Expressions for bit error probability

The bit error probability (BEP) for many wireless communications networks can be expressed in the form R = Pr (X₂ < X₁) where X₁ and X₂ are independent random variables. Here, a comprehensive collection of formulas is derived for R by assuming the most commonly known models for X₁ and X₂. A discussion is provided of four possible applications to problems in wireless communications. Copyright © 2007 John Wiley & Sons, Ltd.     

Statistical distribution of the measure of coherence

The recent papers by Miranda de Sa et al. (2001) and Miranda de Sa (2004) proposed a new measure of coherence between two signals. In this paper, we derive the exact probability density function and moments of the measure. We also provide simple programs for computing the associated cumulative distribution function and percentile points as well as for generating random samples of the measure.     

Reliability Modeling: Linear Combination and Ratio of Exponential and Rayleigh

The distributions of linear combinations, and ratios of random variables arise explicitly in many reliability problems. This has increased the need to have available the widest possible range of statistical results on products of random variables. In this paper, the exact distributions of alphaX+betaY, and X/Y are derived when X, and Y follow two of the most applied models in reliability. Computer programs for calculating the associated percentage points are also given     

On the omega probability distribution

Dombi, Jónás, Tóth, and Árva (Quality and Reliability Engineering International, 2018, doi: 10.1002/qre.2425) introduced the omega probability distribution. They stated that main properties of this distribution are “difficult to deal with” analytically. In this note, we derive closed‐form expressions for all of the main properties of the omega distribution. A real data illustration of the derived expressions is also given.     

Statistical Analysis of Cognitive Radio Operation in a Periodic Pattern of Sensing and Transmission

A Cognitive Radio must sense the channel to detect spectrum holes. To this end, it senses the channel for $T_S$ and transmits its data for $N T_S$ , if the channel is not occupied by Primary User. It is expected that the more frequent arrivals of PU, characterized by the arrival rate $\lambda $ , provides CR with less opportunity. The aim of this paper is two-fold: analysis of the interaction between $N$ and $\lambda $ , as well as the access time of CR on the one hand and study of the possible benefits a variable decreasing modulation order might provide for CR on the other. In both cases, data rate of CR and the interference it causes for PU are considered as the performance measures.     

Genetic parameters for fertility of dairy bulls

Genetic parameters for male fertility and fertility ratings of AI bulls were obtained by analyzing 298,013 service records of cows with successive calving records. Cows were mated to 746 service bulls, which were progeny of 126 sires. The model for variance component estimation accounted for fixed effects of herd-year-seasons, sire of the service bull, age of mates, and random effects of service bull and residual error. Estimates of variances of service bulls and residual error components for bull fertility indicated almost 10% of the phenotypic variation for fertility is among AI bulls. Best linear unbiased prediction of fertility ratings of individual bulls with inclusion of sire and maternal grandsire relationships on these data permitted the evaluation of 886 AI bulls for bull fertility. Heritability for bull fertility computed as twice the regression of son on sire was .158. Differences in fertility ratings of AI bulls ranged from -.29 to .19. Prediction of fertility of young AI bulls and more accurate rating of proven bulls might be useful to the industry.     

SA-Mediated Regulation and Control of Abiotic Stress Tolerance in Rice

Environmental or abiotic stresses are a common threat that remains a constant and common challenge to all plants. These threats whether singular or in combination can have devastating effects on plants. As a semiaquatic plant, rice succumbs to the same threats. Here we systematically look into the involvement of salicylic acid (SA) in the regulation of abiotic stress in rice. Studies have shown that the level of endogenous salicylic acid (SA) is high in rice compared to any other plant species. The reason behind this elevated level and the contribution of this molecule towards abiotic stress management and other underlying mechanisms remains poorly understood in rice. In this review we will address various abiotic stresses that affect the biochemistry and physiology of rice and the role played by SA in its regulation. Further, this review will elucidate the potential mechanisms that control SA-mediated stress tolerance in rice, leading to future prospects and direction for investigation.     

Comparative Genomics: Insights on the Pathogenicity and Lifestyle of Rhizoctonia solani

Proper management of agricultural disease is important to ensure sustainable food security. Staple food crops like rice, wheat, cereals, and other cash crops hold great export value for countries. Ensuring proper supply is critical; hence any biotic or abiotic factors contributing to the shortfall in yield of these crops should be alleviated. Rhizoctonia solani is a major biotic factor that results in yield losses in many agriculturally important crops. This paper focuses on genome informatics of our Malaysian Draft R. solani AG1-IA, and the comparative genomics (inter- and intra- AG) with four AGs including China AG1-IA (AG1-IA_KB317705.1), AG1-IB, AG3, and AG8. The genomic content of repeat elements, transposable elements (TEs), syntenic genomic blocks, functions of protein-coding genes as well as core orthologous genic information that underlies R. solani’s pathogenicity strategy were investigated. Our analyses show that all studied AGs have low content and varying profiles of TEs. All AGs were dominant for Class I TE, much like other basidiomycete pathogens. All AGs demonstrate dominance in Glycoside Hydrolase protein-coding gene assignments suggesting its importance in infiltration and infection of host. Our profiling also provides a basis for further investigation on lack of correlation observed between number of pathogenicity and enzyme-related genes with host range. Despite being grouped within the same AG with China AG1-IA, our Draft AG1-IA exhibits differences in terms of protein-coding gene proportions and classifications. This implies that strains from similar AG do not necessarily have to retain similar proportions and classification of TE but must have the necessary arsenal to enable successful infiltration and colonization of host. In a larger perspective, all the studied AGs essentially share core genes that are generally involved in adhesion, penetration, and host colonization. However, the different infiltration strategies will depend on the level of host resilience where this is clearly exhibited by the gene sets encoded for the process of infiltration, infection, and protection from host.     

Maximum Likelihood Estimation for the Asymmetric Exponential Power Distribution

Computational Economics - The asymmetric exponential power (AEP) distribution has received much attention in economics and finance. Simulation study shows that iterative methods developed for...     

A Note on “The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset”

Wireless Personal Communications - Oguntunde et al. (Wirel Pers Commun 109:349–360, 2019) introduced the three-parameter Topp–Leone Lomax distribution and applied it to the airbone...