Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics

Coelho, Carlos A.; Arnold, Barry C.

doi:10.1007/978-3-030-28790-0_5

Cited by 4 publications

(5 citation statements)

References 69 publications

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“…In the final solution of the analytical expression for ABER (28), the Fox function appears, which is defined by the Mellin-Barnes type integral with the integrand containing products and quotients of the Euler Gamma functions. The Fox function generalizes most special functions and it can be developed in the form of integrals of different products [27,29,30]. MATLAB, Wolfram Mathematica and other software tools do not have the ability to directly calculate the Fox function, and program codes must be created for its software implementation.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…MATLAB, Wolfram Mathematica and other software tools do not have the ability to directly calculate the Fox function, and program codes must be created for its software implementation. There are several published program codes that evaluate the Fox function [30]. Using [27,[29][30][31] and by modification, numerical values for expression (28) were obtained.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…There are several published program codes that evaluate the Fox function [30]. Using [27,[29][30][31] and by modification, numerical values for expression (28) were obtained.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Performance analysis of WSN–FSO system modeled by Gamma–Chi-square channel distribution

Todorović¹,

Jakšić²,

Spalević³

et al. 2023

PEAS

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This paper presents the WSN-FSO (wireless sensor network-free-space optics) system based on CCR (corner cube retroreflector) and modeled with Gamma-Chi-square distribution. The expressions of ABER (average bit error rate) for the received signal under conditions of different levels of atmospheric turbulence are calculated. Numerical results are presented in the form of graphs, and the results are confirmed by the Monte Carlo simulation. Graphs are presented for different Rician factor values, link lengths, and different levels of atmospheric turbulence. The obtained results are compared with the existing results for other FSO channel distribution models. After thorough consideration we conclude that Gamma-Chi-square gives a better system performance in terms of ABER.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

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Performance analysis of WSN–FSO system modeled by Gamma–Chi-square channel distribution

Todorović¹,

Jakšić²,

Spalević³

et al. 2023

PEAS

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“…HAZ data were analysed using a multivariable linear regression model with adjustment for the clustering effect of stunting at the primary sampling stage, but we ignored observed insignificant clustering when analysing the WHZ data. 36 37 HAZ and WHZ estimates in the preceding season were considered to control for cohort effects when analysing baseline factors associated with stunting and wasting.…”

Section: Methodsmentioning

confidence: 99%

Seasonality and predictors of childhood stunting and wasting in drought-prone areas in Ethiopia: a cohort study

Kabalo

Lindtjørn

2022

BMJ Open

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Background and objectivesOver centuries, Ethiopia has experienced severe famines and periods of serious drought, and malnutrition remains a major public health problem. The aims of this study were to estimate seasonal variations in child stunting and wasting, and identify factors associated with both forms of child malnutrition in drought-prone areas.MethodsThis cohort study was conducted among a random sample of 909 children in rural southern Ethiopia. The same children were followed for 1 year (2017–2018) with quarterly repeated measurements of their outcomes: height-for-age and weight-for-height indices (Z-scores). Linear regression models were used to analyse the association between both outcomes and baseline factors (eg, household participation in a social safety net programme and water access) and some time-varying factors (eg, household food insecurity).ResultsChild wasting rates varied with seasonal household food insecurity (ᵪ2trend= 15.9, p=0.001), but stunting rates did not. Household participation in a social safety net programme was associated with decreased stunting (p=0.001) and wasting (p=0.002). In addition to its association with decreased wasting (p=0.001), protected drinking water access enhanced the association between household participation in a social safety net programme and decreased stunting (p=0.009). Absence of a household latrine (p=0.011), lower maternal education level (p=0.001), larger family size (p=0.004) and lack of non-farming income (p=0.002) were associated with increased child stunting.ConclusionsSeasonal household food insecurity was associated with child undernutrition in rural Ethiopia. Strengthening community-based food security programmes, such as the Ethiopian social safety net programme, could help to reduce child undernutrition in drought-prone areas. Improving clean water access and sanitation could also decrease child undernutrition.Key terms:Z-scores; Social safety net program; Water access

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“…HAZ data were analysed using a multivariable linear regression model with adjustment for the clustering effect of stunting at the primary sampling stage, but we ignored observed insignificant clustering when analysing the WHZ data 36, 37 . HAZ and WHZ estimates in the preceding season were considered to control for cohort effects when analysing baseline factors associated with stunting and wasting.…”

Section: Data and Measurementsmentioning

confidence: 99%

Seasonality and predictors of childhood stunting and wasting in drought-prone areas in Ethiopia: A cohort study

Kabalo

Lindtjørn

2022

Preprint

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Background and objectives: Over centuries, Ethiopia has experienced severe famines and periods of serious drought, and malnutrition remains a major public health problem. The aims of this study were to estimate seasonal variations in child stunting and wasting, and identify factors associated with both forms of child malnutrition in drought-prone areas. Methods: This cohort study was conducted among a random sample of 909 children in rural southern Ethiopia. The same children were followed for one year (2017 - 2018) with quarterly repeated measurements of their outcomes: height-for-age and weight-for-height indices (Z-scores). Linear regression models were used to analyse the association between both outcomes and baseline factors (e.g., household participation in a social safety net program and water access) and some time-varying factors (e.g., household food insecurity). Results: Child wasting rates (i.e., low weight-for-heigh Z-scores) varied with seasonal household food insecurity (ᵪ2 trend = 15.9, p = 0.001), but stunting rates (i.e., low height-for-age Z-scores) did not. Household participation in a social safety net program was associated with decreased stunting (p = 0.001) and wasting (p = 0.002). In addition to its association with decreased wasting (p = 0.001), protected drinking water access enhanced the association between household participation in a social safety net program and decreased stunting (p = 0.009). Absence of a household latrine (p = 0.011), lower maternal education level (p = 0.001), larger family size (p = 0.004), and lack of non-farming income (p = 0.002) were associated with increased child stunting. Conclusions: Seasonal household food insecurity was associated with child undernutrition in rural Ethiopia. Strengthening community-based food security programs, such as the Ethiopian social safety net program, could help to reduce child undernutrition in drought-prone areas. Improving clean water access and sanitation could also decrease child undernutrition. Key terms: Z-scores; Social safety net program; Water access

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Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics

Cited by 4 publications

References 69 publications

Performance analysis of WSN–FSO system modeled by Gamma–Chi-square channel distribution

Performance analysis of WSN–FSO system modeled by Gamma–Chi-square channel distribution

Seasonality and predictors of childhood stunting and wasting in drought-prone areas in Ethiopia: a cohort study

Seasonality and predictors of childhood stunting and wasting in drought-prone areas in Ethiopia: A cohort study

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