. We establish the error bound of least-square regularized regression for NA samples, and prove that the learning rate of least-square regularized regression for NA samples is [Formula: see text], which is tend to [Formula: see text] when [Formula: see text] arbitrarily close to 0, where [Formula: see text] denote the number of the samples. The simulation experiment of convergence rate on NA samples reveals that the least-square regularized regression algorithm for NA samples is consistent. This result generalizes the classical result of independent and identical distribution.

On complete and complete moment convergence for weighted sums of widely orthant dependent random variables

In this article, the complete convergence for weighted sums of widely orthant dependent (WOD, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of WOD random variables is also obtained. The results obtained in the paper generalize some corresponding ones for some dependent random variables.

A corpus-based study of the Latvian debitive vs vajadzēt

A corpus-based study of the two main verbal expressions of necessity in Latvian shows that the much more frequent debitive is commonly used in the present tense without negation while the less frequent vajadzēt is usually found in the subjunctive. An analysis of randomly selected examples of the present, past and future tense and the subjunctive demonstrates an almost identical distribution of deontic and dynamic uses of both modals with respects to grammatical forms without negation. With negation, there is a striking difference between vajadzēt, expressing prohibitions and criticism of past actions, and the debitive, conveying lack of necessity. The article also provides a discussion on how to distinguish between various types of modal meanings in authentic examples from a corpus.